Miroslav Vořechovský homepage

Biosketch

I am a Professor at the Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Czech Republic. I joined the Institute in 2004 upon obtaining my PhD degree. In 2007, I was appointed as an Associate Professor following my habilitation, and in 2013, I was promoted to Full Professor.

Education

I obtained my engineering degree, with a focus on "Structures and Traffic Constructions" and a specialization in Structures, during my MSc studies (1995-2000) at the Brno University of Technology, Faculty of Civil Engineering. My doctoral dissertation ("summa cum laude") was completed between 2000 and 2004, culminating in a Ph.D. from the Institute of Structural Mechanics at the same university. During this period, I engaged in several extended research stays at RWTH Aachen University in Germany, collaborating with Dr. Rostislav Chudoba on the statistical strength of cementitious fibrous composites. My studies received partial supervision from Prof. Zdeněk P. Bažant at Northwestern University, Evanston, USA, where I also spent a research stint (2003-2004) under the Fulbright Program.

Teaching

My teaching portfolio at the Institute of Structural Mechanics spans a wide range of courses, from the fundamental mechanics of structures and strength of materials to specialized classes I personally guarantee in advanced theoretical and computational mechanics. These advanced courses delve into complex subjects such as nonlinear mechanics, with a focus on plasticity, damage, and fracture mechanics, in addition to exploring energetical principles and structural reliability.

Research Interests

My research primarily resides at the intersection of mechanics of solids, probability theory, and computer science. This multidisciplinary approach enables me to explore and contribute to a wide range of scientific inquiries, particularly in the realms of uncertainty quantification and stochastic methods. These methodologies are applied across computational mechanics and computational materials science, where my focus spans a diverse array of structures and materials. Since 2025, my research is supported by the European Research Council under ERC Synergy grant Fatrescon.

I specialize in methodological research in uncertainty quantification and stochastic methods with applications that extend into computational mechanics and computational materials science. The core of my work is centered around heterogeneous and quasi-brittle infrastructure materials. My analysis often involves studying redistribution processes under load in cementitious composites such as concrete, textile concrete, and other fibrous composites, including the fibrous reinforcements themselves. These materials are invariably examined in light of the spatial variability of their properties, utilizing random fields and discrete models, and I delve into the size effect on strength from both energetic and statistical perspectives. Supported by several agencies, my current research projects are focused on modeling the fatigue of concrete and the remodeling processes of bones.

A significant portion of my research is devoted to computational methods of structural reliability and uncertainty quantification. I emphasize the development of interpretable probabilistic analysis methods that leverage domain- or problem-specific knowledge. This includes not only variance reduction techniques but also the creation of techniques for generating optimal designs of computer experiments. These designs consider low discrepancy, space-filling properties, and statistical correlation, developed for initial model screening, one-shot designs, and adaptive designs using active learning to balance exploration with the exploitation of current information. In this context, I employ advanced surrogate models, such as polynomial chaos expansions, focusing on the probabilistic estimation of failure probability and its sensitivity to input variables. My work addresses both highly complex functions of input random variables and challenges associated with large input dimensions.

Moreover, I am actively involved in the development of software that implements these advanced techniques, applying them in my applied research in collaboration with companies. This blend of theoretical innovation and practical application underscores my commitment to advancing the field and contributing to its application in solving real-world problems.

In addition to the aforementioned areas, my research interests extend into a novel interdisciplinary domain that bridges the gap between engineering, biology, and medicine. This collaborative effort focuses on cell patterning and growth, epithelial morphogenesis, and chemo-mechanical modeling, with the aim of advancing research in cancer and fibrosis.

My award-winning contributions to applied research with industry are listed in section Applied research & Consulting.

Significant Recognition

Miroslav Vořechovský is featured in the publicly available list which contains either the top 100,000 scientists across all fields according to the composite citation index or those who are within the top 2% of scientists of their main subfield discipline doi (career-long updated to end-of-2019 doi , and to end-of-2020 doi , and to end-of-2021 doi ) . The list has been composed by reserchers from Stanford University and uses Scopus data provided by Elsevier through ICSR Lab.

awards

6/2000 - Dean's Award, Brno University of Technology (BUT),
6/2000 - Diploma Thesis Award, Brno University of Technology (BUT),
6/2000 - Rector's Award, Brno University of Technology (BUT),
01/2001 - Doctoral Scholarship, Hlávka Foundation, Prague,
05/2001 - Électricité de France, Conference Stipend of Excellence, FraMCoS conference, Paris, France (IA-FraMCoS = International Association of Fracture Mechanics for Concrete and Concrete Structures),
04/2002 - Award of the Hlávka Foundation, Prague,
05/2002 - Travel Stipend for Conference in Dundee, Scotland,
9/2002–6/2003 - Preciosa Scholarship, Preciosa company, Czech Republic,
09/2002 - Best Paper Award at the 4th International Ph.D. Symposium in Civil Engineering, Munich, Germany,
05/2003 - M.I.T. Young Researcher Fellowship Award, 2nd M.I.T. Conference, Boston, USA,
06/2003 - CERRA Award, ICASP 9 Conference, San Francisco, USA (CERRA = Civil Engineering Risk and Reliability Association),
09/2003–03/2004 - Fulbright Doctoral Fellowship, Northwestern University, Evanston, USA,
9/2004 - Rector's Award, Brno University of Technology (BUT),
2/2005 - Trimo Research Award 2005, Trimo Corporation, Slovenia,
2007 - First Place in Top10 Excellence VUT – Brno University of Technology Competition for Best Publishing Results in the whole university in 2007,
2012 - Sixth Place in Top10 Excellence VUT for Best Publishing Results in 2010,
09/2024 - Signum Excellentiae Medal, Faculty of Civil Engineering, Brno University of Technology

Publications

Journal papers

the password ("heslo") needed
to download papers: mirek

Jan Mašek & Miroslav Vořechovský. Uncertainty quantification of engineering problems using N-body system designs: An overview. Advances in Engineering Software, ISSN 1873-5339 (0965-9978), 207:103927, 2025. doi: 10.1016/j.advengsoft.2025.103927 | pdf |

bib

@article{MasVor:Nbody:ADES:25,
author = {Jan Ma{\v{s}}ek and Miroslav Vo{\v{r}}echovsk{\'{y}} },
title = {Uncertainty quantification of engineering problems using {N}-body system designs: {A}n overview},
journal = {Advances in Engineering Software},
publisher = {Elsevier},
volume = {207},
pages = {103927},
year = {2025},
issn = {1873-5339 (0965-9978)},
doi = {10.1016/j.advengsoft.2025.103927},
}

Miroslav Vořechovský & Adam Ciszkiewicz. Advanced sampling discovers apparently similar ankle models with distinct internal load states under minimal parameter modification. Journal of Computational Science, ISSN 1877-7503, 82:102425, 2024. doi: 10.1016/j.jocs.2024.102425 | pdf |

bib

@article{VorCis:Ankle:JCS:24,
author = {Miroslav Vo{\v{r}}echovsk{\'{y}} and Adam Ciszkiewicz },
title = {Advanced sampling discovers apparently similar ankle models with distinct internal load states under minimal parameter modification},
journal = {Journal of Computational Science},
publisher = {Elsevier},
volume = {82},
pages = {102425},
year = {2024},
issn = {1877-7503},
doi = {10.1016/j.jocs.2024.102425},
}

Miroslav Vořechovský, Lumír Miča & Jiří Boštík. Shallow foundation design: a comparative study of partial safety factors and full probabilistic method. Scientific Reports, ISSN 2045-2322, 14:13676, 2024. doi: 10.1038/s41598-024-63003-0 | pdf |

bib

@article{VorMicBos:Foundation:SciRep:24,
author = {Miroslav Vo{\v{r}}echovsk{\'{y}} and Lum{\'{i}}r Mi{\v{c}}a and Ji{\v{r}}{\'{i}} Bo{\v{s}}t{\'{i}}k },
title = {Shallow foundation design: a comparative study of partial safety factors and full probabilistic method},
journal = {Scientific Reports},
publisher = {Elsevier},
volume = {14},
pages = {13676},
year = {2024},
issn = {2045-2322},
doi = {10.1038/s41598-024-63003-0},
}

Jan Mašek & Miroslav Vořechovský. Stratified sample tiling. Advances in Engineering Software, ISSN 0965-9978, 189:103593, 2024. doi: 10.1016/j.advengsoft.2024.103593 | pdf |

bib

@article{MasVor:StrSamTil:ADES:24,
author = {Jan Ma{\v{s}}ek and Miroslav Vo{\v{r}}echovsk{\'{y}} },
title = {Stratified sample tiling},
journal = {Advances in Engineering Software},
publisher = {Elsevier},
volume = {189},
pages = {103593},
year = {2024},
issn = {0965-9978},
doi = {10.1016/j.advengsoft.2024.103593},
keywords = {Space-filling design, Uniform design, Low-discrepancy, Multivariate integration, Latinized stratified sample, Bias variance tradeoff, Quasi-Monte Carlo},
}

Lukáš Novák, Michael D. Shields, Václav Sadílek & Miroslav Vořechovský. Active Learning-based Domain Adaptive Localized Polynomial Chaos Expansion. Mechanical Systems and Signal Processing, ISSN 1096-1216, 204: 110728, 2023. doi: 10.1016/j.ymssp.2023.110728 | pdf |

bib

@article{NovShiSadVor:DALPCE:MSSP:23,
author = {Lukáš Novák and Michael Shields and Václav Sadílek and Miroslav Vořechovský},
title = {Active Learning-based Domain Adaptive Localized Polynomial Chaos Expansion},
journal = {Mechanical Systems and Signal Processing},
publisher = {Academic Press Inc.},
volume = {204},
pages = {110728},
year = {2023},
issn = {1096-1216},
doi = {10.1016/j.ymssp.2023.110728},
acknow = {22-00774S},
}

Marcos Gonzalez Lopez, Barbora Huteckova, Josef Lavický, Nikodem Zezula, Vladislav Rakultsev, Vendula Fridrichová, Haneen Tuaima, Cita Nottmeier, Julian Petersen, Michaela Kavková, Tomas Zikmund, Jozef Kaiser, Rupali Lav, Haza Star, Vítězslav Bryja, Petr Henyš, Miroslav Vořechovský, Abigail S. Tucker, Jakub Harnos, Marcela Buchtová & Jan Křivánek. Spatiotemporal monitoring of hard tissue development reveals unknown features of tooth and bone development. Science Advances, ISSN 2375-2548, 9(31):eadi0482, 2023. doi: 10.1126/sciadv.adi0482 | pdf |

bib

@article{Gonetal:SciAdv:23, author = {Marcos Gonzalez Lopez and Barbora Huteckova and Josef Lavick{\'{y}} and
Nikodem Zezula and Vladislav Rakultsev and Vendula Fridrichov{\'{a}} and
Haneen Tuaima and Cita Nottmeier and Julian Petersen and Michaela Kavkova and
Tomas Zikmund and Jozef Kaiser and Rupali Lav and Haza Star and Vítězslav Bryja and Petr Heny{\v{s}} and Miroslav Vo{\v{r}}echovsk{\'{y}} and Abigail S. Tucker and
Jakub Harnos and Marcela Buchtov{\'{a}} and Jan K{\v{r}}iv{\'{a}}nek},
title = {Spatiotemporal monitoring of hard tissue development reveals unknown features of tooth and bone development},
journal = {Science Advances},
publisher = {American Association for the Advancement of Science},
volume = {9},
number = {31},
pages = {eadi0482},
year = {2023},
issn = {2375-2548},
doi = {10.1126/sciadv.adi0482},
url = {https://www.science.org/doi/abs/10.1126/sciadv.adi0482},
acknow = {23-04974S},
}

Aleksei Gerasimov & Miroslav Vořechovský. Failure probability estimation and detection of failure surfaces via adaptive sequential decomposition of the design domain. Structural Safety, ISSN 0167-4730, 104: 102364, 2023. doi: 10.1016/j.strusafe.2023.102364 | pdf | supplementary file |

bib

@article{GerVor:PfSegment:23,
author = {Aleksei Gerasimov and Miroslav Vo{\v{r}}echovsk{\'{y}}},
title = {Failure probability estimation and detection of failure surfaces via adaptive sequential decomposition of the design domain},
journal = {Structural Safety},
publisher = {Elsevier},
volume = {104},
pages = {102364},
year = {2023},
issn = {0167-4730},
doi = {10.1016/j.strusafe.2023.102364},
url = {https://www.sciencedirect.com/science/article/pii/S0167473023000516},
}

Miroslav Vořechovský. Reliability analysis of discrete-state performance functions via adaptive sequential sampling with detection of failure surfaces. Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 401: 115606, 2022. doi: 10.1016/j.cma.2022.115606 | pdf |

bib

@article{Vor:AdaptPf:22,
author = {Miroslav Vo{\v{r}}echovsk{\'{y}}},
title = {Reliability analysis of discrete-state performance functions via adaptive sequential sampling with detection of failure surfaces},
journal = {Computer Methods in Applied Mechanics and Engineering},
publisher = {Elsevier},
volume = {401},
pages = {115606},
year = {2022},
issn = {0045-7825},
doi = {10.1016/j.cma.2022.115606},
url = {https://www.sciencedirect.com/science/article/pii/S0045782522005679},
}

Petr Henyš, Miroslav Vořechovský, Jan Stebel, Michal Kuchař & Pavel Exner. From computed tomography to finite element space: a unified bone material mapping strategy. Clinical Biomechanics, ISSN: 0268-0033, 97: 105704, 2022. doi: 10.1016/j.clinbiomech.2022.105704 | pdf |

bib

@article{HenVorSteKucExn:CB:22,
author = {Petr Heny{\v{s}} and Miroslav Vo{\v{r}}echovsk{\'{y}} and Jan Stebel and Michal Kucha{\v{r}} and Pavel Exner},
title = {From computed tomography to finite element space: a unified bone material mapping strategy},
journal = {Clinical Biomechanics},
volume = {97},
pages = {105704},
year = {2022},
issn = {0268-0033},
doi = {10.1016/j.clinbiomech.2022.105704},
url = {https://www.sciencedirect.com/science/article/pii/S0045782522003887},
publisher = {Elsevier},
}

Rostislav Chudoba, Miroslav Vořechovský, Mario Aguilar & Abedulgader Baktheer. Coupled sliding-decohesion-compression model for a consistent description of monotonic and fatigue behavior of material interfaces. Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 398: 115259, 2022. doi: 10.1016/j.cma.2022.115259 | pdf |

bib

@article{ChuVorAguBak:CMAME:22,
author = {Rostislav Chudoba and Miroslav Vo{\v{r}}echovsk{\'{y}} and Mario Aguilar and Abedulgader Baktheer},
title = {Coupled sliding–decohesion–compression model for a consistent description of monotonic and fatigue behavior of material interfaces},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {398},
pages = {115259},
year = {2022},
issn = {0045-7825},
doi = {10.1016/j.cma.2022.115259},
url = {https://www.sciencedirect.com/science/article/pii/S0045782522003887},
publisher = {Elsevier},
keywords = {Damage-plasticity, Mode-I–II fracture, Cyclic cohesive model, Hysteretic behavior, Fatigue loading},
abstract = {A thermodynamically consistent model proposed in this work introduces a generative symbolic framework for computational components, which can capture the inelastic behavior of interfaces with 3D kinematics in response to monotonic, cyclic, and fatigue loading histories. It contributes to a long list of existing cohesive zone models by introducing novel forms of potentials for free energy, threshold function, and dissipation to deliver the following model properties: (i) the evolution equations derived from the potentials are linked in such a way that damage develops along with the cumulative measure of plastic sliding, (ii) the convex, continuous, and smooth shape of the threshold function introduced in the effective stress domain enables a general and efficient time integration that automatically handles unloading and reloading, and (iii) the non-associative flow potential includes a scalable degree of coupling between normal and tangential damage evolution. The studies performed in the paper demonstrate that these model ingredients lead to a consistent coverage of arbitrary non-proportional loading scenarios in tangential and normal directions. For monotonic loading, the presented examples illustrate the ability of the model to reproduce the shear dilatancy, pressure sensitivity including the vertex effect, stiffness recovery in compression, and abrasion due to sliding. For cyclic fatigue loading, the studies show that the model reflects the link between the hysteretic behavior and the fatigue damage evolution. This link constitutes the basis for a physically sound description of fatigue degradation along material interfaces. It manifests itself in the presented energy breakdown with distinguished fractions of energy release due to damage and plasticity ascribed to normal and tangential directions. Two calibration and validation examples using pull-out tests exposed to monotonic and cyclic loading are provided to show the applicability of the model for the characterization of the bond between steel bars and concrete. A publicly available implementation using a computer algebra system (CAS) is provided in the form of an interactive Jupyter notebook to document the reproducibility of the results.}
}

Miroslav Vořechovský, Yingxiong Li and Rostislav Rypl & Rostislav Chudoba. Tensile Behavior of Carbon Textile Concrete Composite Captured Using a Probabilistic Multiscale Multiple Cracking Model. Composite Structures, ISSN: 0263-8223, 277: 114624, 2021 doi: 10.1016/j.compstruct.2021.114624 | pdf |

bib

@article{VorLiRypChu:CS:21,
author = {Miroslav Vo{\v{r}}echovsk{\'{y}} and Yingxiong Li and Rostislav Rypl and Rostislav Chudoba},
title = {Tensile behavior of carbon textile concrete composite captured using a probabilistic multiscale multiple cracking model},
journal = {Composite Structures},
volume = {277},
pages = {114624},
year = {2021},
issn = {0263-8223},
doi = {10.1016/j.compstruct.2021.114624},
url = {https://www.sciencedirect.com/science/article/pii/S0263822321010850},
publisher = {Elsevier}, }

Petr Henyš, Miroslav Vořechovský, Michal Kuchař, Axel Heinemann, Jiří Kopal, Benjamin Ondruschka & Niels Hammer. Bone mineral density modeling via random field: Normality, stationarity, sex and age dependence. Computer Methods and Programs in Biomedicine, ISSN: 0169-2607, 210: 106353, 2021. doi: 10.1016/j.cmpb.2021.106353, (published also as bioRxiv doi: 10.1101/2021.02.25.432881) | pdf |

bib

@article{HenVorKuch:CMPB:21,
author = {Petr Heny{\v{s}} and Miroslav Vo{\v{r}}echovsk{\'{y}} and Michal Kucha{\v{r}} and Axel Heinemann and Ji{\v{r}}{\'{i}} Kopal and Benjamin Ondruschka and Niels Hammer},
title = {Bone mineral density modeling via random field: Normality, stationarity, sex and age dependence},
journal = {Computer Methods and Programs in Biomedicine},
publisher = {Elsevier},
volume = {210},
pages = {106353},
year = {2021},
issn = {0169-2607},
doi = {10.1016/j.cmpb.2021.106353},
url = {https://www.sciencedirect.com/science/article/pii/S0169260721004272},
}

Lukáš Novák and Miroslav Vořechovský and Václav Sadílek & Michael D. Shields. Variance-based Adaptive Sequential Sampling for Polynomial Chaos Expansion. Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 386: 114105, 2021. doi: 10.1016/j.cma.2021.114105 | pdf |

bib

@article{NovVorSadShi:CMAME:21,
author = {Luk{\'{a}}{\v{s}} Nov{\'{a}}k and Miroslav Vo{\v{r}}echovsk{\'{y}} and V{\'{a}}clav Sad{\'{i}}lek and Michael D. Shields},
title = {Variance-based adaptive sequential sampling for Polynomial Chaos Expansion},
journal = {Computer Methods in Applied Mechanics and Engineering},
publisher = {Elsevier},
volume = {386},
pages = {114105},
year = {2021},
issn = {0045-7825},
doi = {10.1016/j.cma.2021.114105},
url = {https://www.sciencedirect.com/science/article/pii/S0045782521004369},
}

Rostislav Chudoba and Yingxiong Li and Rostislav Rypl and Homam Spartali & Miroslav Vořechovský. Probabilistic multiple cracking model of brittle-matrix composite based on a one-by-one crack tracing algorithm. Applied Mathematical Modelling (Elsevier), ISSN 0307-904X, 92: 315-332, 2021. doi: 10.1016/j.apm.2020.10.041 | pdf |

bib

@article{ChuLiRypSpaVor:MathMod:21,
author = {Rostislav Chudoba and Yingxiong Li and Rostislav Rypl and Homam Spartali and Miroslav Vo{\v{r}}echovsk{\'{y}}},
title = {Probabilistic multiple cracking model of brittle-matrix composite based on a one-by-one crack tracing algorithm},
journal = {Applied Mathematical Modelling},
publisher = {Elsevier},
volume = {92},
pages = {315--332},
year = {2021},
issn = {0307-904X},
doi = {10.1016/j.apm.2020.10.041},
url = {},
}

Jan Eliáš, Miroslav Vořechovský & Václav Sadílek. Periodic version of the minimax distance criterion for Monte Carlo integration. Advances in Engineering Software (Elsevier), ISSN 0965-9978, 149:102900, 2020. doi: 10.1016/j.advengsoft.2020.102900 | pdf |

bib

@article{EliVorSad:miniMax:ADES:20,
author = {Jan Eli{\'{a}}{\v{s}} and Miroslav Vo{\v{r}}echovsk{\'{y}} and V{\'{a}}clav Sad{\'{i}}lek },
title = {Periodic version of the minimax distance criterion for {M}onte {C}arlo integration},
journal = {Advances in Engineering Software},
publisher = {Elsevier},
volume = {149},
pages = {102900},
year = {2020},
issn = {0965-9978},
doi = {10.1016/j.advengsoft.2020.102900},
url = {},
}

Miroslav Vořechovský & Jan Mašek. Distance-based optimal sampling in a hypercube: Energy Potentials for High-Dimensional and Low-Saturation Designs. Advances in Engineering Software (Elsevier), ISSN 0965-9978, 149:102880, 2020. doi: 10.1016/j.advengsoft.2020.102880 | pdf |

bib

@article{VorMas:Nbody2:ADES:20,
author = {Miroslav Vo{\v{r}}echovsk{\'{y}} and Jan Ma{\v{s}}ek },
title = {Distance-based optimal sampling in a hypercube: {E}nergy Potentials for High-Dimensional and Low-Saturation Designs},
journal = {Advances in Engineering Software},
publisher = {Elsevier},
volume = {149},
pages = {102880},
year = {2020},
issn = {0965-9978},
doi = {10.1016/j.advengsoft.2020.102880},
url = {},
}

Miroslav Vořechovský & Jan Eliáš. Modification of the Maximin and φ_p (phi) criteria to achieve statistically uniform distribution of sampling points. Technometrics (Taylor & Francis), 62(3): 371—386, 2020. ISSN 0040-1706. doi: 10.1080/00401706.2019.1639550 | pdf |

bib

@article{VorEli:Technometrics:20,
author = {M. Vo{\v{r}}echovsk{\'{y}} and Jan Eli{\'{a}}{\v{s}}},
title = {Modification of the Maximin and $\phi_p$ (phi) criteria to achieve statistically uniform distribution of sampling points},
journal = {Technometrics},
volume = {62},
number = {3},
pages = {371--386},
year = {2020},
doi = {10.1080/00401706.2019.1639550},
acknow = {16-22230S},
apollo = {159828},
publisher={Taylor \& Francis},
}

Jan Eliáš & Miroslav Vořechovský. Fracture in random quasibrittle media: I. Discrete meso-scale simulations of load capacity and fracture process zone. Engineering Fracture Mechanics (Elsevier), 235: 107160. doi: 10.1016/j.engfracmech.2020.107160, ISSN 0013-7944, 2020. doi: 10.1016/j.engfracmech.2020.107160 | pdf |

bib

@article{EliVor:20:EFM:I,
author = "Jan Eli\'{a}\v{s} and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = "Fracture in random quasibrittle media: {I}. {D}iscrete meso-scale simulations of load capacity and fracture process zone",
journal = "Engineering Fracture Mechanics",
volume = "235",
pages = "107160",
year = "2020",
issn = "0013-7944",
pages = "107160",
year = "2020",
issn = "0013-7944",
doi = {10.1016/j.engfracmech.2020.107160},
}

Miroslav Vořechovský & Jan Eliáš. Fracture in random quasibrittle media: II. Analytical model based on extremes of the averaging process. Engineering Fracture Mechanics (Elsevier), 235:107155, doi: 10.1016/j.engfracmech.2020.107155, ISSN 0013-7944, 2020. | pdf |

bib

@article{VorEli:20:EFM:II,
author = "Miroslav Vo{\v{r}}echovsk{\'{y}} and Jan Eli\'{a}\v{s}",
title = "Fracture in random quasibrittle media: {II}. {A}nalytical model based on extremes of averaging process",
journal = "Engineering Fracture Mechanics",
volume = "235",
pages = "107155",
year = "2020",
issn = "0013-7944",
doi = {10.1016/j.engfracmech.2020.107155},
}

Miroslav Vořechovský, Jan Mašek & Jan Eliáš. Distance-based optimal sampling in a hypercube: Analogies to N-body systems. Advances in Engineering Software (Elsevier), ISSN 0965-9978, 137:102709, 2019. doi: 10.1016/j.advengsoft.2019.102709, | pdf |

bib

@article{VorMasEli:Nbody:ADES:19,
author = {Miroslav Vo{\v{r}}echovsk{\'{y}} and Jan Ma{\v{s}}ek and Jan Eli{\'{a}}{\v{s}}},
title = {Distance-based optimal sampling in a hypercube: {A}nalogies to {N}-body systems},
journal = {Advances in Engineering Software},
publisher = {Elsevier},
volume = {137},
pages = {102709},
year = {2019},
issn = {0965-9978},
doi = {10.1016/j.advengsoft.2019.102709},
url = {http://www.sciencedirect.com/science/article/pii/S0965997819301164},
}

Jan Mašek & Miroslav Vořechovský. Approximation of Voronoï cell attributes using parallel solution. Advances in Engineering Software (Elsevier), ISSN 0965-9978, 132: 7—17, 2019. doi: 10.1016/j.advengsoft.2019.03.012, | pdf |

bib

@article{masvor:ADES:VoronoiApproxErr:19,
author = {Jan Ma{\v{s}}ek and Miroslav Vo{\v{r}}echovsk{\'{y}} },
title = {Approximation of Vorono\"{\i} cell attributes using parallel solution},
journal = {Advances in Engineering Software},
publisher = {Elsevier},
volume = "132",
pages = "7--17",
year = "2019",
issn = "0965-9978",
doi = {10.1016/j.advengsoft.2019.03.012},
}

Jan Novák & Miroslav Vořechovský. Generalization of coloring linear transformation. Transactions of the VŠB - Technical University of Ostrava, Civil Engineering Series, XVIII(2):31—35, 2018. doi: 10.31490/tces-2018-0013, | pdf |

bib

@article{NovVor:Trans:18,
author = "Luk\'{a}\v{s} Nov\'{a}k and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = {Generalization of Coloring Linear Transformation},
journal = {Transactions of the V{\v{S}}B – Technical University of Ostrava, Civil Engineering Series},
volume = {18},
number = {2},
pages = {31--35},
year = {2018},
issn = {1804-4824},
publisher = {De Gruyter},
doi = {10.31490/tces-2018-0013},
url = {http://tces.vsb.cz/Home/ArticleDetail/459},
}

Václav Sadílek & Miroslav Vořechovský. Evaluation of pairwise distances among points forming a regular orthogonal grid in a hypercube. Journal of Civil Engineering and Management (Taylor and Francis), ISSN 1392-3730, 24(5): 410—423, 2018. doi: 10.3846/jcem.2018.5189, | pdf |

bib

@article{SadVor:JCEM:Ortogrid:18,
author = {V\'{a}clav Sad\'{i}lek and Miroslav Vo{\v{r}}echovsk{\'{y}}},
title = {Evaluation of pairwise distances among points forming a regular orthogonal grid in a hypercube},
journal = {Journal of Civil Engineering and Management},
volume = {24},
number = {5},
pages = {410--523},
year = {2018},
note = "",
issn = {1392-3730},
publisher = {Taylor and Francis, VGTU Press},
doi = {10.3846/jcem.2018.5189},
url = {https://journals.vgtu.lt/index.php/JCEM/article/view/5189},
}

Jan Mašek & Miroslav Vořechovský. Parallel Implementation of Hyper-Dimensional Dynamical Particle System on CUDA. Advances in Engineering Software (Elsevier), doi: 10.1016/j.advengsoft.2018.03.009 | ISSN 0965-9978, 125: 178—187, 2018. doi: 10.1016/j.advengsoft.2018.03.009, | pdf |

bib

@article{MasVor:ADES:CUDAparticles:18,
author = "Jan Ma{\v{s}}ek and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = "Parallel Implementation of Hyper-Dimensional Dynamical Particle System on {CUDA}",
journal = "Advances in Engineering Software",
volume = "125",
number = "",
pages = "178--187",
year = "2018",
note = "",
issn = "0965-9978",
publisher = {Elsevier},
doi = {10.1016/j.advengsoft.2018.03.009},
url = "https://www.sciencedirect.com/science/article/pii/S0965997817307421",
}

Miroslav Vořechovský, Rostislav Rypl & Rostislav Chudoba. Probabilistic crack bridge model reflecting random bond properties and elastic matrix deformation. Composites Part B: Engineering (Elsevier), 139:130-145, 2018. doi: 10.1016/j.compositesb.2017.11.040, | pdf |

bib

@article{VorRypChu:CPB:ElastCB:18,
author = "Miroslav Vo{\v{r}}echovsk{\'{y}} and Rostislav Rypl and Rostislav Chudoba",
title = "Probabilistic crack bridge model reflecting random bond properties and elastic matrix deformation",
journal = "Composites Part B: Engineering",
volume = "139",
number = "",
pages = "130--145",
year = "2018",
note = "",
issn = "1359-8368",
publisher = {},
doi = {10.1016/j.compositesb.2017.11.040},
}

Magdalena Martinásková & Miroslav Vořechovský. Failure Probability Estimation Using Asymptotic Sampling and Its Dependence upon the Selected Sampling Scheme. Transactions of the VŠB – Technical University of Ostrava (De Gruyter, Berlin), doi: 10.1515/tvsb-2017-0029, ISSN 0167-8442, 17(2):65—72, 2017. | pdf |

bib

@article{SmiVor:Trans:17,
author = "Magdalena Martin\'{a}skov\'{a} and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = "Failure Probability Estimation Using Asymptotic Sampling and Its Dependence upon the Selected Sampling Scheme",
journal = "Transactions of the V{\v{S}}B – Technical University of Ostrava",
volume = "17",
number = "2",
pages = "65--72",
year = "2017",
note = "paper #29",
issn = "1804-4824",
publisher = {De Gruyter},
doi = {10.1515/tvsb-2017-0029},
url = "https://www.ingentaconnect.com/content/doaj/18044824/2017/00000017/00000002/art00009;jsessionid=28ne2iq8eitjt.x-ic-live-03",
}

Zbyněk Keršner, Miroslav Vořechovský, Lucie Malíková & Martin Krejsa. Vaclav Vesely 1975 — 2016. Theoretical and Applied Fracture Mechanics, doi: 10.1016/j.tafmec.2017.05.013, ISSN 0167-8442, 91:2, 2017. | pdf |

bib

@article{KerVorMal:VV:TAFM:17,
author = "Zbyn\v{e}k Ker\v{s}ner and Miroslav Vo{\v{r}}echovsk{\'{y}} and Lucie Mal\'{i}kov\'{a} and Martin Krejsa",
title = "Vaclav Vesely 1975–2016 ",
journal = "Theoretical and Applied Fracture Mechanics",
volume = "91",
number = "",
pages = "2",
year = "2017",
note = "Mixed Mode Fracture: Recent Developments",
issn = "0167-8442",
doi = {10.1016/j.tafmec.2017.05.013},
url = "http://www.sciencedirect.com/science/article/pii/S0167844217302513",
}

Jan Mašek & Miroslav Vořechovský. On the influence of the interaction laws of a dynamical particle system for sample optimization. Transactions of the VŠB – Technical University of Ostrava (De Gruyter, Berlin), doi: 10.1515/tvsb-2017-0016, 17(1):137—146, 2017. ISSN 1804-4824. | pdf |

bib

@article{MasVor:Trans:17,
author = "Jan Ma{\v{s}}ek and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = "On the influence of the interaction laws of a dynamical particle system for sample optimization",
journal = "Transactions of the V{\v{S}}B – Technical University of Ostrava",
volume = "17",
number = "1",
pages = "137--146",
year = "2017",
issn = "1804-4824",
publisher = {De Gruyter, Berlin},
doi = {10.1515/tvsb-2017-0016},
url = "https://www.degruyter.com/view/j/tvsb.2017.17.issue-1/tvsb-2017-0016/tvsb-2017-0016.xml",
}

Jan Mašek & Miroslav Vořechovský. Multiscale probabilistic modeling of a crack bridge in glass fiber reinforced concrete. Applied and Computational Mechanics, doi: 10.24132/acm.2017.334, 11(1):59—68, 2017. | pdf |

bib

@article{RypVor:GFRC:ACM:17,
author = "Rostislav Rypl and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = "Multiscale probabilistic modeling of a crack bridge in glass fiber reinforced concrete",
journal = "Applied and Computational Mechanics",
volume = "11",
number = "1",
pages = "59--68",
year = "2017",
note = "",
issn = "",
publisher = {University of West Bohemia, Pilsen, Czech Republic},
doi = {10.24132/acm.2017.334},
url = "https://www.kme.zcu.cz/acm/acm/article/view/334",
}

Jan Mašek, Petr Frantík & Miroslav Vořechovský. Design Of Experiment Using Simulation Of A Discrete Dynamical System. Transactions of the VŠB – Technical University of Ostrava (De Gruyter, Berlin), doi: 10.1515/tvsb-2016-0023, 100:82—96, 2016. | pdf |

bib

@article{MasFraVor:Trans:16,
title = "Design Of Experiment Using Simulation Of A Discrete Dynamical System",
journal = "Transactions of the V{\v{S}}B – Technical University of Ostrava",
volume = "16",
number = "2",
pages = "125--134",
year = "2016",
note = "",
issn = "",
publisher = {De Gruyter},
doi = {10.1515/tvsb-2016-0023},
url = "",
author = "Jan Ma{\v{s}}ek and Petr Frant\'{i}k and Miroslav Vo{\v{r}}echovsk{\'{y}}",
keywords = "Design of Experiment (DoE)",
keywords = "design space",
keywords = "discrete dynamical system",
keywords = "pseudo-particles",
keywords = "massive parallelization"
}

Jan Eliáš & Miroslav Vořechovský. Modification of the Audze–Eglājs criterion to achieve a uniform distribution of sampling points. Advances in Engineering Software (Elsevier), doi: 10.1016/j.advengsoft.2016.07.004, 16(2):125—134, 2016. | pdf |

bib

@article{EliVor:ADES:PAE:16,
author = "Jan Eli\'{a}\v{s} and Miroslav Vo{\v{r}}echovsk{\'{y}}",
title = "Modification of the Audze--Egl{\={a}}js criterion to achieve a~uniform distribution of sampling points",
journal = "Advances in Engineering Software",
volume = "100",
number = "",
pages = "82--96",
year = "2016",
issn = "0965-9978",
publisher = {Elsevier},
doi = {10.1016/j.advengsoft.2016.07.004},
url = {http://www.sciencedirect.com/science/article/pii/S0965997816301776},
keywords = "Design of experiments",
keywords = "Periodic boundary conditions",
keywords = "Latin Hypercube sampling",
keywords = "Uniform distribution",
keywords = "Combinatorial optimization",
keywords = "Audze-Eglajs criterion",
}

Jan Eliáš, Miroslav Vořechovský, Jan Skoček & Zdeněk P. Bažant. Stochastic discrete meso-scale simulations of concrete fracture: Comparison to experimental data. Engineering Fracture Mechanics (Pergamon), doi: 10.1016/j.engfracmech.2015.01.004 135:1-16, 2015. | pdf |

bib

@article{EliVorSkoBaz:LatticeRand:EFM:15,
AUTHOR = {J. Eli\'{a}\v{s} and M. Vo{\v{r}}echovsk{\'{y}} and J. Sko{\v{c}}ek and Z. Ba{\v{z}}ant},
TITLE = {Stochastic discrete meso-scale simulations of concrete fracture: {C}omparison to experimental data},
YEAR = {2015},
JOURNAL = {Engineering Fracture Mechanics},
publisher = {Pergamon},
volume = {135},
number = {},
pages = {1--16},
doi = {10.1016/j.engfracmech.2015.01.004},
issn = {0013-7944},
}

Miroslav Vořechovský. Hierarchical refinement of Latin Hypercube Samples. Computer-Aided Civil and Infrastructure Engineering (Wiley), doi: 10.1111/mice.12088 30:394-411, 2015. | pdf |

bib

@article{Vor:HLHS:CACAIE:15,
AUTHOR = {M. Vo{\v{r}}echovsk{\'{y}}},
TITLE = {Hierarchical refinement of Latin Hypercube Samples},
YEAR = {2015},
JOURNAL = {Computer-Aided Civil and Infrastructure Engineering},
publisher = {Wiley},
volume = {30},
number = {5},
pages = {394--411},
month = {},
note = {},
doi = {10.1111/mice.12088},
PUBSITE = {},
issn = {1467-8667},
}

Drahomír Novák, Miroslav Vořechovský & Břetislav Teplý. FReET: Software for the statistical and reliability analysis of engineering problems and FReET-D: Degradation module. Advances in Engineering Software (Elsevier), doi: 10.1016/j.advengsoft.2013.06.011 72:179-192, 2014. | pdf |

bib

@article{NovVorTep:FREET:ADES:14,
title = {FReET: Software for the statistical and reliability analysis of engineering problems and {FReET-D}: {D}egradation module},
journal = {Advances in Engineering Software},
volume = {72},
pages = {179--192},
year = {2014},
note = {Special Issue dedicated to Professor Zdeněk Bittnar on the occasion of his Seventieth Birthday: Part 2},
issn = {0965-9978},
doi = {10.1016/j.advengsoft.2013.06.011},
url = {https://www.sciencedirect.com/science/article/pii/S0965997813001099},
author = {Drahomír Nov{\'{a}}k and Miroslav Vo{\v{r}}echovsk{\'{y}} and B{\v{r}}etislav Tepl{\'{y}}},
keywords = {Statistical analysis, Sensitivity, Reliability, Monte Carlo simulation, Latin Hypercube Sampling, Simulated annealing, Random fields, Material degradation},
}

Dita Vořechovská & Miroslav Vořechovský. Analytical and numerical approaches to modelling of reinforcement corrosion in concrete. Transactions of the VŠB - Technical University of Ostrava, Civil Engineering Series, DOI: 10.2478/tvsb-2014-0003 XIV(1):1--11, 2014. | pdf |

bib

@article{VorVor:SborVedPrac:Ostrava:14,
author = {},
title = {},
journal = {},
volume = {},
pages = {},
year = {2014},
issn = {},
doi = {},
url = {},
}

Miroslav Vořechovský & Jana Kaděrová. Vývoj norem korelace při náhodných záměnách pořadí elementů. Transactions of the VŠB - Technical University of Ostrava, Civil Engineering Series, 5:217-226, 2013. |

bib

@article{VorKad:SborVedPrac:Ostrava:13,
author = {},
title = {},
journal = {},
volume = {},
pages = {},
year = {2013},
issn = {},
doi = {},
url = {},
}

Jan Eliáš, Miroslav Vořechovský & Jia-Liang Le. Lattice modeling of concrete fracture including material spatial randomness. Engineering mechanics , 20(5):413-426, 2013. |

bib

@article{EliVorLe:IMjournal:13,
author = {},
title = {},
journal = {},
volume = {},
pages = {},
year = {2013},
issn = {},
doi = {},
url = {},
}

Miroslav Vořechovský, Václav Sadílek & Rostislav Rypl. Probabilistic evaluation of crack bridge performance in fiber reinforced composites. Engineering mechanics, 20(1):3-11, 2013. |

bib

@article{VorSadRyp:Fibers:EM:13,
author = {},
title = {},
journal = {},
volume = {},
pages = {},
year = {2013},
issn = {},
doi = {},
url = {},
}

Jana Kaděrová & Miroslav Vořechovský. Experimental Testing of Statistical Size Effect in Civil Engineering Structures. An international Journal of Science (Engineering and Technology World Academy of Science Engineering and Technology), ISSN 2010-376X, 516-523, 2013. | pdf |

bib

@article{KadVor:WASET:13,
author = {},
title = {},
journal = {},
volume = {},
pages = {},
year = {2013},
issn = {},
doi = {},
url = {},
}

Rostislav Rypl, Rostislav Chudoba, Alex Scholzen & Miroslav Vořechovský Brittle matrix composites with heterogeneous reinforcement: Multi-scale model of a crack bridge with rigid matrix. Composites Science and Technology (Elsevier), DOI: 10.1016/j.compscitech.2013.09.014 89:98-109, 2013. | pdf |

bib

@article{RypChuSchVor:PartI:CST:13,
title = {Brittle matrix composites with heterogeneous reinforcement: Multi-scale model of a crack bridge with rigid matrix},
journal = {Composites Science and Technology},
volume = {89},
pages = {98--109},
year = {2013},
issn = {0266-3538},
doi = {10.1016/j.compscitech.2013.09.014},
url = {https://www.sciencedirect.com/science/article/pii/S026635381300376X},
author = {R. Rypl and R. Chudoba and A. Scholzen and M. Vo{\v{r}}echovsk{\'{y}}},
keywords = {A. Ceramic-matrix composites (CMCs), B. Strength, B. Stress/strain curves, C. Multiscale modeling, C. Statistics},
}

Rostislav Chudoba, Václav Sadílek, Rostislav Rypl & Miroslav Vořechovský Using python for scientific computing: an efficient and flexible evaluation of the statistical characteristics of functions with multivariate random inputs. Computer Physics Communications (Elsevier), DOI: 10.1016/j.cpc.2012.08.021 184(2):414-427, 2013. | pdf |

bib

@article{ChuSadRypVor:CPC:Spirrid:13,
author = {R. Chudoba and V. Sad{\'{i}}lek and R. Rypl and M. Vo{\v{r}}echovsk{\'{y}}},
title = {Using Python for scientific computing: an efficient and flexible evaluation of the statistical characteristics of functions with multivariate random inputs},
year = {2013},
journal = {Computer Physics Communications (Elsevier)},
volume = {184},
number = {2},
pages = {414--427},
doi = {10.1016/j.cpc.2012.08.021},
pubsite = {http://www.journals.elsevier.com/computer-physics-communications/},
issn = {0010-4655},
}

Miroslav Vořechovský & Jan Eliáš. Relation between structural size and the discretization density of brittle homogeneous lattice models. Key Engineering Materials, 525-526:485-488, 2013. | pdf |

bib

@article{VorEli:KEM:13,
author = {M. Vo{\v{r}}echovsk{\'{y}} and Jan Eli\'{a}\v{s} },
title = {Relation between structural size and the discretization density of brittle homogeneous lattice models},
year = {2013},
journal = {Key Engineering Materials},
volume = {525-526},
publisher = {Trans Tech Publications, Switzerland},
number = {},
pages = {485--488},
pubsite = {},
isbn = {},
issn = {1662-9795},
www = {http://www.scientific.net/KEM.525-526},
doi = {10.4028/www.scientific.net/KEM.525-526.485},
}

Miroslav Vořechovský. Optimal singular correlation matrices estimated when sample size is less than the number of random variables. Probabilistic Engineering Mechanics (Elsevier), DOI: 10.1016/j.probengmech.2012.06.003, 30:104-116, 2012. | pdf |

bib

@article{Vor:PEM:Supersaturated:12,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Optimal singular correlation matrices estimated when sample size is less than the number of random variables},
year = {2012},
journal = {Probabilistic Engineering Mechanics (Elsevier)},
volume = {30},
pages = {104--116},
pubsite = {http://www.elsevier.com/wps/find/journaldescription.cws_home/505664/description#description},
issn = {0167-4730},
doi = {10.1016/j.probengmech.2012.06.003},
}

Miroslav Vořechovský. Correlation control in small sample Monte Carlo type simulations II: Analysis of estimation formulas, random correlation and perfect uncorrelatedness. Probabilistic Engineering Mechanics (Elsevier), 29:105-120, 2012. | pdf |

bib

@article{Vor:PEM:SwitchII:12,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Correlation control in small sample {M}onte {C}arlo type simulations {II}: {A}nalysis of estimation formulas, random correlation and perfect uncorrelatedness},
year = {2012},
journal = {Probabilistic Engineering Mechanics (Elsevier)},
volume = {29},
pages = {105--120},
pubsite = {http://www.elsevier.com/wps/find/journaldescription.cws_home/422923/description#description},
issn = {0266-8920},
doi = {10.1016/j.probengmech.2011.09.004},
}

Miroslav Vořechovský, Lumír Miča & Jiří Boštík. Posouzení únosnosti plošného základu - část 2 Ověření spolehlivosti návrhu plně pravděpodobnostní metodou. Stavební obzor, (2):40-45, 2012. | pdf |

bib

@article{VorMicBos:SO:12,
author = {M. Vo{\v{r}}echovsk{\'{y}} and Lum{\'{i}}r Mi{\v{c}}a and Ji{\v{r}}{\'{i}} Bo{\v{s}}t{\'{i}}k },
title = {Posouzení únosnosti plošného základu - část 2 {O}věření spolehlivosti návrhu plně pravděpodobnostní metodou},
journal = {Stavební obzor},
year = {2012},
number = {2},
pages = {40--45},
address = {},
issn = {1210-4027},
www = {http://www.stavebniobzor.cz/},
}

Jiří Boštík, Lumír Miča & Miroslav Vořechovský. Posouzení únosnosti plošného základu - část 1 Návrh pomocí metody dílčích součinitelů. Stavební obzor, (1):1-3, 2012. | pdf |

bib

@article{BosMicVor:SO:12,
author = {Ji{\v{r}}{\'{i}} Bo{\v{s}}t{\'{i}}k and Lum{\'{i}}r Mi{\v{c}}a and M. Vo{\v{r}}echovsk{\'{y}} },
title = {Posouzení únosnosti plošného základu - část 1 {N}ávrh pomocí metody dílčích součinitelů},
journal = {Stavební obzor},
year = {2012},
editor = {},
publisher = {},
volume = {},
number = {1},
pages = {1--3},
address = {},
issn = {1210-4027},
www = {http://www.stavebniobzor.cz/},
}

Jan Eliáš & Miroslav Vořechovský. The effect of mesh density in lattice models for concrete with incorporated mesostructure. Key Engineering Materials, 488-489:29-32, 2012. | DOI | pdf |

bib

@article{EliVor:KEM:12,
author = {Jan Eli\'{a}\v{s} and M. Vo{\v{r}}echovsk{\'{y}} },
title = {The Effect of Mesh Density in Lattice Models for Concrete with Incorporated Mesostructure},
year = {2012},
journal = {Key Engineering Materials},
volume = {488-489},
publisher = {Trans Tech Publications, Switzerland},
pages = {29--32},
pubsite = {},
isbn = {978-3-03785-218-7},
issn = {1662-9795},
www = {http://www.scientific.net/KEM.488-489},
doi = {10.4028/www.scientific.net/KEM.488-489.29},
}

Rostislav Chudoba, Miroslav Vořechovský & Rostislav Rypl. Identification of the effective bundle length in a multifilament yarn from the size effect response. Journal of Composite Materials - SAGE, 45(25):70-78, DOI: 10.1177/0021998311401068, 2011. | pdf |

bib

@article{ChuVorRyp:JCM:IdenLength:11,
author = {R. Chudoba and M. Vo{\v{r}}echovsk{\'{y}} and R. Rypl},
title = {Identification of the Effective Bundle Length in a Multifilament Yarn from the Size Effect Response},
year = {2011},
journal = {Journal of Composite Materials - SAGE},
volume = {45},
number = {25},
pages = {70--78},
pubsite = {http://jcm.sagepub.com/content/45/25/2659},
issn = {0021-9983},
doi = {10.1177/0021998311401068},
}

Miroslav Vořechovský & Václav Sadílek. Probabilistic determination of the number of fibers bridging a crack in short fiber reinforced composites. Bulletin of Applied Mechanics, 7(26):21-25, 2011. | pdf | html |

bib

@article{VorSad:BAM:11,
author = {M. Vo{\v{r}}echovsk{\'{y}} and V. Sad{\'{i}}lek},
title = {Probabilistic determination of the number of fibers bridging a crack in short fiber reinforced composites},
journal = {Bulletin of Applied Mechanics},
year = {2011},
publisher = {Czech Technical University in Prague, Faculty of Mechanical Engineering},
volume = {7},
number = {26},
pages = {21--25},
organization = {Czech Technical University in Prague, Faculty of Mechanical Engineering},
issn = {1801-1217},
url = {http://bulletin-am.cz/index.php/vam/article/view/190},
}

Miroslav Vořechovský. Discussion of “Mechanism behind the size effect phenomenon” by Xiaozhi Hu and Kai Duan. Journal of Engineering Mechanics (ASCE), 137(4):304-304, 2011. | DOI | pdf |

bib

@article{Vor:Discuss:JEM:11,
author = {M. Vo{\v{r}}echovsk{ \'{y} } },
title = {Discussion of ``Mechanism behind the Size Effect Phenomenon'' by Xiaozhi Hu and Kai Duan},
journal = {Journal of Engineering Mechanics (ASCE)},
year = {2011},
volume = {137},
number = {4},
pages = {304--304},
url = {http://link.aip.org/link/?QEM/137/304/1},
doi = {10.1061/(ASCE)EM.1943-7889.0000207},
issn = {0733-9399},
}

Jan Eliáš, Petr Frantík & Miroslav Vořechovský. Improved sequentially linear solution procedure. Engineering Fracture Mechanics, 77(12):2263-2276, DOI: 10.1016/j.engfracmech.2010.05.018, 2010. | pdf |

bib

@article{EliFraVor:Lattice:EFM:10,
author = {Jan Eli\'{a}\v{s} and Petr Frant\'{i}k and M. Vo{\v{r}}echovsk{\'{y}}},
title = {Improved sequentially linear solution procedure},
journal = {Engineering Fracture Mechanics},
year = {2010},
volume = {77},
number = {12},
pages = {2263--2276},
publisher = {Elsevier},
doi = {10.1016/j.engfracmech.2010.05.018},
issn = {0013-7944},
}

Miroslav Vořechovský. Incorporation of statistical length scale into Weibull strength theory for composites. Composite Structures, 92(9):2027--2034, DOI: 10.1016/j.compstruct.2009.11.025 2010. | pdf | publisher site |

bib

@article{Vor:ComposStru:10,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Incorporation of statistical length scale into {W}eibull strength theory for composites},
journal = {Composite Structures},
year = {2010},
volume = {92},
number = {9},
pages = {2027--2034},
publisher = {Elsevier},
doi = {10.1016/j.compstruct.2009.11.025},
issn = {0263-8223},
}

Miroslav Vořechovský & Drahomír Novák. Correlation control in small sample Monte Carlo type simulations I: A Simulated Annealing approach. Probabilistic Engineering Mechanics (Elsevier), 24(3):452-462, DOI: 10.1016/j.probengmech.2009.01.004, 2009. | pdf |

bib

@article{VorNov:PEM:SwitchI:09,
author = {M. Vo{\v{r}}echovsk{\'{y}} and D. Nov\'{a}k},
title = {Correlation control in small sample {M}onte {C}arlo type simulations {I}: {A} {S}imulated {A}nnealing approach},
journal = {Probabilistic Engineering Mechanics (Elsevier)},
year = {2009},
volume = {24},
number = {3},
pages = {452--462},
doi = {10.1016/j.probengmech.2009.01.004},
pubsite = {http://www.elsevier.com/wps/find/journaldescription.cws_home/422923/description#description},
issn = {0266-8920},
}

Miroslav Vořechovský & Václav Sadílek. Computational modeling of size effects in concrete specimens under uniaxial tension. International Journal of Fracture (Springer), 154(1-2):27-49, 2008. DOI: 10.1007/s10704-009-9316-9. | pdf |

bib

@article{VorSad:08:IJF,
author = {M. Vo{\v{r}}echovsk{\'{y}} and V\'{a}clav Sad{\'{i}}lek},
title = {Computational modeling of size effects in concrete specimens under uniaxial tension},
journal = {International Journal of Fracture},
year = {2008},
volume = {154},
number = {1-2},
pages = {27--49},
publisher = {Springer Netherlands},
doi = {10.1007/s10704-009-9316-9},
pubsite = {http://www.springerlink.com/content/2517221274045436/?p=fd81bb01d5744c1daa7ea4ebc6e24bcc&pi=3},
issn = {0376-9429},
}

Miroslav Vořechovský. Simulation of simply cross correlated random fields by series expansion methods. Structural safety (Elsevier), 30(4):337-363, 2008. | DOI | pdf |

bib

@article{Vorech:08:CrossCorr, author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Simulation of simply cross correlated random fields by series expansion methods},
journal = {Structural safety (Elsevier)},
year = {2008},
pages = {337--363},
doi = {10.1016/j.strusafe.2007.05.002},
volume = {30},
number = {4},
pubsite = {http://www.elsevier.com/wps/find/journaldescription.cws_home/505664/description#description},
issn = {0167-4730},
}

Rostislav Chudoba, Miroslav Vořechovský, Vera Eckers & Thomas Gries. Effect of twist, fineness, loading rate and length on tensile behavior of multifilament yarns (a multivariate study). Textile Research Journal (Sage), 77(11):880-891, DOI: 10.1177/0040517507081280, 2007. | pdf |

bib

@article{ChuVorHanGri:TRJ:07,
author = {R. Chudoba and M. Vo{\v{r}}echovsk{\'{y}} and V. Eckers and T. Gries},
title = {Effect of twist, fineness, loading rate and length on tensile behavior of multifilament yarns (a multivariate study)},
journal = {Textile Research Journal (Sage)},
pubsite = {http://www.sagepub.co.uk/journalsProdDesc.nav?prodId=Journal201755},
year = {2007},
doi = {10.1177/0040517507081280},
volume = {77},
number = {11},
pubsite = {http://trj.sagepub.com/},
pdf = {http://www.fce.vutbr.cz/STM/vorechovsky.m/papers/7j.pdf},
pages = {880--891},
issn = {0040-5175},
}

Zdeněk P. Bažant, Sze-Dai Pang, Miroslav Vořechovský & Drahomír Novák. Energetic-statistical size effect simulated by SFEM with stratified sampling and crack band model. International Journal for Numerical Methods in Engineering (Wiley), 71(11):1297-1320, 2007. DOI: 10.1002/nme.1986, | pdf |

bib

@article{BazNovVorechPang:StochCrack:07,
author = {Z.~P. Ba\v{z}ant and S.~D. Pang and M. Vo{\v{r}}echovsk{\'{y}} and D. Nov\'{a}k},
title = {Energetic-Statistical Size Effect Simulated by {SFEM} with Stratified Sampling and Crack Band Model},
journal = {International Journal for Numerical Methods in Engineering (Wiley)},
year = {2007},
volume = {71},
number = {11},
pages = {1297--1320},
doi = {10.1002/nme.1986},
note = {also a Report \cite{BazNovVorechPang:StochCrack:NUReport:2005}},
pubsite = {http://www3.interscience.wiley.com/cgi-bin/abstract/114122853/ABSTRACT},
pdf = {http://www.fce.vutbr.cz/STM/vorechovsky.m/papers/6j.pdf},
issn = {0029-5981},
}

Miroslav Vořechovský. Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics. International Journal of Solids and Structures (Elsevier), 44(9):2715-2731, 2007. DOI: 10.1016/j.ijsolstr.2006.08.019. | pdf |

bib

@article{Vorech:IJSSDogBone:2007,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Interplay of size effects in concrete specimens under tension studied via computational stochastic fracture mechanics},
journal = {International Journal of Solids and Structures (Elsevier)},
year = {2007},
volume = {44},
number = {9},
pages = {2715--2731},
doi = {10.1016/j.ijsolstr.2006.08.019},
issn = {0020-7683},
pdf = {http://www.fce.vutbr.cz/STM/vorechovsky.m/papers/5j.pdf},
}

Zdeněk P. Bažant, Miroslav Vořechovský & Drahomír Novák. Asymptotic prediction of energetic-statistical size effect from deterministic finite element solutions. Journal of Engineering Mechanics (ASCE), 133(2):153-162, 2007. doi: 10.1061/(ASCE)0733-9399(2007)133:2(153). | pdf |

bib

@article{BazVorechNovak:SUPERIMPOSE:2007,
author = {Z.~P. Ba\v{z}ant and M. Vo{\v{r}}echovsk{\'{y}} and D. Nov\'{a}k},
title = {Asymptotic Prediction of Energetic-Statistical Size Effect from Deterministic Finite Element Solutions},
journal = {Journal of Engineering Mechanics (ASCE)},
year = {2007},
volume = {133},
number = {2},
pages = {153--162},
issn = {0733-9399},
doi = {10.1061/(ASCE)0733-9399(2007)133:2(153)},
pubsite = {http://scitation.aip.org/emo},
pdf = {http://www.civil.northwestern.edu/people/bazant/PDFs/Papers/465.pdf},
}

Miroslav Vořechovský. Interplay of sources of size effects in concrete specimens studied via computational stochastic fracture mechanics. Engineering mechanics, 13(5):385-401, 2006. |

bib

@article{Vorech:IMjournal:06,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Interplay of Sources of Size Effects in Concrete Specimens Studied via Computational Stochastic Fracture Mechanics},
journal = {Engineering mechanics},
year = {2006},
pages = {385--401},
volume = {13},
number = {5},
pubsite = {http://www.im.fme.vutbr.cz/},
issn = {1210-2717},
}

Miroslav Vořechovský & Rostislav Chudoba. Stochastic modeling of multi-filament yarns: II. Random properties over the length and size effect. International Journal of Solids and Structures (Elsevier), 43(3-4):435-458, doi: 10.1016/j.ijsolstr.2005.06.062, 2006. | pdf |

bib

@article{VorechChudoba:06,
author = {M. Vo{\v{r}}echovsk{\'{y}} and R. Chudoba},
title = {Stochastic modeling of multi-filament yarns: {II}. {R}andom properties over the length and size effect},
journal = {International Journal of Solids and Structures (Elsevier)},
year = {2006},
volume = {43},
number = {3-4},
pages = {435--458},
doi = {10.1016/j.ijsolstr.2005.06.062},
issn = {0020-7683},
pubsite = {http://www.elsevier.com/wps/find/journaldescription.cws_home/297/description#description},
pdf = {http://www.fce.vutbr.cz/STM/vorechovsky.m/papers/2j.pdf},
}

Rostislav Chudoba, Miroslav Vořechovský & Martin Konrad. Stochastic modeling of multi-filament yarns: {I}. {R}andom properties within the cross-section and size effect. International Journal of Solids and Structures (Elsevier), 43(3-4):413-434, doi: 10.1016/j.ijsolstr.2005.06.063, 2006. | pdf |

bib

@article{ChudobaVorechKonrad:06,
author = {R. Chudoba and M. Vo{\v{r}}echovsk{\'{y}} and M. Konrad},
title = {Stochastic modeling of multi-filament yarns {I}: {R}andom properties within the cross-section and size effect},
journal = {International Journal of Solids and Structures (Elsevier)},
year = {2006},
volume = {43},
number = {3-4},
pages = {413--434},
doi = {10.1016/j.ijsolstr.2005.06.063},
issn = {0020-7683},
pubsite = {http://www.elsevier.com/wps/find/journaldescription.cws_home/297/description#description},
pdf = {http://www.fce.vutbr.cz/STM/vorechovsky.m/papers/1j.pdf},
}

Theses

Miroslav Vořechovský. Reliability and Size Effect of Quasibrittle Composites. (Spolehlivost a vliv velikosti kvazikřehkých kompozitů). Thesis of a lecture for appointment as professor, 2012. ISBN: 978-80-214-4643-4, ISSN 1213-418X. Number 437 in "Vědecké spisy Vysokého učení technického v Brně;. Habilitační a inaugurační spisy." Brno University of Technology, Brno, Czech Republic. | pdf |

bib

@book{Vorech:Prof:12,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Reliability and Size Effect of Quasibrittle Composites},
year = {2012},
volume = {},
number = {437},
edition = {},
address = {Brno, Czech Republic},
series = {V\v{e}deck\'{e} spisy Vysok\'{e}ho u\v{c}en\'{i} technick\'{e}ho v Brn\v{e}. Habilita\v{c}n\'{i} a inaugura\v{c}n\'{i} spisy},
publisher="Brno: VUTIUM",
month = {},
abstract = {},
isbn = {978-80-214-4643-4},
isbn = {1213-418X},
note = {Thesis of a lecture for appointment as professor, presented at Brno University of Technology},
}

Miroslav Vořechovský. Stochastic computational mechanics of quasibrittle structures. Habilitation thesis, 2007. Number 235 in "Vědecké spisy Vysokého učení technického v Brně. Habilitační a inaugurační spisy." Brno University of Technology, Brno, Czech Republic.ISBN 978-80-214-3347-2. 389 pages. | pdf |

bib

@book{Vorech:Habil:07,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Stochastic computational mechanics of quasibrittle structures},
year = {2007},
pages="1--389",
volume = {},
number = {235},
edition = {},
address = {Brno, Czech Republic},
series = {V\v{e}deck\'{e} spisy Vysok\'{e}ho u\v{c}en\'{i} technick\'{e}ho v Brn\v{e}. Habilita\v{c}n\'{i} a inaugura\v{c}n\'{i} spisy},
publisher="Brno: VUTIUM",
month = {},
abstract = {},
isbn = {978-80-214-3347-2},
note = {Habilitation thesis, presented at Brno University of Technology},
}

Miroslav Vořechovský. Stochastic Fracture Mechanics and Size Effect. PhD dissertation, 2004. Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Brno, Czechia. | pdf | html |

bib

@phdthesis{Vorech:PhD:04,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {Stochastic fracture mechanics and size effect},
school = {Brno University of Technology},
address = {Brno, Czech Republic},
year = {2004},
url = {http://www.fce.vutbr.cz/STM/vorechovsky.m/dizertace/MiroslavVorechovskyDissertation.htm},
isbn = {80-214-2695-0},
}

Miroslav Vořechovský. K problematice výpočtu spolehlivosti u nelineárních úloh mechaniky kontinua (On reliability computations of nonlinear continuum mechanics problems). Master's thesis, Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Brno, Czech Republic, 2000. In Czech. | pdf |

bib

@mastersthesis{Vorech:diplomka:2000,
author = {M. Vo{\v{r}}echovsk{\'{y}}},
title = {K problematice v\'{y}po\v{c}tu spolehlivosti u neline\'{a}rn\'{i}ch \'{u}loh mechaniky kontinua ({O}n reliability computations of nonlinear continuum mechanics problems)},
school = {Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology},
address = {Brno, Czech Republic},
year = {2000},
note = {in Czech},
}

Projects

Current projects

2025 2031	Concrete matrices for high-cycle-fatigue resistant, eco-efficient infrastructure FATRESCON ERC-Synergy project FATRESCON. Principal Investigator (corresponding)
2024 2026	Knowledge Transfer for the Development of a Divided Support Element for Shading Techniques with Adaptive Joints. OP TAK PARTNERSHIP OF KNOWLEDGE TRANSFER, Call I. CZ.01.01.01/06/23_014/0001363 Applied research project in collaboration with Bematech company. Principal Investigator
2025 2027	Deciphering the role of fibroblast mechanical forces in epithelial morphogenesis. ERC CZ project (2012 - 2032) LL2323. Basic research project (biology) lead by Dr. Zuzana Sumbalová Koledová at the Institute of Molecular Genetics, Czech Academy of Sciences.
2023 2025	Coupled chemo-mechanical model of normal and cancer microenvironment. Czech Science Foundation GA23-04974S. Co-PI: Mgr. Zuzana Koledová, PhD. of Faculty of Medicine, Masaryk University. Principal Investigator
2022 2025	Energy dissipation-based approach to stochastic fatigue of concrete considering interacting time and temperature effects. Czech Science Foundation GF22-06684K. International project supporting collaboration with Rostislav Chudoba, RWTH Aachen, Germany. Principal Investigator
2024 2027	Physically constrained polynomial chaos expansion for stochastic mechanics. Ministry of Education, Youth and Sports of Czech Republic LUAUS24260. International project supporting collaboration with Michael D. Shields, Johns Hopkins University, Baltimore, USA.
2024 2026	Data-driven modelling of bone morphology and mineral density. Czech Science Foundation 24-10862S.
2024 2026	Machine Learning for Multiscale Modelling of Spatial Variability and Fracture for Sustainable Concrete Structures. Czech Science Foundation 24-10892S Principal investigator: Červenka consulting, LLC, co-investigators: Klokner Institute.

Concluded projects

2020 2023	Research and development of innovative technology for roller blinds - ZOOMTECH ®. (Výzkum a vývoj inovativní výrobní technologie stínící techniky) European project financed through the Ministry pf Industry and Trade of the Czech Republic (OP PIK - Aplikace CZ.01.1.02/0.0/0.0/20_321/0023730) EG20_321/0023730 A collaborative applied research project between Bematech company and Brno University of Technology (PI of the team), budget 17,398,458 CZK. Principal Investigator
2019 2021	Fatigue of structural concrete driven by cumulative measure of shear strain. Czech Science Foundation GC19-06684J. International project (with DFG) supporting collaboration with Rostislav Chudoba, RWTH Aachen, Germany. Principal Investigator
2020 2023	ERK signaling code of epithelial morphogenesis and cancer. Grant Agency of Masaryk University MUNI/G/1775/2020. PI: Mgr. Zuzana Koledová, PhD., Faculty of Medicine, Masaryk University. Group leader at VUT Brno
2019 2021	Deciphering the mechanisms of mammary epithelial branched pattern formation through iterative biological and mathematical modelling. Grant Agency of Masaryk University MUNI/G/1446/2018. PI: Mgr. Zuzana Koledová, PhD., Faculty of Medicine, Masaryk University. Group leader at VUT Brno
2020 2022	Development of theory and advanced algorithms for UNCertainty analyses in Engineering PROblems (UNCEPRO). Ministry of Education, Youth and Sports of Czech Republic LTAUSA19058. International project supporting collaboration with Michael D. Shields, Johns Hopkins University, Baltimore, USA. Principal Investigator
2019 2021	Fatigue of structural concrete driven by cumulative measure of shear strain. Czech Science Foundation GC19-06684J. International project (with DFG) supporting collaboration with Rostislav Chudoba, RWTH Aachen, Germany. Principal Investigator
2016 2018	Development of design and assessment methodology for planar and shell structures made of cementitious composites. Czech Science Foundation GC13-19416J. International project (with DFG) supporting collaboration with Rostislav Chudoba, RWTH Aachen, Germany. Principal Investigator
2016 2018	Development of advanced sampling methods for statistical analysis of structures. Czech Science Foundation GA16-22230S. poster. Principal Investigator
2014 2017	Interpretation and corelation of dynamic and cone penetration test for more effective design traffic structures. (Interpretace a korelace dynamické a statické penetrační zkoušky pro efektivnější navrhování dopravních staveb). Technology Agency of the Czech Republic (TAČR) TA04031092.
2012 2014	Stochastic Discrete Modeling of Fracture Processes in Heterogeneous Materials. Ministry of Education, Youth and Sports of Czech Republic LH12062. International project supporting collaboration with Jia-Liang Le, University of Minnesota, Minneapolis, MN, USA.
2019 2021	Coupled discrete meso-scale model for mechanics and transport phenomena in concrete. Czech Science Foundation GA19-12197S.
2010 2012	Development and implementation of a simulation framework for quasi-ductile composites combining short fibers and aligned continuous reinforcement. Czech Science Foundation P105/10/J028. International project (with DFG) supporting collaboration with Rostislav Chudoba, RWTH Aachen, Germany. Principal Investigator, "Excellent Project"
2008	Výukové videosekvence doplňující výklad nelineární lomové mechaniky. Ministry of Education, Youth and Sports of Czech Republic results.
2004 2009	Adaptive probabilistic modeling of localization, failure and size effect of quasi-brittle materials. Employed as research fellow at RWTH Aachen University. Sponsored by DFG, Germany DFG 5427935.
2010 2012	StruRel - Structural Reliability using Statistical Mechanics. Ministry of Education, Youth and Sports of Czech Republic ME10030. International project supporting collaboration with Zdeněk P. Bažant, Northwestern University, Evanston, USA.. Principal Investigator, "Excellent Project"
2009 2011	Development of numerical methods for analyses of stochastic computational mechanics problems. Czech Academy of Sciences KJB201720902. International project supporting collaboration with Zdeněk P. Bažant, Northwestern University, Evanston, USA. Principal Investigator, "Excellent Project"
2009 2012	Modern composite structures (Moderní kompozitní konstrukce). Four-year special "doctoral grant" sponsored by the Czech Science Foundation GD103/09/H085. Group leader
2006 2008	Probabilistic nonlinear finite element method with h-adaptivity. Czech Science Foundation GP103/06/P086. Principal Investigator, "Excellent Project"
2004 2007	Statistical aspects of structural size effect. Ministry of Education, Youth and Sports of Czech Republic (Clutch) 1K04110. International project supporting collaboration with Zdeněk P. Bažant, Northwestern University, Evanston, USA. Principal Investigator, "Excellent Project"
2004 2007	Damage mechanism of structural brittle matrix composites loaded with high temperatures (Mechanismus porušení stavebních kompozitních materiálů s křehkou matricí namáhaných vysokými teplotami). Ministry of Education, Youth and Sports of Czech Republic (Clutch) 1K04111.
2007	Experimental laboratory of the Institute of Structural Mechanics. (Experimentální laboratoř ústavu stavební mechaniky - investiční projekt). Capital project funded by the Czech Ministry of Education, Youth and Sports via FRVŠ (Fond rozvoje vysokých škol), FRVS 2164/2007/A/a. Purchase of Zwick/Roel Z 100 testing machine and sevral other apparatuses. Capital project - Principal Investigator
2020 2022	Uncertainty modelling in safety formats of concrete structures. Czech Science Foundation 20-01781S. Principal investigator: Červenka consulting, co-investigators: Klokner Institute.
2002 2004	Nonlinear Fracture Mechanics of Concrete with Utilization of Stochastic Finite Elements and Random Fields. Czech Science Foundation 103/02/1030.
2004 2007	Model identification and optimization at material and structural levels. Czech Science Foundation 103/04/2092.
2011 2013	Energetické a napjatostní aspekty kvazikřehkého lomu - důsledky pro určování lomově-mechanických parametrů silikátových kompozitů. Czech Science Foundation P105/11/1551. Joint project with Ústav fyziky materiálů AV ČR, v. v. i., Ústav teoretické a aplikované mechaniky AV ČR, v. v. i., České vysoké učení technické v Praze / Ústav technické a experimentální fyziky ČVUT
2004 2007	VITESPO - Virtual testing of structural safety and reliability. (Virtuální testování bezpečnosti a spolehlivosti konstrukcí). Grant agency of the Czech Academy of Sciences T409870411. Joint project with Červenka consulting.
2010 2012	Komplexní modelování betonových konstrukcí: Aspekty nelinearity, spolehlivosti, životnosti a rizika. Czech Science Foundation P105/10/1156.
2011 2014	Simulační softwarové nástroje virtuálního testování spolehlivosti a životnosti betonových konstrukcí. TA ČR TA01011019.
2006 2009	CIDEAS - Centre for Integrated Design of Advanced Structures (Centrum integrovaného navrhování progresivních stavebních konstrukcí). Research centre sponsired by the Ministry of Education, Sports and Youth of the Czech Republic 1M0579. "Excellent Project"
2005 2011	CIVAK (Centrum integrovaného navrhování progresivních stavebních konstrukcí). Research centre sponsired by the Ministry of Education, Sports and Youth of the Czech Republic 1M6840770001.
2007 2009	Soft computing in structural mechanics (SCOME). Czech Science Foundation 103/07/0760.
2000 2005	SARA: Structural Analysis and Reliability Assessments. We have developed methodology for safety assessment of concrete structures integrating nonlinear finite element analysis with stochastic and reliability technology into an advanced engineering tool. A series of international projects sponsored by Brenner Autobahn, Italy. In collaboration with Červenka consulting, BOKU Vienna (Austria), TU Vienna (Austria), and University Trento (Italy). More datails: The success story of SARA
2008 2011	Risk based Performance Prediction and Lifetime Assessment of Concrete Structures. A continuation of the above project SARA. Ministry of Education, Sports and Youth of the Czech Republic Eurostars RLACS 7D08004.
2003 2011	DFG "Collaborative Research Center" SFB 532: Textile-Reinforced Concrete - Development of a New Technology. RWTH Aachen University, Germany. Repeatedly employed as visiting professor.
2004	U.S. National Science Foundation (NSF) grant CMS-9713944. Granted to Prof. Z.P. Bažant, Northwestern University, USA. Used to support the extension of a Fulbright stay at Northwestern University.

Concluded Internal Grants at Brno University of Technology (Principal Investigator), suporting my doctoral students

2020	Fatigue behavior of structural concrete by microplane damage model. (with Gizem Erdinc) FAST-J-20-6285
2020	Development of spatial analysis methods for adaptive statistical sampling in reliability simulations. (with Aleksei Gerasimov) FAST-J-20-6287
2019	Development of theory for probabilistic space decomposition and adaptive sampling. (with Aleksei Gerasimov) FAST-J-19-6032
2018	Nízkovýkonové zařízení pro zabezpečený příjem dat z měření fyzikálních veličin v rámci platformy Průmysl 4.0. Collaboration with the Faculty of Electrical Engineering and Communication FAST/FEKT-J-18-5365
2018	Výzkum topologických vlastností diskrétních procesů a jejich využití pro optimalizaci statistického vzorkování. (with Jan Mašek) FAST-J-18-5254
2017	Rozvoj teorie a metodiky pro optimalizovaný návrh experimentu pomocí systému interagujících částic. (with Jan Mašek) FAST-J-17-4564
2017	Rozvoj metod Asymptotic sampling a Importance sampling a jejich spojení pro zpřesněný odhad pravděpodobnosti poruchy. (with Magdalena Martinásková) FAST-J-17-4594
2016	Využití zlepšené tvorby simulačního plánu v aproximačních metodách pro odhad pravděpodobnosti poruchy. (with Magdalena Martinásková) FAST-J-16-3194
2016	Optimalizace návrhu experimentu pomocí diskrétního dynamického systému interagujících částic. (with Jan Mašek) FAST-J-16-3486
2015	Vlastnosti Audze-Eglajs kritéria optimality návrhu numerických experimentů v úlohách výpočtové mechaniky. (with Magdalena Martinásková) FAST-J-15-2868
2014 2015	Mezní stav trvanlivosti kompozitů s křehkou matricí. (with Magdalena Martinásková and Rostislav Rypl) FAST-S-14-2443
2014 2015	Detekce trhlin v cementových kompozitech pomocí 3D digitální korelace obrazu. (with Magdalena Martinásková, Rostislav Rypl and Václav Sadílek) FAST-S-14-2485
2014	Rozvoj numerických metod pro statistické a citlivostní analýzy úloh výpočtové mechaniky. (with Magdalena Martinásková) FAST-J-14-2347
2013 2014	Aproximace rozdělení pevnosti konstrukčních systémů s paralelním uspořádáním křehkých Weibullovských prvků. (with Jana Kaděrová, Magdalena Martinásková, Rostislav Rypl and Václav Sadílek) FAST-S-13-1889
2013	Statistický vliv velikosti na pevnost v tahu za ohybu. (with Jana Kaděrová and Magdalena Martinásková) FAST-J-13-1922
2013	Zavedení experimentů pro identifikaci materiálových parametrů do předmětů stavební mechaniky. FRVS project, (with Jana Kaděrová and Martina Šomodíková) 828/2013/G1
2012	Řešené numerické příklady do předmětu Pružnost a pevnost. FRVS project, (with Jana Kaděrová and Martina Šomodíková) 1098/2012/G1
2012 2013	Víceúrovňový stochastický model poškozování moderních kompozitů s heterogenní výztuží. (with Jan Eliáš, Jana Kaděrová, Rostislav Rypl and Václav Sadílek) FAST-S-12-1804
2012	Charakterizace optimálních singulárních korelačních matic náhodných vektorů. (with Jana Kaděrová and Václav Sadílek) FAST-S-12-5
2012	Experimentální analýza svazků skleněných vláken. (with Jana Kaděrová and Václav Sadílek) FAST-J-12-21
2011	Predikce náhodné pevnosti konstrukcí z vláknobetonu a textilního betonu. (with Jan Eliáš, František Černík, Jana Kaděrová and Václav Sadílek) FAST-S-11-56
2011	Analýza spolehlivosti konstrukcí s kvazikřehkou matricí s využitím lomových testů a identifikace parametrů. FAST-S-10-37
2010	Řešené úlohy z oblasti spolehlivosti stavebních konstrukcí. Tutorial to solving reliability tasks in civil engineering structures. FRVS project, (with Václav Sadílek and Jiří Doležel) 2378/2010, Type G1 Tutorial in PDF format (in Czech). Source files in ZIP format.
2012	Řešené numerické příklady do předmětu Pružnost a pevnost. Tutorial to solving reliability tasks in civil engineering structures. FRVS project, (with Jana Kaděrová and Martina Šomodíková) 1089/2012, Type G1

Prospective students

This section is dedicated to students interested in pursuing study topics that I offer under my individual supervision or via a more flexible collaboration. Below, you will find a list of my former students, detailing their names, the years of their study, thesis titles, and links to their theses—all presented in Czech.

Vítám zájemce o spolupráci na výzkumných tématech. Spolupráce ideálně vyústí v závěrečnou práci studenta (např. bakalářka, diplomka nebo doktorská dizertační práce), ale může zkusmo začít i bez takového závazného cíle. Pokud váháš, zda jsi správný kandidát, pak si odpovídej na otázky:

jsem zvídavý/zvídavá a přemýšlivý/přemýšlivá?
jsem pracovitý a mám snahu být samostatný?
chci se učit nové věci?
mám kladný vztah k matematice a znám alespoň nějaké základy?
jsem ochoten číst české a později hlavně anglické texty?
chci se naučit programovat nebo dokonce už něco umím (není podmínkou)?

Zajímá mě některé z následujících témat?

pravděpodobnostní modely a výpočty únosnosti materiálů, konstrukčních dílců a celých konstrukcí
statistické základy pevnosti a tuhosti materiálu
rozvoj numerických metod pro pravděpodobnostní výpočty
tvorba bodových návrhů pro numerické integrování funkcí (i adaptivní návrhy) = DoE
modelování únavového porušení kvazikřehkých materiálů
studium a predikce statistické pevnosti kompozitů vyztužených krátkými vlákny nebo strukturovanou vláknitou výztuží
využití numerické matematiky a programování pro řešení inženýrských úloh
použití lineární a nelineární lomové mechaniky
studium a rozvoj diskrétních modelů pro heterogenní materiály
analýzy konstrukcí a konstrukčních prvků v komerčních MKP programech (Atena, Ansys, Abaqus)
provádění a vyhodnocování lomových experimentů betonu (práce s reálným materiálem)

Váháš, protože nerozumíš, ale máš pocit, že Tě to může zajímat? Ozvi se. Začít je možné v kterémkoliv ročníku studia. Složitost a časovou náročnost je možné přizpůsobit. V případě nezávazného hraní a komunikace se mnou a mými kolegy je výstupem zdokonalení v porozumění teoretické mechanice a matematice, případně články na domácích a zahraničních konferencích či v zahraničních časopisech. To často vyústí v rozhodnutí sepsat a obhájit diplomovou či bakalářskou práci a ponoření se do témat při zpracování dizertační práce. Spolupráci lze realizovat také současně s kolegy v rámci naší pracovní skupiny:

Zajímá Tě, na čem se mnou pracovali studenti před Tebou? Pak čti dál.

Obhájené bakalářské práce (Defended Bc theses)

Adam Sklenář (2024): Návrh optimálního tvaru zakřivené pružné výztuhy pro eliminaci průhybu navíjecí trubky rolety. (thesis classified)
Michal Kučera (2021): Stochastické diskrétní modelování porušování betonových konstrukcí. pdf
Jakub Tvrzník (2019): Využití metody kriging v inženýrských úlohách s neurčitostmi. pdf
Jiří Lomič (2015): Probabilistic model for textile concrete reinforcement and comparison with experiments
(Pravděpodobnostní model pevnosti výztuže pro textilní beton a jeho porovnání s experimenty). pdf
Jana Kaděrová (2009): Testování statistického vlivu velikosti pomocí čtyřbodového ohybu (Experiments on statistical size effect in four point bent specimens),
awarded by the Rector's prize and, also by the honourable mention of the Dean of Faculty of Civil Engineering. pdf
František Černík (2009): Modelování statistického vlivu velikosti na únosnost trámce namáhaného čtyřbodovým ohybem. pdf

Obhájené diplomové práce (Defended MSc theses)

Michal Kučera (2023): Stochastické diskrétní modelování rozvoje porušení v betonových konstrukcích
(Stochastic discrete modeling of progressive damage in concrete structures)
awarded by the Hlavka's prize and, also by Rector's Prize. pdf
Aleksei Gerasimov (2019): Pokročilé simulační metody pro spolehlivostní analýzu konstrukcí
(Advanced simulation methods for reliability analysis of structures) pdf
Jiří Lomič (2016): Shear strength of textile reinforced concrete members. pdf
Magdalena Šmídová (Martinásková) (2014): Porovnání účinnosti návrhů experimentů pro statistickou analýzu úloh s náhodnými vstupy. pdf
Helena Jurado López (2014): Modeling of Size Effects in Concrete Specimens via Computational Stochastic Fracture Mechanics.
defended at University of Alicante (UA) - Prof. Salvador Ivorra Chorro, Ph.D. pdf
Jana Kaděrová (2012): Multi-filament yarns testing for textile-reinforced concrete. pdf
František Černík (2011): Ověření výkonnosti metody HSLHS pro odhad statistik funkcí náhodných vektorů v úlohách mechaniky. pdf
László Fekete (2008): K modelování energetického vlivu velikosti na únosnost konstrukcí pomocí metody konečných prvků
(On modeling energetic size effect on structural strength using finite element method). pdf
Václav Sadílek (2008): Modelování Modelováí statisticko-energetického vlivu velikosti betonových konstrukcí pomocí výpočtové mechaniky
(Modeling statistical-energetic size effect in concrete structures using computational mechanics).
in Czech, awarded by Dean's honorable mention, also by Czech Concrete Society award (Cena České betonářské společnosti), and Signum Prosperitatis medal pdf
Jan Eliáš (2006): Chování křehkých vláken v kompozitech s křehkou a kvazikřehkou matricí;
(Brittle fiber behavior in composites with brittle or quasibrittle matrix).
awarded by the Hlavka's prize and, also by honourable mention of the Dean of Faculty of Civil Engineering and the 1^st place by the Czech association of the authorized engineers (section of structures and infracturure engineering). pdf

Obhájené doktorské dizertační práce (Defended PhD theses)

Jan Mašek (2018): A dynamical particle system as a driver for optimal statistical sampling
(Dynamický částicový systém jako účinný nástroj pro statistické vzorkování) pdf
Rostislav Rypl (2015): Tensile strength of fibrous yarns and composites
(Tahová pevnost vláknitých svazků a kompozitů) pdf
Rostislav Rypl (2014): A probabilistic approach to the mechanics of unidirectional composites with heterogeneous reinforcement
summa cum laude -- defended at the Institute of Structural Concrete, RWTH Aachen University (supervised together with Professor Dr.-Ing. Josef Hegger and Dr. Rostislav Chudoba) pdf
Václav Sadílek (2012): Statistické aspekty moderních kompozitních materiálů.
(Statistical aspects of modern composite materials). pdf
Jan Eliáš (2009): Discrete Simulation of Fracture Processes of Disordered Materials
(Diskrétní simulace lomových procesů v materiálech s nepravidelnou vnitřní strukturou). pdf

Teaching (výuka)

Short educational videorecordings for courses of nonlinear fracture mechanics

Výukové videosekvence pro doplnění výkladu nelineární lomové mechaniky
Autoři/Authors: Jan Eliáš, Jaromír Láník & Miroslav Vořechovský

VideoFiles to download:
description (pdf, in Czech)
Plain Concrete (wmv)
Plain concrete, small specimen (wmv)
Fiber reinforced concrete, large specimen (wmv)
Fiber reinforced concrete, malý trámec (wmv)
Plain concrete, size effect (wmv)
Fiber reinforced concrete, size effect (wmv)
All videos (zip archive)
Poděkování/Acknowledgement: Tento výsledek byl získán za finanční podpory Fondu Rozvoje Vysokých Škol, projekt č. 801/2008 - Výukové videosekvence doplňující výklad nelineární lomové mechaniky. Autoři dále děkují doc. Ing. Jaroslavu Smutnému, Ph.D. za pomoc při pořizování videozáznamů a doc. Ing. Luboši Pazderovi, CSc.

Tutorial to reliability of civil engineering structures

Autoři/Authors: Václav Sadílek, Miroslav Vořechovský a Jiří Doležel

Electronic tutorial "Řešené úlohy z oblasti spolehlivosti stavebních konstrukcí", supported by FRVŠ project no. 2378/2010/G1. Download: Tutorial in PDF format (in Czech), source files in ZIP format.

Applied research & consulting

Předchozí aplikační projekty

Miroslav Vořechovský contributed to the Golden Award winning technology that solved the long-standing problem of roller blind deflection. The outcome is the ZoomTech technology, a part of which is a new ZoomBox machine, see a short reel for the award jury. This achievement was done withing the framework of an applied research project: Research and development of innovative technology for roller blinds - ZOOMTECH ®.
EG20_321/0023730
A collaborative applied research project between Bematech company and Brno University of Technology (PI of the team), budget 17,398,458 CZK.
See interview (in Czech) with the director of Bematech company; see also a press release about new innovations at Brno University of Technology. I have developed a new bending machine for shaping reinforcing bars: ZoomBox. Examples of application of the developed technology by Soprofen company, [promo video] Umbra, Swansea, GB. The developed technology used by Umbra as is also explained in You Tube video: Evolve® Zero.
I am the developer behind the computational core of the software FReET (Feasible Reliability Engineering Tool), a versatile commercial probabilistic software designed for statistical, sensitivity, and reliability analyses of engineering problems. FReET incorporates numerous proprietary methods (see my papers above) and is developed in C++ language.
RC-Lifetime is a free web application for modelling the concrete carbonation that provides the estimation of the initiation period, i.e. the time to reinforcement depassivation due to carbonation. Hence the Durability Limit State may be assessed by utilizing a probabilistic approach.
SARA: Structural Analysis and Reliability Assessments.
A series of international projects sponsired by Brenner Autobahn, Italy.
Development of methodology for safety assessment of concrete structures integrating nonlinear finite element analysis with stochastic and reliability technology into an advanced engineering tool.
In collaboration with Červenka consulting, BOKU Vienna (Austria), TU Vienna (Austria), and University Trento (Italy).
More datails: The success story of SARA
I contributed to the development of a database of geological testing locations in the Czech Republic, used by several gheotechnical companies. The database was developed within an applied research project titled: Interpretation and corelation of dynamic and cone penetration test for more effective design traffic structures.
(Interpretace a korelace dynamické a statické penetrační zkoušky pro efektivnější navrhování dopravních staveb).
Sponsored by the Technology Agency of the Czech Republic (TAČR) TA04031092.

Consulting (spolupráce s partnery z praxe)

I offer consulting services by providing quantitative computational and software solutions to challenges where it's critical to accurately estimate and/or minimize uncertainty. This enables my clients to assess their confidence levels and make informed decisions to effectively mitigate risk. Specializing in uncertainty quantification (UQ), machine learning (ML), and probabilistic computational modeling, my services deliver innovative and practical solutions to understand the influence of uncertainty on engineering systems, as well as on both physics-based and data-driven models. In partnership with my clients, I develop customized software solutions tailored to a wide array of problems.

Some of th e specific services I provide include Risk and Reliability Analysis, Global Sensitivity Analysis, Efficient ML-based Surrogate Modeling, and Probabilistic Modeling and Uncertainty Estimation. Each service is designed to equip my clients with the necessary tools and insights to navigate the complexities of uncertainty in their projects.

I offer experience in the fields of computational mechanics, optimization, and the development of engineering software for practical applications, as well as for tasks that straddle the line between research and practice.

I have established and maintain a laboratory equipped with the electromechanical testing machine Zwick/Roell Z100, along with a non-contact optical measurement system for deformation mapping using Digital Image Correlation (DIC) ARAMIS by GOM. This dual-camera system allows for precise tracking of the displacement field on the surface of test specimens in 3D. Consequently, I offer specialized mechanical testing services, which can be complemented by advanced modeling, such as nonlinear finite element method (FEM) analysis. These services are suitable for a wide range of materials, including metals, plastics, and cement-based composites.
Založil jsem a spravuji laboratoř, která je vybavena elektromechanickým zkušebním strojem Zwick/Roell Z100 a systémem bezdotykového optického měření deformace pomocí digitální korelace obrazu (DIC) ARAMIS od společnosti GOM. Tento dvoukamerový systém umožňuje přesné sledování pole posunutí povrchu zkušebních těles ve 3D. Díky tomu nabízím specializované mechanické testování, které může být doplněno o pokročilé modelování, například pomocí nelineární metody konečných prvků. Služby jsou vhodné pro širokou škálu materiálů, včetně kovů, plastů a cementových kompozitů.

My former work as a part-time structural engineer include

Cooperation with Ing. Klusáček, Ph.D.:

Riding-hall in Letovice (historical building): calculations of prestressing and losses of prestressing in dependence on temperature. Vyskov tower

Annex building to historical tower in Vyškov- calculations of internal forces caused by prestressing of adjacent tower.

JAPE-PROJEKT, s.r.o. (ing. Jan Perla) — selected projects:

Static design, technical drawing of roofing of IKEA Bratislava, Slovak Republic výrobní dokumentace zastřešení, prefabrikované a monolitické betonové prvky. 3-D model of the Janacek National Theatre in Brno: FEM caclulations of statics, stability and geometrical nonlinear response (retrofitting of slender front columns against buckling). Gym Lytomysl

Detailed 3-D FE-modeling of trusses carrying the gym roof in Litomyšl, Masarykova street. Computation of internal forces in steel and timber beams and columns. Gym Lytomysl

Identifikační číslo (IČ) 21235481

	Institute of Structural Mechanics Faculty of Civil Engineering Brno University of Technology
	Veveří 331/95, 602 00 Brno, Czechia
	miroslav.vorechovsky@vut.cz
	+420 5 4114 7370
	Fulbright Honorary Ambassador at Brno University of Technology