Prof. RNDr. Martin Kružík, Ph.D. DSc.

head of department, senior research fellow

Martin Kružík
kruzik@utia.cas.cz 266052395 Personal web
Department: Department of Decision-Making Theory
Research interests: Calculus of variations, mathematical models of continuum mechanics

Biography

Publication list

Martin Kružík is a Professor of Mathematical Modeling at the Institute of Information Theory and Automation of the Czech Academy of Sciences and at the Czech Technical University in Prague. His research interests range from the calculus of variations and applied mathematical analysis to mathematical problems in continuum physics.

 

Ph.D. students

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

Books and chapters

  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 Download 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 Download 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) Download 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. Download 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 Download 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 Download 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]

Journal articles

  1. Kružík Martin, Mainini E.: Linearization of Finite Elasticity with Surface Tension, Journal of Nonlinear Science 35 Download Download DOI: 10.1007/s00332-025-10156-5 [2025]
  2. 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 Download Download DOI: 10.1142/S0218202525500010 [2025]
  3. Chiesa A., Kružík Martin, Stefanelli U.: Finite-strain Poynting-Thomson model: Existence and linearization, Mathematics and Mechanics of Solids Download Download DOI: 10.1177/10812865241263788 [2025]
  4. 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 Download Download DOI: 10.1515/acv-2023-0009 [2024]
  5. Krömer Stefan, Kružík Martin, Morandotti M., Zappale E.: Measure-Valued Structured Deformations, Journal of Nonlinear Science 34 Download Download DOI: 10.1007/s00332-024-10076-w [2024]
  6. 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 Download Download DOI: 10.1017/prm.2023.36 [2024]
  7. 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 Download Download DOI: 10.1137/23M1557088 [2024]
  8. Bevan J., Kružík Martin, Valdman Jan: Hadamard’s inequality in the mean, Nonlinear Analysis: Theory, Methods & Applications 243 Download Download DOI: 10.1016/j.na.2024.113523 [2024]
  9. 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 Download Download DOI: 10.1515/acv-2022-0009 [2024]
  10. 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 Download Download DOI: 10.1137/21M1446836 [2023]
  11. Tyburec Marek, Kočvara Michal, Kružík Martin: Global weight optimization of frame structures with polynomial programming, Structural and Multidisciplinary Optimization 66 Download Download DOI: 10.1007/s00158-023-03715-5 [2023]
  12. 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 Download Download DOI: 10.1098/rsta.2022.0366 [2023]
  13. 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 Download Download DOI: 10.1137/21M1446836 [2023]
  14. 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 Download Download DOI: 10.4171/AIHPC/51 [2023]
  15. 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 Download Download DOI: 10.1515/acv-2021-0063 [2023]
  16. Badal R., Friedrich M., Kružík Martin: Nonlinear and Linearized Models in Thermoviscoelasticity, Archive for Rational Mechanics and Analysis 247 Download Download DOI: 10.1007/s00205-022-01834-9 [2023]
  17. 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 Download Download DOI: 10.1016/j.cma.2022.115695 [2023]
  18. 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 Download Download DOI: 10.3934/mine.2023030 [2023]
  19. 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 Download Download DOI: 10.1007/s00032-022-00368-9 [2022]
  20. 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 Download Download DOI: 10.1016/j.apm.2022.01.028 [2022]
  21. Kružík Martin, Mariano P. M., Mucci D.: Crack Occurrence in Bodies with Gradient Polyconvex Energies, Journal of Nonlinear Science 32 Download Download DOI: 10.1007/s00332-021-09769-3 [2022]
  22. Davoli E., Kružík Martin, Pelech P.: Separately global solutions to rate-independent processes in large-strain inelasticity, Nonlinear Analysis: Theory, Methods & Applications 215 Download Download DOI: 10.1016/j.na.2021.112668 [2022]
  23. Friedrich M., Kružík Martin, Stefanelli U.: Equilibrium of immersed hyperelastic solids, Discrete and Continuous Dynamical systems - Series S 14 11 (2021), p. 4141-4157 Download Download DOI: 10.3934/dcdss.2021003 [2021]
  24. Kružík Martin, Zeman J.: Elastoplasticity of gradient-polyconvex materials, Zeitschrift für angewandte Mathematik und Physik 72 Download Download DOI: 10.1007/s00033-021-01603-w [2021]
  25. Davoli E., Kružík Martin, Piovano P., Stefanelli U.: Magnetoelastic thin films at large strains, Continuum Mechanics and Thermodynamics 33 1 (2021), p. 327-341 Download Download DOI: 10.1007/s00161-020-00904-1 [2021]
  26. 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 Download Download DOI: 10.1016/j.ijsolstr.2020.08.012 [2021]
  27. 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 Download Download DOI: 10.3934/dcdss.2020322 [2021]
  28. Grandi D., Kružík Martin, Mainini E., Stefanelli U.: Equilibrium for Multiphase Solids with Eulerian Interfaces, Journal of Elasticity 142 1 (2020), p. 409-431 Download Download DOI: 10.1007/s10659-020-09800-w [2020]
  29. Kružík Martin, Melching D., Stefanelli U.: Quasistatic evolution for dislocation-free finite plasticity, ESAIM-Control Optimisation and Calculus of Variations 26 Download Download DOI: 10.1051/cocv/2020031 [2020]
  30. 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 Download Download DOI: 10.1007/s00205-020-01547-x [2020]
  31. Horák M., Kružík Martin: Gradient polyconvex material models and their numerical treatment, International Journal of Solids and Structures 195 1 (2020), p. 57-65 Download Download DOI: 10.1016/j.ijsolstr.2020.03.006 [2020]
  32. 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 Download Download DOI: 10.1007/s10957-019-01489-9 [2020]
  33. 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 Download DOI: 10.1177/1081286519841103 [2019]
  34. 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 Download Download DOI: 10.1007/s00205-019-01391-8 [2019]
  35. Henrion D., Kružík Martin, Weisser T.: Optimal control problems with oscillations, concentrations and discontinuities, Automatica 103 1 (2019), p. 159-165 Download Download DOI: 10.1016/j.automatica.2019.01.030 [2019]
  36. 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 Download Download DOI: 10.12693/APhysPolA.134.753 [2018]
  37. 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 Download DOI: 10.1142/S0218202518500513 [2018]
  38. Kružík Martin, Mora-Corral C., Stefanelli U.: Quasistatic elastoplasticity via Peridynamics: existence and localization, Continuum Mechanics and Thermodynamics 30 5 (2018), p. 1155-1184 Download DOI: 10.1007/s00161-018-0671-5 [2018]
  39. Friedrich M., Kružík Martin: On the passage from nonlinear to linearized viscoelasticity, SIAM Journal on Mathematical Analysis 50 4 (2018), p. 4426-4456 Download DOI: 10.1137/17M1131428 [2018]
  40. 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 Download DOI: 10.1137/16M1103464 [2018]
  41. 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 Download DOI: 10.1002/zamm.201700032 [2018]
  42. Kružík Martin, Valdman Jan: Computational modeling of magnetic hysteresis with thermal effects, Mathematics and Computers in Simulation 145 1 (2018), p. 90-105 Download DOI: 10.1016/j.matcom.2017.03.004 [2018]
  43. Benešová B., Kružík Martin: Weak Lower Semicontinuity of Integral Functionals and Applications, SIAM Review 59 4 (2017), p. 703-766 Download DOI: 10.1137/16M1060947 [2017]
  44. Heinz S., Kružík Martin: Computations of Quasiconvex Hulls of Isotropic Sets, Journal of Convex Analysis 24 2 (2017), p. 477-492 Download [2017]
  45. 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 Download DOI: 10.1515/acv-2015-0009 [2017]
  46. 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 Download DOI: 10.1051/cocv/2015041 [2017]
  47. 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 Download DOI: 10.1002/zamm.201500209 [2016]
  48. 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 Download DOI: 10.1016/j.ijplas.2016.01.016 [2016]
  49. 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 Download DOI: 10.1051/cocv/2015003 [2016]
  50. Kratochvíl J., Kružík Martin: A crystal plasticity model of a formation of a deformation band structure, Philosophical Magazine 95 32 (2015), p. 3621-3639 Download DOI: 10.1080/14786435.2015.1090638 [2015]
  51. 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 Download DOI: 10.1051/cocv/2014036 [2015]
  52. 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 Download DOI: 10.3934/dcds.2015.35.5999 [2015]
  53. Kružík Martin, Stefanelli U., Zeman J.: Existence Results for Incompressible Magnetoelasticity, Discrete and Continuous Dynamical Systems 35 6 (2015), p. 2615-2623 Download DOI: 10.3934/dcds.2015.35.2615 [2015]
  54. 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 Download DOI: 10.1177/1081286513507942 [2015]
  55. 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 Download DOI: 10.1007/s00161-013-0323-8 [2014]
  56. 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 Download DOI: 10.1007/s00526-013-0621-9 [2014]
  57. Benešová Barbora, Kružík Martin, Pathó G.: Young measures supported on invertible matrices, Applicable Analysis 93 1 (2014), p. 105-123 Download DOI: 10.1080/00036811.2012.760039 [2014]
  58. 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 Download [2013]
  59. 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 Download DOI: 10.1051/cocv/2012028 [2013]
  60. 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 Download DOI: 10.3934/nhm.2013.8.481 [2013]
  61. 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 Download DOI: 10.3934/dcdsb.2013.18.283 [2013]
  62. 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 Download DOI: 10.1007/s00033-012-0236-6 [2013]
  63. 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 Download DOI: 10.1007/s00033-012-0223-y [2013]
  64. 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 Download DOI: 10.1007/s00211-012-0474-8 [2012]
  65. 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 Download DOI: 10.4171/ZAA/1449 [2012]
  66. 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 Download DOI: 10.3934/dcdss.2012.5.591 [2012]
  67. 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 Download DOI: 10.1137/110821718 [2011]
  68. 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]
  69. 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]
  70. 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 Download [2010]
  71. Kružík Martin, Pathó G.: Variational model of martensitic thin films and its numerical treatment, Technische Mechanik 30, p. 203-210 Download [2010]
  72. Kratochvíl J., Kružík Martin, Sedláček R.: Crystal plasticity model of shear and kink bands-energetic approach, Philosophical Magazine 90 27 (2010), p. 3729-3742 Download DOI: 10.1080/14786430903449411 [2010]
  73. Kratochvíl J., Kružík Martin, Sedláček R.: Energetic approach to gradient plasticity, ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik 90 2 (2010), p. 122-135 Download DOI: 10.1002/zamm.200900227 [2010]
  74. 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 Download DOI: 10.1051/cocv/2009006 [2010]
  75. Kružík Martin, Zimmer J.: Evolutionary problems in non-reflexive spaces, ESAIM-Control Optimisation and Calculus of Variations 16 1 (2010), p. 1-22 Download DOI: 10.1051/cocv:2008060 [2010]
  76. Kružík Martin, Roubíček Tomáš: Matematické a počítačové modelování aktivních materiálů, Vesmír 88 1 (2009), p. 21-23 Download [2009]
  77. Kratochvíl J., Kružík Martin, Sedláček R.: Energetic formulation of nonlocal crystal plasticity, International Journal of Materials Research 100 3 (2009), p. 340-341 Download DOI: 10.3139/146.110026 [2009]
  78. 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 Download DOI: 10.1016/j.actamat.2008.10.016 [2009]
  79. 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]
  80. 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]
  81. 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 Download DOI: 10.1002/pamm.200700242 [2007]
  82. Kružík Martin: On convergence of gradient-dependent integrands, Applications of Mathematics 52 6 (2007), p. 529-543 [2007]
  83. 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]
  84. 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]
  85. 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]
  86. 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]
  87. Kružík Martin, Prohl A.: Recent developments in the modeling, analysis, and numerics of ferromagnetism, SIAM Review 48 3 (2006), p. 439-483 [2006]
  88. Kružík Martin: Periodic solutions to a hysteresis model in micromagnetics, Journal of Convex Analysis 13 1 (2006), p. 81-99 [2006]
  89. Roubíček Tomáš, Kružík Martin: Mesoscopic model for ferromagnets with isotropic hardening, Zeitschrift für angewandte Mathematik und Physik 56 1 (2005), p. 107-135 [2005]
  90. 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]
  91. Kružík Martin, Prohl A.: Macroscopic modeling of magnetic hysteresis, Advances in Mathematical Sciences and Applications 14 14 (2004), p. 665-681 [2004]
  92. 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]
  93. 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]
  94. Roubíček Tomáš, Kružík Martin: Microstructure evolution model in micromagnetics, Zeitschrift für angewandte Mathematik und Physik 55 1 (2004), p. 159-182 [2004]
  95. Kružík Martin: Maximum principle based algorithm for hysteresis in micromagnetics, Advances in Mathematical Sciences and Applications 13 2 (2003), p. 461-485 [2003]
  96. Kružík Martin, Luskin M.: The computation of martensitic microstructure with piecewise laminates, Journal of Scientific Computing 19, p. 293-308 [2003]
  97. Kružík Martin: A note on equality of functional envelopes, Mathematica Bohemica 128 2 (2003), p. 169-178 [2003]
  98. 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]
  99. Kružík Martin, Prohl A.: Young measure approximation in micromagnetics, Numerische Mathematik 90 2 (2001), p. 291-307 [2001]
  100. Kružík Martin: Bauer's maximum principle and hulls of sets, Calculus of Variations and Partial Differential Equations 11 3 (2000), p. 321-332 [2000]
  101. 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]
  102. 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]
  103. 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]
  104. Kružík Martin: On the composition of quasiconvex functions and the transposition, Journal of Convex Analysis 6 1 (1999), p. 207-213 [1999]
  105. Kružík Martin: Numerical approach to double well problems, SIAM Journal on Numerical Analysis 35 5 (1998), p. 1833-1849 [1998]
  106. Kružík Martin: DiPerna-Majda measures and uniform integrability, Commentationes Mathematicae Universitatis Carolinae 39 3 (1998), p. 511-523 [1998]
  107. Kružík Martin, Roubíček Tomáš: On the measures of DiPerna and Majda, Mathematica Bohemica 122 4 (1997), p. 383-399 [1997]
  108. Kružík Martin, Roubíček Tomáš: Explicit characterization of Lp-Young measures, Journal of Mathematical Analysis and Applications 198, p. 830-843 [1996]

Other publications

  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 Download 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]
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