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  List of publications

ISI journal articles

password (heslo in Czech) that allows you to download articles is jan

• Jan Eliáš, Josef Martinásek, Jia-Liang Le. Application of J-Integral to a Random Elastic Medium. Journal of Applied Mechanics - ASME 92(3), article 031006, 2025, ISSN: 0021-8936, doi: 10.1115/1.4067597, pdf, arXiv
  bib

  @article{EliMarLe25,
  author = {Jan Eli\'{a}\v{s} and Josef Martin\'{a}sek and Jia-Liang Le},
  title = {Application of J-Integral to a Random Elastic Medium},
  journal = {Journal of Applied Mechanics - ASME},
  volume = {92},
  number = {3},
  pages = {031006},
  year = {2025},
  doi = {10.1115/1.4067597},
  issn = {0021-8936}
  }
• Jan Eliáš, Gianluca Cusatis. Macroscopic stress, couple stress and flux tensors derived through energetic equivalence from microscopic continuous and discrete heterogeneous finite representative volumes. Computer Methods in Applied Mechanics and Engineering 436, article 117688, 2025, ISSN: 0045-7825, doi: 10.1016/j.cma.2024.117688, pdf, arXiv
  bib

  @article{EliCus25,
  author = {Jan Eli\'{a}\v{s} and Gianluca Cusatis},
  title = {Macroscopic stress, couple stress and flux tensors derived through energetic equivalence from microscopic continuous and discrete heterogeneous finite representative volumes},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {436},
  pages = {117688},
  year = {2025},
  doi = {10.1016/j.cma.2024.117688},
  issn = {0045-7825}
  }
• Quiwei Zhang, Jan Eliáš, Kohei Nagai & John E. Bolander. Discrete Modeling of Elastic Heterogeneous Media. Mechanics Research Communications 137, article 104277, 2024, ISSN: 0093-6413, doi: 10.1016/j.mechrescom.2024.104277, pdf
  bib

  @article{ZhaEli-24,
  author = {Quiwei Zhang and Jan Eli\'{a}\v{s} and Kohei Nagai and John E. Bolander},
  title = {Discrete Modeling of Elastic Heterogeneous Media},
  journal = {Mechanics Research Communications},
  volume = {137},
  pages = {104277},
  year = {2024},
  doi = {10.1016/j.mechrescom.2024.104277},
  issn = {0093-6413}
  }
• Jan Eliáš & Jia-Liang Le. Size effect on strength statistics of prenotched quasibrittle structures. Journal of Engineering Mechanics - ASCE 150(6), article 04024025, 2024, ISSN: 0733-9399, doi: 10.1061/jenmdt.emeng-7629, pdf
  bib

  @article{EliLe24,
  author = {Jan Eli\'{a}\v{s} and Jia-Liang Le},
  title = {Size effect on strength statistics of prenotched quasibrittle structures},
  journal = {Journal of Engineering Mechanics - ASCE},
  volume = {150},
  number = {6},
  pages = {04024025},
  year = {2024},
  doi = {10.1061/jenmdt.emeng-7629},
  issn = {0733-9399}
  }
• Jan Mašek, Josef Květoň & Jan Eliáš. Adaptive discretization refinement for discrete models of coupled mechanics and mass transport in concrete. Construction and Building Materials 395, article 132243, 2023, ISSN: 0950-0618, doi: 10.1016/j.conbuildmat.2023.132243, pdf, arXiv
  bib

  @article{MasKve-23,
  author = {Jan Ma\v{s}ek and Josef Kv\v{e}to\v{n} and Jan Eli\'{a}\v{s}},
  title = {Adaptive discretization refinement for discrete models of coupled mechanics and mass transport in concrete},
  journal = {Construction and Building Materials},
  year = {2023},
  volume = {395},
  pages = {132243},
  doi = {10.1016/j.conbuildmat.2023.132243},
  issn = {0950-0618}
  }
• Jan Eliáš & Gianluca Cusatis. Homogenization of discrete mesoscale model of concrete for coupled mass transport and mechanics by asymptotic expansion. Journal of the Mechanics and Physics of Solids 167, article 105010, 2022, ISSN: 0022-5096, doi: 10.1016/j.jmps.2022.105010, pdf, arXiv
  bib

  @article{EliCus22,
  author = {Jan Eli\'{a}\v{s} and Gianluca Cusatis},
  title = {Homogenization of discrete mesoscale model of concrete for coupled mass transport and mechanics by asymptotic expansion},
  journal = {Journal of the Mechanics and Physics of Solids},
  year = {2022},
  volume = {167},
  pages = {105010},
  doi = {10.1016/j.jmps.2022.105010},
  issn = {0022-5096}
  }
• Jan Eliáš, Hao Yin & Gianluca Cusatis. Homogenization of discrete diffusion models by asymptotic expansion. International Journal for Numerical and Analytical Methods in Geomechanics 46(16), pages 3052--3073, 2022, ISSN: 0363-9061, doi: 10.1002/nag.3441, pdf, arXiv
  bib

  @article{EliYin-22,
  author = {Jan Eli\'{a}\v{s} and Hao Yin and Gianluca Cusatis},
  title = {Homogenization of discrete diffusion models by asymptotic expansion},
  journal = {International Journal for Numerical and Analytical Methods in Geomechanics},
  year = {2022},
  volume = {46},
  number = {16},
  pages = {3052-3073},
  doi = {10.1002/nag.3441},
  issn = {0363-9061}
  }
• Anna Gorgogianni, Jan Eliáš & Jia-Liang Le. Mesh Objective Stochastic Simulations of Quasibrittle Fracture. Journal of the Mechanics and Physics of Solids 159, article 104745, 2022, ISSN: 0022-5096, doi: 10.1016/j.jmps.2021.104745, pdf
  bib

  @article{GorEli-22,
  author = {Anna Gorgogianni and Jan Eli\'{a}\v{s} and Jia-Liang Le},
  title = {Mesh Objective Stochastic Simulations of Quasibrittle Fracture},
  journal = {Journal of the Mechanics and Physics of Solids},
  year = {2022},
  volume = {159},
  pages = {104745},
  doi = {10.1016/j.jmps.2021.104745},
  issn = {0022-5096}
  }
• John E. Bolander, Jan Eliáš, Gianluca Cusatis & Kohei Nagai. Discrete mechanical models of concrete fracture. Engineering Fracture Mechanics 257, article 108030, 2021, ISSN: 0013-7944, doi: 10.1016/j.engfracmech.2021.108030, pdf (open access)
  bib

  @article{BolEli-21,
  author = {John E. Bolander and Jan Eli\'{a}\v{s} and Gianluca Cusatis and Kohei Nagai},
  title = {Discrete mechanical models of concrete fracture},
  journal = {Engineering Fracture Mechanics},
  year = {2021},
  volume = {257},
  pages = {108030},
  doi = {10.1016/j.engfracmech.2021.108030},
  issn = {0013-7944}
  }
• Jan Eliáš, Miroslav Vořechovský & Václav Sadílek. Periodic version of the minimax distance criterion for Monte Carlo integration. Advances in Engineering Software 149, article 102900, 2020, ISSN: 0965-9978, doi: 10.1016/j.advengsoft.2020.102900, pdf
  bib

  @article{EliVor-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 Monte Carlo integration},
  journal = {Advances in Engineering Software},
  year = {2020},
  volume = {149},
  pages = {102900},
  doi = {10.1016/j.advengsoft.2020.102900},
  issn = {0965-9978}
  }
• Jan Eliáš & Miroslav Vořechovský. Fracture in random quasibrittle media: I. Discrete mesoscale simulations of load capacity and fracture process zone. Engineering Fracture Mechanics 235, article 107160, 2020, ISSN: 0013-7944, doi: 10.1016/j.engfracmech.2020.107160, pdf, arXiv
  bib

  @article{EliVor20,
  author = {Jan Eli\'{a}\v{s} and Miroslav Vo\v{r}echovsk\'{y}},
  title = {Fracture in random quasibrittle media: {I}. {D}iscrete mesoscale simulations of load capacity and fracture process zone},
  journal = {Engineering Fracture Mechanics},
  year = {2020},
  volume = {235},
  pages = {107160},
  doi = {10.1016/j.engfracmech.2020.107160},
  issn = {0013-7944}
  }
• Miroslav Vořechovský & Jan Eliáš. Fracture in random quasibrittle media: II. Analytical model based on extremes of the averaging process. Engineering Fracture Mechanics 235, article 107155, 2020, ISSN: 0013-7944, doi: 10.1016/j.engfracmech.2020.107155, pdf
  bib

  @article{VorEli20b,
  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 the averaging process},
  journal = {Engineering Fracture Mechanics},
  year = {2020},
  volume = {235},
  pages = {107155},
  doi = {10.1016/j.engfracmech.2020.107155},
  issn = {0013-7944}
  }
• Anna Gorgogianni, Jan Eliáš & Jia-Liang Le. Mechanism-based energy regularization in computational modeling of quasibrittle fracture. Journal of Applied Mechanics - ASME 87(9), article 091003, 2020, ISSN: 0021-8936, doi: 10.1115/1.4047207, pdf
  bib

  @article{GorEli-20,
  author = {Anna Gorgogianni and Jan Eli\'{a}\v{s} and Jia-Liang Le},
  title = {Mechanism-based energy regularization in computational modeling of quasibrittle fracture},
  journal = {Journal of Applied Mechanics - ASME},
  year = {2020},
  volume = {87},
  number = {9},
  pages = {091003},
  doi = {10.1115/1.4047207},
  issn = {0021-8936}
  }
• Jan Eliáš. Elastic properties of isotropic discrete systems: Connections between geometric structure and Poisson's ratio. International Journal of Solids and Structures 191-192, pages 254-263, 2020, ISSN: 0020-7683, doi: 10.1016/j.ijsolstr.2019.12.012, pdf, arXiv
  bib

  @article{Eli20,
  author = {Jan Eli\'{a}\v{s}},
  title = {Elastic properties of isotropic discrete systems: Connections between geometric structure and Poisson’s ratio},
  journal = {International Journal of Solids and Structures},
  year = {2020},
  volume = {191-192},
  pages = {254--263},
  doi = {10.1016/j.ijsolstr.2019.12.012},
  issn = {0020-7683}
  }
• Miroslav Vořechovský & Jan Eliáš. Modification of the Maximin and φ_p (phi) criteria to achieve statistically uniform distribution of sampling points. Technometrics 62(3), pages 371-386, 2020, ISSN: 0040-1706, doi: 10.1080/00401706.2019.1639550, pdf
  bib

  @article{VorEli20,
  author = {Miroslav 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},
  year = {2020},
  volume = {62},
  number = {3},
  pages = {371--386},
  doi = {10.1080/00401706.2019.1639550},
  issn = {0040-1706}
  }
• Miroslav Vořechovský, Jan Mašek & Jan Eliáš. Distance-based optimal sampling in a hypercube: Analogies to N-body systems. Advances in Engineering Software 137, article 102709, 2019, ISSN: 0965-9978, doi: 10.1016/j.advengsoft.2019.102709, pdf
  bib

  @article{VorMas-20,
  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},
  year = {2019},
  volume = {137},
  pages = {102709},
  doi = {10.1016/j.advengsoft.2019.102709},
  issn = {0965-9978}
  }
• Jia-Liang Le, Jan Eliáš, Anna Gorgogianni, Joshua Vievering & Josef Květoň. Rate-dependent scaling of dynamic tensile strength of quasibrittle structures. Journal of Applied Mechanics - ASME 85(2), article 021003, 2018, ISSN: 0021-8936, doi: 10.1115/1.4038496, pdf
  bib

  @article{LeEli-18,
  author = {Jia-Liang Le and Jan Eli\'{a}\v{s} and Anna Gorgogianni and Joshua Vievering and Josef Kv\v{e}to\v{n}},
  title = {Rate-Dependent Scaling of Dynamic Tensile Strength of Quasibrittle Structures},
  journal = {Journal of Applied Mechanics - ASME},
  year = {2018},
  volume = {85},
  number = {2},
  pages = {021003},
  doi = {10.1115/1.4038496},
  issn = {0021-8936}
  }
• Jia-Liang Le, Zhifeng Xu & Jan Eliáš. Internal length scale of weakest-link statistical model for quasibrittle fracture. Journal of Engineering Mechanics - ASCE 144(4), article 04018017, 2018, ISSN: 0733-9399, doi: 10.1061/(ASCE)EM.1943-7889.0001430, pdf
  bib

  @article{LeXu-18,
  author = {Jia-Liang Le and Zhifeng Xu and Jan Eli\'{a}\v{s}},
  title = {Internal Length Scale of Weakest-Link Statistical Model for Quasibrittle Fracture},
  journal = {Journal of Engineering Mechanics - ASCE},
  volume = {144},
  number = {4},
  pages = {04018017},
  year = {2018},
  doi = {10.1061/(ASCE)EM.1943-7889.0001430},
  issn = {0733-9399}
  }
• Jan Eliáš. Boundary layer effect on behavior of discrete models. Materials 10, article 157, 2017, ISSN: 1996-1944, doi: 10.3390/ma10020157, pdf
  bib

  @article{Eli17,
  author = {Jan Eli\'{a}\v{s}},
  title = {Boundary Layer Effect on Behavior of Discrete Models},
  journal = {Materials},
  year = {2017},
  volume = {10},
  pages = {157},
  doi = {10.3390/ma10020157},
  issn = {1996-1944}
  }
• Jan Eliáš. Adaptive technique for discrete models of fracture. International Journal of Solids and Structures 100–101, pages 376–387, 2016, ISSN: 0020-7683, doi: 10.1016/j.ijsolstr.2016.09.008, pdf
  bib

  @article{Eli16,
  author = {Jan Eli\'{a}\v{s}},
  title = {Adaptive technique for discrete models of fracture},
  journal = {International Journal of Solids and Structures},
  year = {2016},
  volume = {100--101},
  pages = {376--387},
  doi = {10.1016/j.ijsolstr.2016.09.008},
  issn = {0020-7683}
  }
• Jan Eliáš & Miroslav Vořechovský. Modification of the Audze-Eglajs criterion to achieve a uniform distribution of sampling points. Advances in Engineering Software 100, pages 82-96, 2016, ISSN: 0965-9978, doi: 10.1016/j.advengsoft.2016.07.004, pdf
  bib

  @article{EliVor16,
  author = {Jan Eli\'{a}\v{s} and Miroslav Vo\v{r}echovsk\'{y}},
  title = {Modification of the Audze–Eglajs criterion to achieve a uniform distribution of sampling points},
  journal = {Advances in Engineering Software},
  year = {2016},
  volume = {100},
  pages = {82--96},
  doi = {10.1016/j.advengsoft.2016.07.004},
  issn = {0965-9978}
  }
• Jia-Liang Le & Jan Eliáš. A probabilistic crack band model for quasibrittle fracture. Journal of Applied Mechanics - ASME, 83(5), article 051005, 2016, ISSN: 0021-8936, doi: 10.1115/1.4032692, pdf
  bib

  @article{Eli16,
  author = {Jia-Liang Le and Jan Eli\'{a}\v{s}},
  title = {A probabilistic crack band model for quasibrittle fracture},
  journal = {Journal of Applied Mechanics - ASME},
  year = {2016},
  volume = {83},
  number = {5},
  pages = {051005},
  doi = {10.1115/1.4032692},
  issn = {0021-8936}
  }
• Jan Eliáš. Generalization of load-unload and force-release sequentially linear methods. International Journal of Damage Mechanics 24(2), pages 279-293, 2015, ISSN: 1056-7895, doi: 10.1177/1056789514531001, pdf
  bib

  @article{Eli14,
  author = {Jan Eli\'{a}\v{s}},
  title = {Generalization of load-unload and force-release sequentially linear methods},
  journal = {International Journal of Damage Mechanics},
  year = {2015},
  volume = {24},
  number = {2},
  pages = {279--293},
  doi = {10.1177/1056789514531001},
  issn = {1056-7895}
  }
• Jan Eliáš, Miroslav Vořechovský, Jan Skoček & Zdeněk P. Bažant. Stochastic discrete meso-scale simulations of concrete fracture: comparison to experimental data. Engineering Fracture Mechanics 135, pages 1-16, 2015, ISSN: 0013-7944, doi: 10.1016/j.engfracmech.2015.01.004, pdf
  bib

  @article{EliVor-15,
  author = {Jan Eli\'{a}\v{s} and Miroslav Vo\v{r}echovsk\'{y} and Jan Sko\v{c}ek and Zden\v{e}k P. Ba\v{z}ant},
  title = {Stochastic discrete meso-scale simulations of concrete fracture: comparison to experimental data},
  journal = {Engineering Fracture Mechanics},
  year = {2015},
  volume = {135},
  pages = {1--16},
  doi = {10.1016/j.engfracmech.2015.01.004},
  issn = {0013-7944}
  }
• Jan Eliáš. Simulation of railway ballast using crushable polyhedral particles. Powder Technology 246, pages 458-465, 2014, ISSN: 0032-5910, doi: 10.1016/j.powtec.2014.05.052, pdf
  bib

  @article{Eli14,
  title = {Simulation of railway ballast using crushable polyhedral particles},
  journal = {Powder Technology},
  volume = {264},
  number = {0},
  pages = {458--465},
  year = {2014},
  issn = {0032-5910},
  doi = {10.1016/j.powtec.2014.05.052},
  author = {Jan Eli\'{a}\v{s}},
  }
• Vladimír Houšť, Jan Eliáš & Lumír Miča. Shape optimization of concrete buried arches. Engineering Structures 48, pages 716-726, 2013, ISSN: 0141-0296, doi: 10.1016/j.engstruct.2012.11.037, pdf
  bib

  @article{HouEli-13,
  author = {Vladim\'{i}r Hou\v{s}\v{t} and Jan Eli\'{a}\v{s} and Lum\'{i}r Mi\v{c}a},
  title = {Shape optimization of concrete buried arches},
  journal = {Engineering Structures},
  year = {2013},
  volume = {48},
  pages = {716--726},
  doi = {10.1016/j.engstruct.2012.11.037},
  issn = {0141-0296}
  }
• Jan Eliáš & Jia-Liang Le. Modeling of mode-I fatigue crack growth in quasibrittle structures under cyclic compression. Engineering Fracture Mechanics 96, pages 26-36, 2012, ISSN 0013-7944, doi: 10.1016/j.engfracmech.2012.06.019, pdf
  bib

  @article{EliLe12,
  author = {Jan Eli\'{a}\v{s} and Jia-Liang Le},
  title = {Modeling of mode-I fatigue crack growth in quasibrittle structures under cyclic compression},
  journal = {Engineering Fracture Mechanics},
  year = {2012},
  volume = {96},
  pages = {26--36},
  doi = {10.1016/j.engfracmech.2012.06.019},
  issn = {0013-7944}
  }
• Jia-Liang Le, Jan Eliáš & Zdeněk P. Bažant. Computation of probability distribution of strength of quasibrittle structures failing at macro-crack initiation. Journal of Engineering Mechanics - ASCE 138(7), pages 888-899, 2012, ISSN: 0733-9399, doi: 10.1061/(ASCE)EM.1943-7889.0000396, pdf
  bib

  @article{LeEli-12,
  author = {Jia-Liang Le and Jan Eli\'{a}\v{s} and Zden\v{e}k P. Ba\v{z}ant},
  title = {Computation of Probability Distribution of Strength of Quasibrittle Structures Failing at Macro-Crack Initiation},
  journal = {Journal of Engineering Mechanics - ASCE},
  year = {2012},
  volume = {138},
  number = {7},
  pages = {888--899},
  doi = {10.1061/(ASCE)EM.1943-7889.0000396},
  issn = {0733-9399}
  }
• Jan Eliáš & Henrik Stang. Lattice modeling of aggregate interlocking in concrete. International Journal of Fracture 175, pages 1-11, 2012, ISSN: 0376-9429, doi: 10.1007/s10704-012-9677-3, pdf
  bib

  @article{EliSta12,
  author = {Jan Eli\'{a}\v{s} and Henrik Stang},
  title = {Lattice Modeling of Aggregate Interlocking in Concrete},
  journal = {International Journal of Fracture},
  year = {2012},
  volume = {175},
  pages = {1--11},
  doi = {10.1007/s10704-012-9677-3},
  issn = {0376-9429}
  }
• Jan Eliáš, Petr Frantík & Miroslav Vořechovský. Improved sequentially linear solution procedure. Engineering Fracture Mechanics 77 (12), pages 2263-2276, 2010, ISSN 0013-7944, doi: 10.1016/j.engfracmech.2010.05.018, pdf
  bib

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

Theses

• Jan Eliáš, Homogenization of discrete mesoscale model of concrete applied to coupled mechanics and mass transport. Thesis of a lecture for appointment as professor, Vědecké spisy Vysokého učení technického v Brně, Edice Habilitační a Inaugurační spisy, sv. 724, ISSN 1213-418X, ISBN 978-80-214-6061-4, 2022 pdf
• Jan Eliáš, Discrete Approach to Modeling of Heterogeneous Materials. Habilitation thesis, Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Brno, Czechia, May 2017 pdf
• Jan Eliáš, Discrete Simulation of Fracture Processes in Disordered Materials. PhD dissertation, Institute of Structural Mechanics, Faculty of Civil Engineering, Brno University of Technology, Brno, Czechia, May 2009 pdf

  Projects

Current projects

• 2024-2026 Smart modeling of inelastic behavior in heterogeneous materials, Czech Science Foundation GA24-11845S, principal investigator
• 2024-2027 Physically constrained polynomial chaos expansion for stochastic mechanics, Ministry of Education, Youth and Sports of Czech Republic LUAUS24260
• 2022-2025 Energy dissipation-based approach to stochastic fatigue of concrete considering interacting time and temperature effects, Czech Science Foundation GF22-06684K
• 2023-2025 Coupled chemo-mechanical model of normal and cancer microenvironment, Czech Science Foundation GA23-04974S
• 2025-2028 Innovative methods of materials diagnostics and monitoring of engineering infrastructure to increase its durability and service time (INODIN), Operační program Jan Amos Komenský, co-financed by European Union, CZ.02.01.01/00/23_020/0008487

Concluded projects

• 2024 New methods in theoretical and computational structural mechanics, Internal project of Brno University of Technology FAST-S-24-8503, principal investigator
• 2022 Centre for Advanced Materials and Efficient Buildings, Technology Agency of the Czech Republic TN01000056
• 2019-2021 Coupled discrete meso-scale model for mechanics and transport phenomena in concrete, Czech Science Foundation GA19-12197S, principal investigator
• 2019-2021 Fatigue of structural concrete driven by cumulative measure of shear strain, Czech Science Foundation GC19-06684J
• 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
• 2016-2018 Development of advanced sampling methods for statistical analysis of structures, Czech Science Foundation GA16-22230S
• 2015-2017 Discrete fracture models: adaptive remeshing, energy release rate, and stress along boundaries, Czech Science Foundation GJ15-19865Y, principal investigator
• 2014-2015 Zohlednění rychlosti zatěžování v sekvenčně lineárních řešičích, Vysoké učení technické v Brně, Fakulta Stavební, principal investigator
• 2012-2014 Stochastic Discrete Modeling of Fracture Processes in Heterogeneous Materials, Ministry of Education, Youth and Sports of Czech Republic LH12062, principal investigator
• 2011-2013 Modeling of granular geomaterials by discrete element method, Czech Science Foundation GPP105/11/P055, principal investigator
• 2008 Výukové videosekvence doplňující výklad nelineární­ lomové mechaniky, Ministry of Education, Youth and Sports of Czech Republic results, principal investigator

  Prospective students (pro zájemce o studium mechaniky)

Nabízená témata pro bakalářské a diplomové práce

• Optimalizace dráhy předpínacích kabelů pdf
• Využitı́ strojového učenı́ (deep learning) při simulaci materiálů pdf
• Poissonovo číslo v diskrétních systémech - horní odhad podle Reusse a dolní odhad podle Voigta
• základy elastodynamiky, slabá formulace a spektrální rozklad pdf
• redukce modelů pomocí Proper Ortogonal Decomposition - projekce problému do nízkodimenzionálního podprostoru
• nahrazení standardního MKP řešiče přístupy ze statistické fyziky - Velký kanonický soubor (Grand Canonical Ensemble) pdf
• periodické okrajové podmínky - výhody, implementace a aplikace pdf
• další témata je možné otevřít podle zájmu studentů a po vzájemné domluvě

Topics for Ph.D. students

• polygonal/polyhedral finite element method
• strain localization in homogenized models
• spatial randomness in homogenized models
• concrete fracture under high strain rate
• coupled multi-physical processes in concrete
• other topics can be opened on student request, after discussion and mutual agreement

Obhájené studentské práce

Středoškolská odborná činnost

• Jakub Koňárek. Počátečnı́ úloha v elastodynamice a metody jejı́ho řešenı́ v jednom rozměru, 2022. pdf (1. místo v krajském a 4. místo v celostátním kole SOČ v sekci Fyzika)
• Jakub Koňárek. Variačnı́ řešenı́ okrajové úlohy v elasto-statice, 2020. pdf (2. místo v krajském a 8. místo v celostátním kole SOČ v sekci Fyzika)

Bakalářská práce

• Annamária Ondášová. Použití Lagrangeových multiplikátorů v lineární elastostatice, 2022. pdf
• Monika Středulová. Optimization of prestressed concrete tendon path, 2018. pdf
• Martin Ladecký. Integrace mikrostrukturálních vysoce oscilujících bázových funkcí, 2016. pdf (práci ve skutečnosti vedl Jan Novák z ČVUT)
• Kateřina Bónová. Analýza šíření trhliny pomocí J-integrálu, 2016. pdf
• Josef Květoň. Porovnání omezovačů lokalizace, 2013. pdf
• Radek Dubina. Nelineární analýza únosnosti železobetonové základové patky, 2012. pdf

Diplomová práce

• Martin Ryšavý. Dynamická analýza elastických konstrukcí, 2025. pdf
• Jan Raisinger. Machine learning applied to simulations of material mechanical behavior, 2024. pdf (práce získala cenu Josefa Hlávky udělovanou Nadáním Josefa, Marie a Zdeňky Hlávkových)
• Beáta Fleischerová. Mikropolární kontinuum a jeho aplikace ve stavební mechanice, 2022. pdf
• Monika Středulová. Hellinger-Reissner variational principle in elastostatics, 2021. pdf (obhájeno na University of Porto, Lisabon, práci oficiálně vedl prof. de Sá)
• Kateřina Bónová. Výpočet dráhy trhliny podle lineární lomové mechaniky, 2017. pdf
• Josef Květoň. Simulace porušení betonu pomocí nelokálniho modelu, 2015. pdf
• Radek Dubina. Diskrétní modelování štěrku pro železniční svršek, 2014. pdf

Disertační práce

• Josef Květoň. Static and dynamic analysis of plain and fiber-reinforced concrete using discrete meso-scale model, 2020. pdf
• Jana Kaděrová.Probabilistic discrete model of concrete fracturing, 2018. pdf

  Výuka

Základy stavební mechaniky

zadání a řešení zkoušky: 2018/I 2018/II 2018/III 2019/I 2019/II 2019/III 2020/I 2020/II 2020/III 2020/IV 2022/I 2022/II 2022/III 2023/I 2023/II 2023/III 2024/I 2024/II 2024/III

Metoda konečných prvků

podklady ke cvičením (verze 2, únor 2018) pdf

Spolehlivost

návodné příklady: pdf
prezentace (pdf): 01 02 03 04 05 06 07 08 09
presentations (pdf): 01 02 03 04 05 06 07 08 09 10 11 12

Kurz LaTeXu

Na začátku letního semestru (polovina února) jsme organizovali s kolegou Václavem Sadílkem krátký kurz LaTeXu. Jedná se o profesionální sázecí systém, pomocí něhož je možno vytvářet dokumenty (diplomky, disertace, články nebo cokoliv dalšího) ve vysoké typografické kvalitě. V roce 2020 byl kurz nahrazen webinářem, pro který jsme s Václavem Sadílkem a Josefem Květoněm přichystali následující podklady: zip. Další informace lze nalézt na stránkách kurzu.

  Spolupráce s partnery z praxe

Nabízím dlouholeté zkušenosti z oblasti výpočtové mechaniky, optimalizace a vývoje inženýrského softwaru pro praktické aplikace, případně pro úlohy na pomezí výzkumu a praxe. Ačkoliv se převážně věnuji výzkumné činnosti, bude mi ctí spolupracovat na řešení praktických problémů, se kterými se potýká Vaše firma.

Předchozí aplikační projekty

• Vývoj databáze pro automatizované posuzování kotevních bodů na jaderné elektrárně Mochovce - návrh a implementace databázového systému pro editaci a ukládání historie záznamů kotevních bodů. Systém umožňuje automatický návrh kotevního bodu a jeho posouzení podle evropské normy. Samozřejmostí je současný aktivní přístup mnoha uživatelů.
• Tvorba řešiče pro výpočet tepelného chování energo-pilot - kompletní vývoj softwaru pro nestacionární analýzu ukládání a odběr tepla pomocí tepelně aktivovaných základových pilot.
• Optimalizace tvaru tenkostěnné betonové přesýpané konstrukce a optimalizace trasy předpínacích kabelů.

Identifikační číslo (IČ) 08534942