All Stories

  1. Renormalized Energy of a Dislocation Loop in a 3D Anisotropic Body

    Article • Journal of Elasticity, May 2023, Springer Science + Business Media

    Miroslav Silhavy

  2. The Gauss-Green theorem for bounded vectorfields with divergence measure on sets of finite perimeter

    Article • Indiana University Mathematics Journal, January 2023, Indiana University Mathematics Journal

    Miroslav Silhavy

  3. A new approach to curvature measures in linear shell theories

    Article • Mathematics and Mechanics of Solids, December 2020, SAGE Publications

    Miroslav Silhavy

  4. Fractional vector analysis based on invariance requirements (critique of coordinate approaches)

    Article • Continuum Mechanics and Thermodynamics, June 2019, Springer Science + Business Media

    Miroslav Silhavy

  5. Consequences of the Coleman‐Noll inequality for isotropic materials

    Article • ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, March 2019, Wiley

    Miroslav Silhavy

  6. The scientific work of Bernard D. Coleman

    Article • Mathematics and Mechanics of Solids, February 2019, SAGE Publications

    Miroslav Silhavy

  7. Interaction of nonlinear elasticity of smart materials with their electric and magnetic properties

    Article • Mathematics and Mechanics of Solids, February 2018, SAGE Publications

    Miroslav Silhavy

  8. Polyconvexity for functions of a system of closed differential forms

    Article • Calculus of Variations and Partial Differential Equations, January 2018, Springer Science + Business Media

    Miroslav Silhavy

  9. Effective energy of complicated solids

    Article • Mathematics and Mechanics of Complex Systems, June 2017, Mathematical Sciences Publishers

    Miroslav Silhavy

  10. A variational approach to nonlinear electro-magneto-elasticity: Convexity conditions and existence theorems

    Article • Mathematics and Mechanics of Solids, April 2017, SAGE Publications

    Miroslav Silhavy

  11. On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate

    Article • Nonlinear Analysis Real World Applications, December 2016, Elsevier

    Miroslav Silhavy

  12. analysis of long-range-forces in solids

    Article • Mathematics and Mechanics of Solids, April 2016, SAGE Publications

    Miroslav Silhavy

  13. Stresses in equilibrium configurations of inextensible nets with slack

    Article • Mathematics and Mechanics of Solids, September 2015, SAGE Publications

    Miroslav Silhavy

  14. A Remark on Polyconvex Functions with Symmetry

    Article • Journal of Elasticity, June 2015, Springer Science + Business Media

    Miroslav Silhavy

  15. The exponentiated Hencky-logarithmic strain energy. Improvement of planar polyconvexity

    Article • International Journal of Non-Linear Mechanics, May 2015, Elsevier

    Miroslav Silhavy

  16. On the derivative of the stress–strain relation in a no-tension material

    Article • Mathematics and Mechanics of Solids, February 2015, SAGE Publications

    Miroslav Silhavy

  17. On the approximation theorem for structured deformations from BV(Ω)

    Article • Mathematics and Mechanics of Complex Systems, February 2015, Mathematical Sciences Publishers

    Miroslav Silhavy

  18. A Direct Approach to Membrane Reinforced Bodies

    Article • January 2015, Springer Science + Business Media

    Miroslav Silhavy

  19. On the dynamics of viscous masonry beams

    Article • Continuum Mechanics and Thermodynamics, April 2014, Springer Science + Business Media

    Miroslav Silhavy

  20. Mathematics of the Masonry–Like model and Limit Analysis

    Article • January 2014, Springer Science + Business Media

    Miroslav Silhavy

  21. A direct approach to nonlinear shells with application to surface-substrate interactions

    Article • Mathematics and Mechanics of Complex Systems, August 2013, Mathematical Sciences Publishers

    Miroslav Silhavy

  22. Collapse mechanisms and the existence of equilibrium solutions for masonry bodies

    Article • Mathematics and Mechanics of Solids, June 2013, SAGE Publications

    Miroslav Silhavy

  23. A direct approach to fiber and membrane reinforced bodies. Part II. Membrane reinforced bodies

    Article • Continuum Mechanics and Thermodynamics, June 2013, Springer Science + Business Media

    Miroslav Silhavy

  24. Coaxiality of stress and strain in anisotropic no-tension materials

    Article • Meccanica, January 2013, Springer Science + Business Media

    Miroslav Silhavy

  25. A direct approach to fiber and membrane reinforced bodies. Part I. Stress concentrated on curves for modelling fiber reinforced materials

    Article • Continuum Mechanics and Thermodynamics, January 2013, Springer Science + Business Media

    Miroslav Silhavy

  26. On the choice of functions spaces in the limit analysis for masonry bodies

    Article • Journal of Mechanics of Materials and Structures, December 2012, Mathematical Sciences Publishers

    Miroslav Silhavy

  27. Phase equilibria in isotropic solids

    Article • Continuum Mechanics and Thermodynamics, November 2012, Springer Science + Business Media

    Miroslav Silhavy

  28. Equilibrium of Phases with Interfacial Energy: A Variational Approach

    Article • Journal of Elasticity, May 2011, Springer Science + Business Media

    Miroslav Silhavy

  29. Integration of parametric measures and the statics of masonry panels

    Article • Annals of Solid and Structural Mechanics, April 2011, Springer Science + Business Media

    Miroslav Silhavy

  30. Equilibrium Problems and Limit Analysis of Masonry Beams

    Article • Journal of Elasticity, February 2011, Springer Science + Business Media

    Miroslav Silhavy

  31. Equilibrium of Phases with Interfacial Energy: A Variational Approach

    Article • January 2011, Springer Science + Business Media

    Miroslav Silhavy

  32. The effective energy in the Allen–Cahn model with deformation

    Article • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications, January 2011, European Mathematical Publishing House

    Miroslav Silhavy

  33. An energetic view on the limit analysis of normal bodies

    Article • Quarterly of Applied Mathematics, September 2010, American Mathematical Society (AMS)

    Miroslav Silhavy

  34. Phase Transitions with Interfacial Energy: Interface Null Lagrangians, Polyconvexity, and Existence

    Article • January 2010, Springer Science + Business Media

    Miroslav Silhavy

  35. Phase transitions with interfacial energy: convexity conditions and the existence of minimizers

    Article • January 2010, Springer Science + Business Media

    Miroslav Silhavy

  36. Equilibrated divergence measure stress tensor fields for heavy masonry bodies

    Article • European Journal of Mechanics - A/Solids, March 2009, Elsevier

    Miroslav Silhavy

  37. Integration of measures and admissible stress fields for masonry bodies

    Article • Journal of Mechanics of Materials and Structures, June 2008, Mathematical Sciences Publishers

    Miroslav Silhavy

  38. Cauchy’s stress theorem for stresses represented by measures

    Article • Continuum Mechanics and Thermodynamics, April 2008, Springer Science + Business Media

    Miroslav Silhavy

  39. Processes in Masonry Bodies and the Dynamical Significance of Collapse

    Article • Mathematics and Mechanics of Solids, April 2008, SAGE Publications

    Miroslav Silhavy

  40. The Divergence Theorem for Divergence Measure Vectorfields on Sets with Fractal Boundaries

    Article • Mathematics and Mechanics of Solids, March 2008, SAGE Publications

    Miroslav Silhavy

  41. Normal Currents: Structure, Duality Pairings and div–curl Lemmas

    Article • Milan Journal of Mathematics, December 2007, Springer Science + Business Media

    Miroslav Silhavy

  42. A note on equilibrated stress fields for no-tension bodies under gravity

    Article • Quarterly of Applied Mathematics, October 2007, American Mathematical Society (AMS)

    Miroslav Silhavy

  43. On the Balance Equation for Stresses Concentrated on Curves

    Article • Journal of Elasticity, September 2007, Springer Science + Business Media

    Miroslav Silhavy

  44. Ideally soft nematic elastomers

    Article • Networks & Heterogeneous Media, January 2007, American Institute of Mathematical Sciences (AIMS)

    Miroslav Silhavy

  45. On the Rank 1 Convexity of Stored Energy Functions of Physically Linear Stress-Strain Relations

    Article • Journal of Elasticity, November 2006, Springer Science + Business Media

    Miroslav Silhavy

  46. Generalized Baker–Ericksen Inequalities

    Article • Journal of Elasticity, August 2006, Springer Science + Business Media

    Miroslav Silhavy

  47. A new class of equilibrated stress fields for no-tension bodies

    Article • Journal of Mechanics of Materials and Structures, July 2006, Mathematical Sciences Publishers

    Miroslav Silhavy

  48. Fluxes Across Parts of Fractal Boundaries

    Article • Milan Journal of Mathematics, June 2006, Springer Science + Business Media

    Miroslav Silhavy

  49. Dislocation walls in crystals under single slip

    Article • Computer Methods in Applied Mechanics and Engineering, December 2004, Elsevier

    Miroslav Silhavy

  50. On Semiconvexity Properties of Rotationally Invariant Functions in Two Dimensions

    Article • Czechoslovak Mathematical Journal, September 2004, Institute of Mathematics, Czech Academy of Sciences

    Miroslav Silhavy

  51. Semiconvexity of invariant functions of rectangular matrices

    Article • Calculus of Variations and Partial Differential Equations, May 2003, Springer Science + Business Media

    Miroslav Silhavy

  52. On the Hysteresis in Martensitic Transformations

    Article • January 2003, Springer Science + Business Media

    Miroslav Silhavy

  53. On SO(n)-Invariant Rank 1 Convex Functions

    Article • Journal of Elasticity, January 2003, Springer Science + Business Media

    Miroslav Silhavy

  54. Monotonicity of rotationally invariant convex and rank 1 convex functions

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, April 2002, Cambridge University Press

    Miroslav Silhavy

  55. An O(n) invariant rank 1 convex function that is not polyconvex

    Article • Theoretical and Applied Mechanics, January 2002, National Library of Serbia

    Miroslav Silhavy

  56. Article • Journal of Elasticity, January 2002, Springer Science + Business Media

    Miroslav Silhavy

  57. Rank 1 perturbations of deformation gradients

    Article • International Journal of Solids and Structures, February 2001, Elsevier

    Miroslav Silhavy

  58. Rotationally Invariant Rank 1 Convex Functions

    Article • Applied Mathematics & Optimization, January 2001, Springer Science + Business Media

    Miroslav Silhavy

  59. Differentiability properties of isotropic functions

    Article • Duke Mathematical Journal, September 2000, Duke University Press

    Miroslav Silhavy

  60. Article • Journal of Elasticity, January 2000, Springer Science + Business Media

    Miroslav Silhavy

  61. Article • Journal of Elasticity, January 2000, Springer Science + Business Media

    Miroslav Silhavy

  62. Elastic scalar invariants in the theory of defective crystals

    Article • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, December 1999, Royal Society Publishing

    Miroslav Silhavy

  63. On isotropic rank 1 convex functions

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, January 1999, Cambridge University Press

    Miroslav Silhavy

  64. Article • Journal of Elasticity, January 1999, Springer Science + Business Media

    Miroslav Silhavy

  65. Polar Decomposition of Rank 1 Perturbations in Two Dimensions

    Article • Mathematics and Mechanics of Solids, March 1998, SAGE Publications

    Miroslav Silhavy

  66. The Mechanics and Thermodynamics of Continuous Media

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  67. Material Bodies

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  68. Balance Equations

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  69. The Dynamic Response

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  70. The Environment

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  71. Thermostatics of Fluids

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  72. Extremum Principles

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  73. Adiabatic Fluid Dynamics

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  74. Synopsis

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  75. Isotropic Functions

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  76. Equilibrium States

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  77. Constitutive Inequalities

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  78. The Equilibrium Response of Isotropic Bodies

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  79. Dissipation of Energy in Solids

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  80. Geometry and Kinematics of Continuous Bodies

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  81. Elements of Tensor Algebra and Analysis

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  82. Waves in the Referential Description

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  83. The Second Law of Thermodynamics

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  84. Convexity Conditions for Isotropic Functions

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  85. Dynamical Thermoelastic and Adiabatic Theories

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  86. Convexity

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  87. The Equilibrium Response

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  88. Constitutive Equations

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  89. Direct Methods in Equilibrium Theory

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  90. The First Law of Thermodynamics

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  91. The Principle of Material Frame Indifference

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  92. A Local Approach to the Equilibrium of Solids

    Article • January 1997, Springer Science + Business Media

    Miroslav Silhavy

  93. A note on Onsager’s relations

    Article • Quarterly of Applied Mathematics, September 1994, American Mathematical Society (AMS)

    Miroslav Silhavy

  94. Thermoplastic materials with combined hardening

    Article • International Journal of Plasticity, January 1993, Elsevier

    Miroslav Silhavy

  95. Global solution to the viscous compressible barotropic multipolar gas

    Article • Theoretical and Computational Fluid Dynamics, November 1992, Springer Science + Business Media

    Miroslav Silhavy

  96. Energy principles and the equations of motion in Galilean thermomechanics

    Article • Czechoslovak Journal of Physics, April 1992, Springer Science + Business Media

    Miroslav Silhavy

  97. Global solution to the compressible isothermal multipolar fluid

    Article • Journal of Mathematical Analysis and Applications, November 1991, Elsevier

    Miroslav Silhavy

  98. Cauchy's stress theorem and tensor fields with divergences in Lp

    Article • Archive for Rational Mechanics and Analysis, September 1991, Springer Science + Business Media

    Miroslav Silhavy

  99. Il'yushin's conditions in non-isothermal plasticity

    Article • Archive for Rational Mechanics and Analysis, June 1991, Springer Science + Business Media

    Miroslav Silhavy

  100. Multipolar viscous fluids

    Article • Quarterly of Applied Mathematics, January 1991, American Mathematical Society (AMS)

    Miroslav Silhavy

  101. The Thermodynamics of Elastic-Plastic Materials

    Article • January 1991, Springer Science + Business Media

    Miroslav Silhavy

  102. Mixture invariance and its applications

    Article • Archive for Rational Mechanics and Analysis, December 1990, Springer Science + Business Media

    Miroslav Silhavy

  103. Mass, internal energy, and Cauchy's equations in frame-indifferent thermodynamics

    Article • Archive for Rational Mechanics and Analysis, March 1989, Springer Science + Business Media

    Miroslav Silhavy

  104. On Thermostatics of Non-Simple Materials with Memory

    Article • Journal of Non-Equilibrium Thermodynamics, January 1989, De Gruyter

    Miroslav Silhavy

  105. The asymptotic behavior of classical solutions to the mixed initial-boundary value problem in finite thermo-viscoelasticity

    Article • Quarterly of Applied Mathematics, June 1988, American Mathematical Society (AMS)

    Miroslav Silhavy

  106. On the concepts of mass and linear momentum in Galilean thermodynamics

    Article • Czechoslovak Journal of Physics, February 1987, Springer Science + Business Media

    Miroslav Silhavy

  107. The Existence of the Flux Vector and the Divergence Theorem for General Cauchy Fluxes

    Article • January 1987, Springer Science + Business Media

    Miroslav Silhavy

  108. Foundations of Continuum Thermodynamics

    Article • January 1986, Springer Science + Business Media

    Miroslav Silhavy

  109. The existence of the flux vector and the divergence theorem for general Cauchy fluxes

    Article • Archive for Rational Mechanics and Analysis, September 1985, Springer Science + Business Media

    Miroslav Silhavy

  110. Phase transitions in non-simple bodies

    Article • Archive for Rational Mechanics and Analysis, June 1985, Springer Science + Business Media

    Miroslav Silhavy

  111. Asymptotic stability in nonlinear viscoelasticity

    Article • Quarterly of Applied Mathematics, October 1984, American Mathematical Society (AMS)

    Miroslav Silhavy

  112. Thermostatics of non-simple materials

    Article • Czechoslovak Journal of Physics, July 1984, Springer Science + Business Media

    Miroslav Silhavy

  113. Thermodynamics of Cyclic Processes

    Article • January 1984, Springer Science + Business Media

    Miroslav Silhavy

  114. An Admissibility Criterion for Shocks and Propagating Phase Boundaries via Thermodynamics of Non-Simple Materials II

    Article • Journal of Non-Equilibrium Thermodynamics, January 1984, De Gruyter

    Miroslav Silhavy

  115. An Admissibility Criterion for Shocks and Propagating Phase Boundaries via Thermodynamics of Non-Simple Materials l

    Article • Journal of Non-Equilibrium Thermodynamics, January 1984, De Gruyter

    Miroslav Silhavy

  116. On the Clausius inequality

    Article • Archive for Rational Mechanics and Analysis, September 1983, Springer Science + Business Media

    Miroslav Silhavy

  117. On the second law of thermodynamics II. Inequalities for cyclic processes

    Article • Czechoslovak Journal of Physics, October 1982, Springer Science + Business Media

    Miroslav Silhavy

  118. On the second law of thermodynamics I. General framework

    Article • Czechoslovak Journal of Physics, September 1982, Springer Science + Business Media

    Miroslav Silhavy

  119. On Thermodynamics of Non-Equilibrium Processes

    Article • Journal of Non-Equilibrium Thermodynamics, January 1982, De Gruyter

    Miroslav Silhavy

  120. On measures, convex cones, and foundations of thermodynamics II. Thermodynamic systems

    Article • Czechoslovak Journal of Physics, September 1980, Springer Science + Business Media

    Miroslav Silhavy

  121. On measures, convex cones, and foundations of thermodynamics I. Systems with vector-valued actions

    Article • Czechoslovak Journal of Physics, August 1980, Springer Science + Business Media

    Miroslav Silhavy

  122. How many constitutive functions are necessary to determine a thermoelastic material?

    Article • Czechoslovak Journal of Physics, September 1979, Springer Science + Business Media

    Miroslav Silhavy

  123. A condition equivalent to the existence of non-equilibrium entropy and temperature for materials with internal variables

    Article • Archive for Rational Mechanics and Analysis, December 1978, Springer Science + Business Media

    Miroslav Silhavy

  124. On transformation laws for plastic deformations of materials with elastic range

    Article • Archive for Rational Mechanics and Analysis, June 1977, Springer Science + Business Media

    Miroslav Silhavy

  125. A theory of inelastic behavior of materials Part I. Ideal inelastic materials

    Article • Archive for Rational Mechanics and Analysis, June 1977, Springer Science + Business Media

    Miroslav Silhavy

  126. A theory of inelastic behavior of materials Part II. Inelastic materials

    Article • Archive for Rational Mechanics and Analysis, June 1977, Springer Science + Business Media

    Miroslav Silhavy

  127. Efficiency and the existence of entropy in classical thermodynamics

    Article • Archive for Rational Mechanics and Analysis, March 1977, Springer Science + Business Media

    Miroslav Silhavy

  128. Singular equilibrated stress fields for no-tension panels

    Article • Springer Science + Business Media

    Miroslav Silhavy

  129. On SO(n)-Invariant Rank 1 Convex Functions

    Article • Springer Science + Business Media

    Miroslav Silhavy

  130. Maxwell’s Relation for Isotropic Bodies

    Article • Springer Science + Business Media

    Miroslav Silhavy