Prof. RNDr. Martin Kružík, Ph.D. DSc.

vedoucí oddělení, vedoucí vědecký pracovník

Martin Kružík
kruzik@utia.cas.cz 266052395 Osobní web
Oddělení: Oddělení matematické teorie rozhodování
Vědecké zájmy: variační počet, matematické metody v mechanice kontinua

Životopis

Seznam publikací

Martin Kružík je profesorem matematického modelování v Ústavu teorie informace a automatizace Akademie věd České republiky a na Českém vysokém učení technickém v Praze. Jeho výzkumné zájmy sahají od variačního počtu a aplikované matematické analýzy až po matematické problémy kontinuální fyziky.

 

Ph.D. students

  • Ing. Karolína Sehnalová, FEL ČVUT, since 10/2024: Polynomial optimization for calculus of variations (co-supervisor)

Knihy a kapitoly

  1. Roubíček Tomáš, Kružík Martin, Zeman Jan, Panagiotopoulos CH. G., Vodička R., Mantič V.: Delamination and Adhesive Contacts, Their Mathematical Modeling and Numerical Treatment, Mathematical Methods and Models in Composites, p. 497-578 Stáhnout DOI: 10.1142/9781800611887_0011 [2023]
  2. Horák M., Kružík Martin, Pelech P., Schlömerkemper A.: Gradient Polyconvexity and Modeling of Shape Memory Alloys, Variational Views in Mechanics, p. 133-156 Stáhnout DOI: 10.1007/978-3-030-90051-9_5 [2021]
  3. Kružík Martin, Roubíček Tomáš: Mathematical Methods in Continuum Mechanics of Solids, Springer Nature (Cham, 2019) Stáhnout DOI: 10.1007/978-3-030-02065-1 [2019]
  4. Kalamajska A., Krömer Stefan, Kružík Martin: Weak Lower Semicontinuity by Means of Anisotropic Parametrized Measures, Trends in Applications of Mathematics to Mechanics, p. 23-51, Eds: Rocca E., Stefanelli U., Truskinovsky L., Visintin A. Stáhnout DOI: 10.1007/978-3-319-75940-1_2 [2018]
  5. Roubíček Tomáš, Kružík Martin, Zeman J.: Delamination and Adhesive Contact Models and their Mathematical Analysis and Numerical Treatment, Computational and Experimental Methods in Structures, p. 349-400 Stáhnout DOI: 10.1142/9781848167858_0009 [2013]
  6. Roubíček Tomáš, Kružík Martin, Zeman J.: Delamination and adhesive contact models and their mathematical analysis and numerical treatment, Computational and Experimental Methods in Structures, p. 349-400 Stáhnout DOI: 10.1142/9781848167858_0009 [2013]
  7. Kočvara Michal, Kružík Martin, Outrata Jiří: On the control of an evolutionary equilibrium in micromagnetics, Optimalization with Multivalued Mappings: Theory, Applications and Aldorithms, p. 143-168, Eds: Dempe S., Kalashinikov V. [2006]

Články v časopisech

  1. Kružík Martin, Riva F.: The Effects of Pressure Loads in the Dimension Reduction of Elasticity Models, Journal of Nonlinear Science 36 Stáhnout Stáhnout DOI: 10.1007/s00332-026-10254-y [2026]
  2. Henrion D., Kružík Martin: Polyconvex double well functions, Calculus of Variations and Partial Differential Equations 65 Stáhnout Stáhnout DOI: 10.1007/s00526-026-03262-z [2026]
  3. Grande Raffaele, Krömer Stefan, Kružík Martin, Giuseppe T.: Homogenization of Magnetoelastic Materials with Rigid Magnetic Inclusions at Small Strains., Journal of Nonlinear Science 36 Stáhnout Stáhnout DOI: 10.1007/s00332-025-10219-7 [2026]
  4. Bevan J. J., Kružík Martin, Valdman Jan: New applications of Hadamard-in-the-mean inequalities to incompressible variational problems, Calculus of Variations and Partial Differential Equations 64 Stáhnout Stáhnout DOI: 10.1007/s00526-025-03119-x [2025]
  5. Badal R., Friedrich M., Kružík Martin, Machill L.: Positive temperature in nonlinear thermoviscoelasticity and the derivation of linearized models, Journal de Mathematiques Pures et Appliquees 201 Stáhnout Stáhnout DOI: 10.1016/j.matpur.2025.103751 [2025]
  6. Horák Martin, Šmejkal M., Kružík Martin: Surface-polyconvex models for soft elastic solids, Journal of the Mechanics and Physics of Solids 204 Stáhnout Stáhnout DOI: 10.1016/j.jmps.2025.106250 [2025]
  7. Sehnalova K., Henrion D., Korda M., Kružík Martin: Solving Unbounded Optimal Control Problems With the Moment-SOS Hierarchy, IEEE Control Systems Letters 9 1 (2025), p. 288-293 Stáhnout Stáhnout DOI: 10.1109/LCSYS.2025.3572074 [2025]
  8. Kružík Martin, Mainini E.: Linearization of Finite Elasticity with Surface Tension, Journal of Nonlinear Science 35 Stáhnout Stáhnout DOI: 10.1007/s00332-025-10156-5 [2025]
  9. Benešová B., Campbell D., Hencl S., Kružík Martin: Non-interpenetration of rods derived by Γ-limits, Mathematical Models and Methods in Applied Sciences 35 1 (2025), p. 1-38 Stáhnout Stáhnout DOI: 10.1142/S0218202525500010 [2025]
  10. Chiesa A., Kružík Martin, Stefanelli U.: Finite-strain Poynting-Thomson model: Existence and linearization, Mathematics and Mechanics of Solids 30 4 (2025), p. 979-1013 Stáhnout Stáhnout DOI: 10.1177/10812865241263788 [2025]
  11. Engl D., Krömer Stefan, Kružík Martin: Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity, Advances in Calculus of Variations 17 4 (2024), p. 1323-1340 Stáhnout Stáhnout DOI: 10.1515/acv-2023-0009 [2024]
  12. Krömer Stefan, Kružík Martin, Morandotti M., Zappale E.: Measure-Valued Structured Deformations, Journal of Nonlinear Science 34 Stáhnout Stáhnout DOI: 10.1007/s00332-024-10076-w [2024]
  13. Akramov I., Knuepfer H., Kružík Martin, Rueland A.: Minimal energy for geometrically nonlinear elastic inclusions in two dimensions, Proceedings of the Royal Society of Edinburgh. A - Mathematics 154 3 (2024), p. 769-792 Stáhnout Stáhnout DOI: 10.1017/prm.2023.36 [2024]
  14. Henrion D., Korda M., Kružík Martin, Rios-Zertuche R.: Occupation Measure Relaxations in Variational Problems: The Role of Convexity, SIAM Journal on Optimization 34 2 (2024), p. 1708-1731 Stáhnout Stáhnout DOI: 10.1137/23M1557088 [2024]
  15. Bevan J., Kružík Martin, Valdman Jan: Hadamard’s inequality in the mean, Nonlinear Analysis: Theory, Methods & Applications 243 Stáhnout Stáhnout DOI: 10.1016/j.na.2024.113523 [2024]
  16. Davoli E., Kružík Martin, Pagliari V.: Homogenization of high-contrast composites under differential constraints, Advances in Calculus of Variations 17 2 (2024), p. 277-318 Stáhnout Stáhnout DOI: 10.1515/acv-2022-0009 [2024]
  17. Bresciani M., Kružík Martin: A reduced model for plates arising as low-energy gamma-limit in nonlinear magnetoelasticity, SIAM Journal on Mathematical Analysis 55 4 (2023), p. 3108-3168 Stáhnout Stáhnout DOI: 10.1137/21M1446836 [2023]
  18. Tyburec Marek, Kočvara Michal, Kružík Martin: Global weight optimization of frame structures with polynomial programming, Structural and Multidisciplinary Optimization 66 Stáhnout Stáhnout DOI: 10.1007/s00158-023-03715-5 [2023]
  19. Brazda K., Kružík Martin, Rupp F., Stefanelli U.: Curvature-dependent Eulerian interfaces in elastic solids, Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 381 Stáhnout Stáhnout DOI: 10.1098/rsta.2022.0366 [2023]
  20. Bresciani M., Kružík Martin: A Reduced Model for Plates Arising as Low-Energy Gamma-Limit in Nonlinear Magnetoelasticity, SIAM Journal on Mathematical Analysis 55 4 (2023), p. 3108-3168 Stáhnout Stáhnout DOI: 10.1137/21M1446836 [2023]
  21. Bresciani M., Davoli E., Kružík Martin: Existence results in large-strain magnetoelasticity, Annales de l'Institut Henri Poincaré. Analyse non Linéaire 40 3 (2023), p. 557-592 Stáhnout Stáhnout DOI: 10.4171/AIHPC/51 [2023]
  22. Krömer Stefan, Kružík Martin, Zappale E.: Relaxation of functionals with linear growth: Interactions of emerging measures and free discontinuities, Advances in Calculus of Variations 16 4 (2023), p. 835-865 Stáhnout Stáhnout DOI: 10.1515/acv-2021-0063 [2023]
  23. Badal R., Friedrich M., Kružík Martin: Nonlinear and Linearized Models in Thermoviscoelasticity, Archive for Rational Mechanics and Analysis 247 Stáhnout Stáhnout DOI: 10.1007/s00205-022-01834-9 [2023]
  24. Horák M., Gil A. J., Ortigosa R., Kružík Martin: A polyconvex transversely-isotropic invariant-based formulation for electro-mechanics: Stability, minimisers and computational implementation, Computer Methods in Applied Mechanics and Engineering 403 Stáhnout Stáhnout DOI: 10.1016/j.cma.2022.115695 [2023]
  25. Dondl P., Jesenko M., Kružík Martin, Valdman Jan: Linearization and computation for large-strain visco-elasticity, Mathematics in Engineering 5 2 (2023), p. 1-15 Stáhnout Stáhnout DOI: 10.3934/mine.2023030 [2023]
  26. Drozdenko D., Knapek M., Kružík Martin, Máthis K., Švadlenka K., Valdman Jan: Elastoplastic Deformations of Layered Structures, Milan Journal of Mathematics 90 2 (2022), p. 691-706 Stáhnout Stáhnout DOI: 10.1007/s00032-022-00368-9 [2022]
  27. Ciambella J., Kružík Martin, Tomassetti G.: A theory of magneto-elastic nanorods obtained through rigorous dimension reduction, Applied Mathematical Modelling 106 1 (2022), p. 426-447 Stáhnout Stáhnout DOI: 10.1016/j.apm.2022.01.028 [2022]
  28. Kružík Martin, Mariano P. M., Mucci D.: Crack Occurrence in Bodies with Gradient Polyconvex Energies, Journal of Nonlinear Science 32 Stáhnout Stáhnout DOI: 10.1007/s00332-021-09769-3 [2022]
  29. Davoli E., Kružík Martin, Pelech P.: Separately global solutions to rate-independent processes in large-strain inelasticity, Nonlinear Analysis: Theory, Methods & Applications 215 Stáhnout Stáhnout DOI: 10.1016/j.na.2021.112668 [2022]
  30. Friedrich M., Kružík Martin, Stefanelli U.: Equilibrium of immersed hyperelastic solids, Discrete and Continuous Dynamical systems - Series S 14 11 (2021), p. 4141-4157 Stáhnout Stáhnout DOI: 10.3934/dcdss.2021003 [2021]
  31. Kružík Martin, Zeman J.: Elastoplasticity of gradient-polyconvex materials, Zeitschrift für angewandte Mathematik und Physik 72 Stáhnout Stáhnout DOI: 10.1007/s00033-021-01603-w [2021]
  32. Davoli E., Kružík Martin, Piovano P., Stefanelli U.: Magnetoelastic thin films at large strains, Continuum Mechanics and Thermodynamics 33 1 (2021), p. 327-341 Stáhnout Stáhnout DOI: 10.1007/s00161-020-00904-1 [2021]
  33. Frost Miroslav, Benešová Barbora, Seiner Hanuš, Kružík Martin, Sedlák Petr, Šittner Petr: Thermomechanical model for NiTi-based shape memory alloys covering macroscopic localization of martensitic transformation, International Journal of Solids and Structures 221 1 (2021), p. 117-129 Stáhnout Stáhnout DOI: 10.1016/j.ijsolstr.2020.08.012 [2021]
  34. Friedrich M., Kružík Martin, Valdman Jan: Numerical approximation of von Kármán viscoelastic plates, Discrete and Continuous Dynamical systems - Series S 14 1 (2021), p. 299-319 Stáhnout Stáhnout DOI: 10.3934/dcdss.2020322 [2021]
  35. Grandi D., Kružík Martin, Mainini E., Stefanelli U.: Equilibrium for Multiphase Solids with Eulerian Interfaces, Journal of Elasticity 142 1 (2020), p. 409-431 Stáhnout Stáhnout DOI: 10.1007/s10659-020-09800-w [2020]
  36. Kružík Martin, Melching D., Stefanelli U.: Quasistatic evolution for dislocation-free finite plasticity, ESAIM-Control Optimisation and Calculus of Variations 26 Stáhnout Stáhnout DOI: 10.1051/cocv/2020031 [2020]
  37. Friedrich M., Kružík Martin: Derivation of von Kármán Plate Theory in the Framework of Three-Dimensional Viscoelasticity, Archive for Rational Mechanics and Analysis 238 1 (2020), p. 489-540 Stáhnout Stáhnout DOI: 10.1007/s00205-020-01547-x [2020]
  38. Horák M., Kružík Martin: Gradient polyconvex material models and their numerical treatment, International Journal of Solids and Structures 195 1 (2020), p. 57-65 Stáhnout Stáhnout DOI: 10.1016/j.ijsolstr.2020.03.006 [2020]
  39. Kružík Martin, Pelech P., Schloemerkemper A.: Gradient Polyconvexity in Evolutionary Models of Shape-Memory Alloys, Journal of Optimization Theory and Applications 184 1 (2020), p. 5-20 Stáhnout Stáhnout DOI: 10.1007/s10957-019-01489-9 [2020]
  40. Frost Miroslav, Kružík Martin, Valdman Jan: Interfacial polyconvex energy-enhanced evolutionary model for shape memory alloys, Mathematics and Mechanics of Solids 24 8 (2019), p. 2619-2635 Stáhnout DOI: 10.1177/1081286519841103 [2019]
  41. Grandi D., Kružík Martin, Mainini E., Stefanelli U.: A Phase-Field Approach to Eulerian Interfacial Energies, Archive for Rational Mechanics and Analysis 234 1 (2019), p. 351-373 Stáhnout Stáhnout DOI: 10.1007/s00205-019-01391-8 [2019]
  42. Henrion D., Kružík Martin, Weisser T.: Optimal control problems with oscillations, concentrations and discontinuities, Automatica 103 1 (2019), p. 159-165 Stáhnout Stáhnout DOI: 10.1016/j.automatica.2019.01.030 [2019]
  43. Kratochvíl J., Kružík Martin: A Model of Microstructure Evolution in Metals Exposed to Large Strains, Acta Physica Polonica A 134 3 (2018), p. 753-756 Stáhnout Stáhnout DOI: 10.12693/APhysPolA.134.753 [2018]
  44. Benešová B., Kružík Martin, Schlömerkemper A.: A note on locking materials and gradient polyconvexity, Mathematical Models and Methods in Applied Sciences 28 12 (2018), p. 2367-2401 Stáhnout DOI: 10.1142/S0218202518500513 [2018]
  45. Kružík Martin, Mora-Corral C., Stefanelli U.: Quasistatic elastoplasticity via Peridynamics: existence and localization, Continuum Mechanics and Thermodynamics 30 5 (2018), p. 1155-1184 Stáhnout DOI: 10.1007/s00161-018-0671-5 [2018]
  46. Friedrich M., Kružík Martin: On the passage from nonlinear to linearized viscoelasticity, SIAM Journal on Mathematical Analysis 50 4 (2018), p. 4426-4456 Stáhnout DOI: 10.1137/17M1131428 [2018]
  47. Baia M., Krömer Stefan, Kružík Martin: Generalized W1-1-Young Measures and Relaxation of Problems with Linear Growth, SIAM Journal on Mathematical Analysis 50 1 (2018), p. 1076-1119 Stáhnout DOI: 10.1137/16M1103464 [2018]
  48. Anguige K., Dondl P., Kružík Martin: On the existence of minimisers for strain-gradient single-crystal plasticity, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 98 3 (2018), p. 431-447 Stáhnout DOI: 10.1002/zamm.201700032 [2018]
  49. Kružík Martin, Valdman Jan: Computational modeling of magnetic hysteresis with thermal effects, Mathematics and Computers in Simulation 145 1 (2018), p. 90-105 Stáhnout DOI: 10.1016/j.matcom.2017.03.004 [2018]
  50. Benešová B., Kružík Martin: Weak Lower Semicontinuity of Integral Functionals and Applications, SIAM Review 59 4 (2017), p. 703-766 Stáhnout DOI: 10.1137/16M1060947 [2017]
  51. Heinz S., Kružík Martin: Computations of Quasiconvex Hulls of Isotropic Sets, Journal of Convex Analysis 24 2 (2017), p. 477-492 Stáhnout [2017]
  52. Krämer J., Krömer S., Kružík Martin, Pathó G.: A-quasiconvexity at the boundary and weak lower semicontinuity of integral functionals, Advances in Calculus of Variations 10 1 (2017), p. 49-67 Stáhnout DOI: 10.1515/acv-2015-0009 [2017]
  53. Claeys M., Henrion D., Kružík Martin: Semi-definite relaxations for optimal control problems with oscillation and concentration effects, ESAIM-Control Optimisation and Calculus of Variations 23 1 (2017), p. 95-117 Stáhnout DOI: 10.1051/cocv/2015041 [2017]
  54. Knüpfer H., Kružík Martin: A sharp interface evolutionary model for shape memory alloys, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 96 11 (2016), p. 1347-1355 Stáhnout DOI: 10.1002/zamm.201500209 [2016]
  55. Kratochvíl J., Kružík Martin: Statistically motivated model of mechanisms controlling evolution of deformation band substructure, International Journal of Plasticity 81 1 (2016), p. 196-208 Stáhnout DOI: 10.1016/j.ijplas.2016.01.016 [2016]
  56. Benešová B., Kružík Martin: Characterization of gradient young measures generated by homeomorphisms in the plane, ESAIM-Control Optimisation and Calculus of Variations 22 1 (2016), p. 267-288 Stáhnout DOI: 10.1051/cocv/2015003 [2016]
  57. Kratochvíl J., Kružík Martin: A crystal plasticity model of a formation of a deformation band structure, Philosophical Magazine 95 32 (2015), p. 3621-3639 Stáhnout DOI: 10.1080/14786435.2015.1090638 [2015]
  58. Benešová B., Kroemer S., Kružík Martin: Boundary effects and weak* lower semicontinuity for signed integral functionals on BV, ESAIM-Control Optimisation and Calculus of Variations 21 2 (2015), p. 513-534 Stáhnout DOI: 10.1051/cocv/2014036 [2015]
  59. Kružík Martin, Stefanelli U., Zanini Ch.: Quasistatic evolution of magnetoelastic plates via dimension reduction, Discrete and Continuous Dynamical Systems 35 12 (2015), p. 5999-6013 Stáhnout DOI: 10.3934/dcds.2015.35.5999 [2015]
  60. Kružík Martin, Stefanelli U., Zeman J.: Existence Results for Incompressible Magnetoelasticity, Discrete and Continuous Dynamical Systems 35 6 (2015), p. 2615-2623 Stáhnout DOI: 10.3934/dcds.2015.35.2615 [2015]
  61. Kružík Martin, Panagiotopoulos Ch., Roubíček Tomáš: Quasistatic adhesive contact delaminating in mixed mode and its numerical treatment, Mathematics and Mechanics of Solids 20 5 (2015), p. 582-599 Stáhnout DOI: 10.1177/1081286513507942 [2015]
  62. Benešová B., Kružík Martin, Pathó G.: A mesoscopic thermomechanically coupled model for thin-film shape-memory alloys by dimension reduction and scale transition, Continuum Mechanics and Thermodynamics 26 5 (2014), p. 683-713 Stáhnout DOI: 10.1007/s00161-013-0323-8 [2014]
  63. Kalamajska A., Kraemer S., Kružík Martin: Sequential weak continuity of null Lagrangians at the boundary, Calculus of Variations and Partial Differential Equations 49, p. 1263-1278 Stáhnout DOI: 10.1007/s00526-013-0621-9 [2014]
  64. Benešová Barbora, Kružík Martin, Pathó G.: Young measures supported on invertible matrices, Applicable Analysis 93 1 (2014), p. 105-123 Stáhnout DOI: 10.1080/00036811.2012.760039 [2014]
  65. Kroemer S., Kružík Martin: Oscillations and Concentrations in Sequences of Gradients up to the Boundary, Journal of Convex Analysis 20 3 (2013), p. 723-752 Stáhnout [2013]
  66. Kružík Martin: Quasiconvexity at the boundary and concentration effects generated by gradients, ESAIM-Control Optimisation and Calculus of Variations 19 3 (2013), p. 679-700 Stáhnout DOI: 10.1051/cocv/2012028 [2013]
  67. DeSimone A., Kružík Martin: Domain patterns and hysteresis in phase-transforming solids: analysis and numerical simulations of a sharp interface dissipative model via phase-field approximation, Networks and Heterogeneous Media 8 2 (2013), p. 481-499 Stáhnout DOI: 10.3934/nhm.2013.8.481 [2013]
  68. Anderssen R., Kružík Martin: Modelling of Wheat-Flour Dough Mixing as an Open-Loop Hysteretic Process, Discrete and Continuous Dynamical Systems-Series B 18 2 (2013), p. 283-293 Stáhnout DOI: 10.3934/dcdsb.2013.18.283 [2013]
  69. Benešová Barbora, Kružík Martin, Roubíček Tomáš: Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition, Zeitschrift für angewandte Mathematik und Physik 64, p. 1-28 Stáhnout DOI: 10.1007/s00033-012-0236-6 [2013]
  70. Bessoud A. L., Kružík Martin, Stefanelli U.: A macroscopic model for magnetic shape-memory single crystals, Zeitschrift für angewandte Mathematik und Physik 64 2 (2013), p. 343-359 Stáhnout DOI: 10.1007/s00033-012-0223-y [2013]
  71. Seidman T., Gobbert M., Trott D., Kružík Martin: Finite element approximation for time-dependent diffusion with measure-valued source, Numerische Mathematik 122 4 (2012), p. 709-723 Stáhnout DOI: 10.1007/s00211-012-0474-8 [2012]
  72. Kružík Martin, Zimmer J.: On an extension of the space of bounded deformations, Zeitschrift für Analysis und Ihre Anwendungen 31 1 (2012), p. 75-91 Stáhnout DOI: 10.4171/ZAA/1449 [2012]
  73. Kružík Martin, Zimmer J.: Rate-Independent Processes with Linear Growth Energies and Time-Dependent Boundary Conditions, Discrete and Continuous Dynamical systems - Series S 5 3 (2012), p. 591-604 Stáhnout DOI: 10.3934/dcdss.2012.5.591 [2012]
  74. Bartels S., Kružík Martin: An efficient approach to the numerical solution of rate-independent problems with nonconvex energies, Multiscale Modeling and Simulation 9 3 (2011), p. 1275-1300 Stáhnout DOI: 10.1137/110821718 [2011]
  75. Kružík Martin, Zimmer J.: A model of shape memory alloys taking into account plasticity, IMA Journal of Applied Mathematics 76 1 (2011), p. 193-216 DOI: 10.1093/imamat/hxq058 [2011]
  76. Kratochvíl J., Kružík Martin, Sedláček R.: Instability origin of subgrain formation in plastically deformed materials, International Journal of Engineering Science 48 11 (2010), p. 1401-1412 DOI: 10.1016/j.ijengsci.2010.09.017 [2010]
  77. Kratochvíl J., Kružík Martin, Sedláček R.: Model of Structural Fragmentation Induced by High Pressure Torsion, Reviews on Advanced Materials Science 25 1 (2010), p. 88-98 Stáhnout [2010]
  78. Kružík Martin, Pathó G.: Variational model of martensitic thin films and its numerical treatment, Technische Mechanik 30, p. 203-210 Stáhnout [2010]
  79. Kratochvíl J., Kružík Martin, Sedláček R.: Crystal plasticity model of shear and kink bands-energetic approach, Philosophical Magazine 90 27 (2010), p. 3729-3742 Stáhnout DOI: 10.1080/14786430903449411 [2010]
  80. Kratochvíl J., Kružík Martin, Sedláček R.: Energetic approach to gradient plasticity, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 90 2 (2010), p. 122-135 Stáhnout DOI: 10.1002/zamm.200900227 [2010]
  81. Fonseca I., Kružík Martin: Oscillations and concentrations generated by A-free mappings and weak lower semicontinuity of integral functionals, ESAIM-Control Optimisation and Calculus of Variations 2 (2010), p. 472-502 Stáhnout DOI: 10.1051/cocv/2009006 [2010]
  82. Kružík Martin, Zimmer J.: Evolutionary problems in non-reflexive spaces, ESAIM-Control Optimisation and Calculus of Variations 16 1 (2010), p. 1-22 Stáhnout DOI: 10.1051/cocv:2008060 [2010]
  83. Kružík Martin, Roubíček Tomáš: Matematické a počítačové modelování aktivních materiálů, Vesmír 88 1 (2009), p. 21-23 Stáhnout [2009]
  84. Kratochvíl J., Kružík Martin, Sedláček R.: Energetic formulation of nonlocal crystal plasticity, International Journal of Materials Research 100 3 (2009), p. 340-341 Stáhnout DOI: 10.3139/146.110026 [2009]
  85. Kratochvíl J., Kružík Martin, Sedláček R.: A model of ultrafine microstructure evolution in materials deformed by high-pressure torsion, Acta Materialia 57 3 (2009), p. 739-748 Stáhnout DOI: 10.1016/j.actamat.2008.10.016 [2009]
  86. Koutný Jan, Kružík Martin, Kurdila A., Roubíček Tomáš: Identification of Preisach-type hysteresis operators, Numerical Functional Analysis and Optimization 29 1 (2008), p. 149-160 [2008]
  87. Kalamajska A., Kružík Martin: Oscillations and concentrations in sequences of gradients, ESAIM-Control Optimisation and Calculus of Variations 14 1 (2008), p. 71-104 [2008]
  88. Sedláček R., Kratochvíl J., Kružík Martin, Krempaszky Ch.: Variational approach to formation of misoriented microstructures in plastic deformation, Proceedings in Applied Mathematics and Mechanics 7 1 (2007), p. 4080005-4080006 Stáhnout DOI: 10.1002/pamm.200700242 [2007]
  89. Kružík Martin: On convergence of gradient-dependent integrands, Applications of Mathematics 52 6 (2007), p. 529-543 [2007]
  90. Roubíček Tomáš, Kružík Martin, Koutný Jan: A mesoscopical model of shape-memory alloys, Proceedings of the Estonian Academy of Sciences - Physics Mathematics 56 2 (2007), p. 146-154 [2007]
  91. Kratochvíl J., Kružík Martin, Sedláček R.: Statistically based continuum model of dislocation cell structure formation, Physical Review B 75 2 (2007), p. 1-14 [2007]
  92. Kratochvíl J., Kružík Martin, Sedláček R., Sveshnikov A. M.: Mechanisms controlling formation of the ultra-fine microstructure in severely deformed materials, Engineering Mechanics = Inženýrská mechanika 13 4 (2006), p. 261-270 [2006]
  93. Roubíček Tomáš, Kružík Martin: Mesoscopic model of microstructure evolution in shape memory alloys, its numerical analysis and computer implementation, GAMM Mitteilungen 29 1 (2006), p. 192-214 [2006]
  94. Kružík Martin, Prohl A.: Recent developments in the modeling, analysis, and numerics of ferromagnetism, SIAM Review 48 3 (2006), p. 439-483 [2006]
  95. Kružík Martin: Periodic solutions to a hysteresis model in micromagnetics, Journal of Convex Analysis 13 1 (2006), p. 81-99 [2006]
  96. Roubíček Tomáš, Kružík Martin: Mesoscopic model for ferromagnets with isotropic hardening, Zeitschrift für angewandte Mathematik und Physik 56 1 (2005), p. 107-135 [2005]
  97. Kružík Martin, Mielke A., Roubíček Tomáš: Modelling of microstructure and its evolution in shape-memory-alloy single crystals, in particular in CuALNi, Meccanica 40, p. 389-418 [2005]
  98. Kružík Martin, Prohl A.: Macroscopic modeling of magnetic hysteresis, Advances in Mathematical Sciences and Applications 14 14 (2004), p. 665-681 [2004]
  99. Kružík Martin, Otto F.: A phenomenological model for hysteresis in polycrystalline shape memory alloys, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 84 12 (2004), p. 835-842 [2004]
  100. Kružík Martin, Roubíček Tomáš: Interactions between demagnetizing field and minor-loop development in bulk ferromagnets, Journal of Magnetism and Magnetic Materials 277, p. 192-200 [2004]
  101. Roubíček Tomáš, Kružík Martin: Microstructure evolution model in micromagnetics, Zeitschrift für angewandte Mathematik und Physik 55 1 (2004), p. 159-182 [2004]
  102. Kružík Martin: Maximum principle based algorithm for hysteresis in micromagnetics, Advances in Mathematical Sciences and Applications 13 2 (2003), p. 461-485 [2003]
  103. Kružík Martin, Luskin M.: The computation of martensitic microstructure with piecewise laminates, Journal of Scientific Computing 19, p. 293-308 [2003]
  104. Kružík Martin: A note on equality of functional envelopes, Mathematica Bohemica 128 2 (2003), p. 169-178 [2003]
  105. Kružík Martin, Roubíček Tomáš: Specimen shape influence on hysteretic response of bulk ferromagnets, Journal of Magnetism and Magnetic Materials 256 1 (2003), p. 158-167 [2003]
  106. Kružík Martin, Prohl A.: Young measure approximation in micromagnetics, Numerische Mathematik 90 2 (2001), p. 291-307 [2001]
  107. Kružík Martin: Bauer's maximum principle and hulls of sets, Calculus of Variations and Partial Differential Equations 11 3 (2000), p. 321-332 [2000]
  108. Kružík Martin, Roubíček Tomáš: Weierstrass-type maximum principle for microstructure in micromagnetics, Zeitschrift für Analysis und Ihre Anwendungen 19 2 (2000), p. 415-428 [2000]
  109. Kružík Martin, Roubíček Tomáš: Optimization problems with concentration and oscillation effects: Relaxation theory and numerical approximation, Numerical Functional Analysis and Optimization 20, p. 511-530 [1999]
  110. Kružík Martin, Roubíček Tomáš: Some geometric properties of the set of generalized Young functionals, Proceedings of the Royal Society of Edinburgh. A - Mathematics 129, p. 601-616 [1999]
  111. Kružík Martin: On the composition of quasiconvex functions and the transposition, Journal of Convex Analysis 6 1 (1999), p. 207-213 [1999]
  112. Kružík Martin: Numerical approach to double well problems, SIAM Journal on Numerical Analysis 35 5 (1998), p. 1833-1849 [1998]
  113. Kružík Martin: DiPerna-Majda measures and uniform integrability, Commentationes Mathematicae Universitatis Carolinae 39 3 (1998), p. 511-523 [1998]
  114. Kružík Martin, Roubíček Tomáš: On the measures of DiPerna and Majda, Mathematica Bohemica 122 4 (1997), p. 383-399 [1997]
  115. Kružík Martin, Roubíček Tomáš: Explicit characterization of Lp-Young measures, Journal of Mathematical Analysis and Applications 198, p. 830-843 [1996]

Ostatní publikace

  1. Kružík Martin, Zimmer J.: Modelling of Thin Martensitic Films with Nonpolynomial Stored Energies, Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of Jurgen Scheurle - Springer Proceedings in Mathematics and Statistics 35, p. 587-608, Eds: Johann Andreas, Kruse Hans-Peter, Rupp Florian, Schmitz Stephan Stáhnout DOI: 10.1007/978-3-0348-0451-6_22 [2013]
  2. Kružík Martin, Roubíček Tomáš: Matematické a počítačové modelování aktivních materiálů, Vesmír 88 1 (2009), p. 21-23 [2009]
  3. Hassdorf R., Feydt J., Thienhaus S., Buforn L., Kružík Martin: Probing superelasticity in NiTi-based shape memory thin films and foils, Proceedings of the International Conference on Shape Memory and Superelastic Technologies, p. 399-407, Eds: Duerig T.W., Pelton A.R. [2006]
  4. Hassdorf R., Feydt J., Thienhaus S., Conte N., Kružík Martin: Spherical load indentation in submicron NiTiCu shape memory thin films, Fundamentals of Nanoindentation and Nanotribology III, p. 971-976, Eds: Bahr D. F., Cheng Y. T., Huber N., Material Research Society (Warrendale, 2005) [2005]
  5. Kružík Martin: Rate-independent behavior of ferromagnets, Proceedings in Applied Mathematics and Mechanics (PAMM), p. 67-70 [2004]
  6. Kružík Martin, Roubíček Tomáš: Mesoscopic Model of Microstructure Evolution in Shape Memory Alloys with Applications to NiMnGa, IMA University of Minnesota (Minneapolis, 2004) [2004]
  7. Kružík Martin: Periodicity properties of solutions to a hysteresis model in micromagnetics, Proceedings of the 5th European Conference on Numerical Mathematics and Advanced Applications, p. 605-614 [2004]
  8. Kružík Martin: Variational models for microstructures in shape memory alloys and in micromagnetics and their numerical treatment, Communications of the Bexbach Colloquium on Science 2000, p. 20-38, Eds: Robnik M., Ruffing A., Shaker (Aachen, 2003) [2003]
  9. Kružík Martin: Quasiconvex extreme points of convex sets, European Conference on Elliptic and Parabolic Problems, p. 145-151, Eds: Bemelmans J., Brighi B., Brillard A., World Scientific (Singapore, 2002) [2002]
  10. Kružík Martin: Maximum Principle Based Algorithm for Hysteresis in Micromagnetics, Center of Advanced European Studies and Research (Bonn, 2001) [2001]
  11. Kružík Martin: Quasiconvex Extreme Points of Convex Sets, Center of Advanced European Studies and Research (Bonn, 2001) [2001]
  12. Roubíček Tomáš, Kružík Martin: Adaptive approximation algorithm for relaxed optimization problems, Proceedings of the Conference Fast Solution of Discretized Optimization Problems, p. 242-254, Eds: Hoffmann K. H., Hoppe R. H. W., Schultz V., Birkhäuser (Basel, 2001) [2001]
  13. Roubíček Tomáš, Kružík Martin: Numerical treatment of microstructure evolution modeling, Proceedings of the 2nd European Conference on Numerical Mathematics and Advanced Applications, p. 532-539, World Scientific (Singapore, 1998) [1998]
  14. Kružík Martin: Numerical Approach to Double Well Problems, University of Minnesota (Minneapolis, 1997) [1997]
  15. Kružík Martin: DiPerna-Majda Measures and Uniform Integrability, University of Minnesota (Minneapolis, 1997) [1997]
Vytvořeno v SUITU websites SE • Běží na MySuitu CMS • © 2026
Intranet