The scientific life of Miroslav Šilhavý (1949–2025)

Day W Šilhavý M . Efficiency and the existence of entropy in classical thermodynamics. Arch Ration Mech An 1977; 66(1): 73–81.

Kratochvíl J Šilhavý M . A theory of inelastic behavior of materials. Part II. Inelastic materials. Arch Ration Mech An 1977; 65(2): 131–152.

Šilhavý M . Note on the existence of entropy in classical thermodynamics. Arch Mech 1977; 29(2): 289–298.

Šilhavý M . On transformation laws for plastic deformations of materials with elastic range. Arch Ration Mech An 1977; 63(2): 169–182.

Šilhavý M Kratochvíl J . A theory of inelastic behavior of materials Part I. Ideal inelastic materials. Arch Ration Mech An 1977; 65(2): 97–129.

Šilhavý M . A condition equivalent to the existence of non-equilibrium entropy and temperature for materials with internal variables. Arch Ration Mech An 1978; 68(4): 299–332.

Šilhavý M . How many constitutive functions are necessary to determine a thermoelastic material? Czech J Phys 1979; 29(9): 981–996.

Šilhavý M . On measures, convex cones, and foundations of thermodynamics I. Systems with vector-valued actions. Czech J Phys 1980; 30(8): 841–861.

Šilhavý M . On measures, convex cones, and foundations of thermodynamics II. Thermodynamic systems. Czech J Phys 1980; 30(9): 961–991.

Šilhavý M . On the second law of thermodynamics I. General framework. Czech J Phys 1982; 32(9): 987–1010.

Šilhavý M . On the second law of thermodynamics II. Inequalities for cyclic processes. Czech J Phys 1982; 32(10): 1073–1099.

Šilhavý M . On the Clausius inequality. Arch Ration Mech An 1983; 81(3): 221–243.

Beevers CE Šilhavý M . Asymptotic stability in nonlinear viscoelasticity. Q Appl Math 1984; 42(3): 281–294.

Šilhavý M . An admissibility criterion for shocks and propagating phase boundaries via thermodynamics of non-simple materials I. J Non-Equilib Thermodyn 1984; 9(3): 177–186.

Šilhavý M . An admissibility criterion for shocks and propagating phase boundaries via thermodynamics of non-simple materials II. J Non-Equilib Thermodyn 1984; 9(3): 187–200.

Šilhavý M . Thermostatics of non-simple materials. Czech J Phys 1984; 34(7): 601–621.

Šilhavý M . Phase transitions in non-simple bodies. Arch Ration Mech An 1985; 88(2): 135–161.

Šilhavý M . The existence of the flux vector and the divergence theorem for general Cauchy fluxes. Arch Ration Mech An 1985; 90(3): 195–212.

Šilhavý M . On the concepts of mass and linear momentum in Galilean thermodynamics. Czech J Phys 1987; 37(2): 133–157.

Beevers CE Šilhavý M . Asymptotic behaviour of classical solutions to the mixed initial-boundary value problem in finite thermo-viscoelasticity. Q Appl Math 1988; 46(2): 319–329.

Šilhavý M . Mass, internal energy, and Cauchy’s equations in frame-indifferent thermodynamics. Arch Ration Mech An 1989; 107(1): 1–22.

Samohýl I Šilhavý M . Mixture invariance and its applications. Arch Ration Mech An 1990; 109(4): 299–321.

Lucchesi M Šilhavý M . Il’yushin’s conditions in non-isothermal plasticity. Arch Ration Mech An 1991; 113(2): 121–163.

Nečas J Novotný A Šilhavý M . Global solution to the compressible isothermal multipolar fluid. J Math Anal Appl 1991; 162(1): 223–241.

Nečas J Šilhavý M . Multipolar viscous fluids. Q Appl Math 1991; 49(2): 247–265.

Šilhavý M . Cauchy’s stress theorem and tensor fields with divergences in L^p. Arch Ration Mech An 1991; 116(3): 223–255.

Nečas J Novotný A Šilhavý M . Global solution to the viscous compressible barotropic multipolar gas. Theor Comp Fluid Dyn 1992; 4(1): 1–11.

Šilhavý M . Energy principles and the equations of motion in Galilean thermomechanics. Czech J Phys 1992; 42(4): 363–374.

Lucchesi M Šilhavý M . Thermoplastic materials with combined hardening. Int J Plasticity 1993; 9(3): 291–315.

Šilhavý M . Note on Onsager’s relations. Q Appl Math 1994; 52(3): 469–479.

Šilhavý M . The mechanics and thermodynamics of continuous media. Springer, 1997.

Šilhavý M . Polar decomposition of rank 1 perturbations in two dimensions. Math Mech Solids 1998; 3(1): 107–112.

Šilhavý M . Convexity conditions for rotationally invariant functions in two dimensions. In: Sequeira A da Veiga HB Videman JH (eds) Applied nonlinear analysis. Springer, 1999, pp.513–530.

Šilhavý M . On isotropic rank 1 convex functions. R Soc Edinb Proc A 1999; 129(5): 1081–1105.

Šilhavý M . On the compatibility of wells. J Elasticity 1999; 55(1): 11–17.

Parry GP Šilhavý M . Invariant line integrals in the theory of defective crystals. Atti Accad Naz Lincei Cl Sci Fis Mat Nat Rend Lincei Mat Appl 2000; 11(2): 111–140.

Parry GP Šilhavý M . On rank one connectedness, for planar objective functions. J Elasticity 2000; 58(2): 177–189.

Šilhavý M . Differentiability properties of isotropic functions. Duke Math J 2000; 104(3): 367–373.

Šilhavý M . Differentiability properties of rotationally invariant functions. J Elasticity 2000; 58(3): 225–232.

Šilhavý M . Rank 1 convex hulls of isotropic functions in dimension 2 by 2. Math Bohem 2001; 126(2): 521–529.

Šilhavý M . Rank 1 perturbations of deformation gradients. Int J Solids Struct 2001; 38(6–7): 943–965.

Šilhavý M . Rotationally invariant rank 1 convex functions. Appl Math Opt 2001; 44(1): 1–5.

Padovani C Šilhavý M . Relaxed energy for transversely isotropic two-phase materials. J Elasticity 2002; 67(3): 187–204.

Šilhavý M . An O(n) invariant rank 1 convex function that is not polyconvex. Theor Appl 2002; 28–29: 325–336.

Šilhavý M . Monotonicity of rotationally invariant convex and rank 1 convex functions. R Soc Edinb Proc A 2002; 132(2): 419–435.

Šilhavý M . On SO(n)-invariant Rank 1 convex functions. J Elasticity 2003; 71(1–3): 235–246.

Šilhavý M . Semiconvexity of invariant functions of rectangular matrices. Calc Var Partial Dif 2003; 17(1): 75–84.

Šilhavý M . On semiconvexity properties of rotationally invariant functions in two dimensions. Czech Math J 2004; 54(3): 559–571.

Lucchesi M Šilhavý M Zani N . Singular equilibrated stress fields for no-tension panels. Ln App C M 2005; 23: 255–265.

Šilhavý M . Divergence measure fields and Cauchy’s stress theorem. Rend Semin Mat Univ Padova 2005; 113: 15–45.

Fosdick R Šilhavý M . Generalized Baker-Ericksen inequalities. J Elasticity 2006; 85(1): 39–44.

Lucchesi M Šilhavý M Zani N . A new class of equilibrated stress fields for no-tension bodies. J Mech Mater Struct 2006; 1(3): 503–539.

Šilhavý M . Fluxes across parts of fractal boundaries. Milan J Math 2006; 74(1): 1–45.

Bertram A Böhlke T Šilhavý M . On the rank 1 convexity of stored energy functions of physically linear stress-strain relations. J Elasticity 2007; 86(3): 235–243.

Lucchesi M Šilhavý M Zani N . A note on equilibrated stress fields for no-tension bodies under gravity. Q Appl Math 2007; 65(4): 605–624.

Šilhavý M . Ideally soft nematic elastomers. Netw Heterog Media 2007; 2(2): 279–311.

Šilhavý M . Zeros of the polyconvex hull of powers of the distance and s-polyconvexity. J Convex Anal 2007; 14(2): 318–344.

Lucchesi M Šilhavý M Zani N . Integration of measures and admissible stress fields for masonry bodies. J Mech Mater Struct 2008; 3(4): 675–696.

Lucchesi M Šilhavý M Zani N . On the balance equation for stresses concentrated on curves. J Elasticity 2008; 90(2): 209–223.

Padovani C Pasquinelli G Šilhavý M . Processes in masonry bodies and the dynamical significance of collapse. Math Mech Solids 2008; 13(7): 573–610.

Šilhavý M . Cauchy’s stress theorem for stresses represented by measures. Continuum Mech Therm 2008; 20(2): 75–96.

Šilhavý M . Normal currents: structure, duality pairings and div-curl lemmas. Milan J Math 2008; 76(1): 275–306.

Lucchesi M Šilhavý M Zani N . Equilibrated divergence measure stress tensor fields for heavy masonry bodies. Eur J Mech A Solids 2009; 28(2): 223–232.

Šilhavý M . The divergence theorem for divergence measure vectorfields on sets with fractal boundaries. Math Mech Solids 2009; 14(5): 445–455.

Lucchesi M Padovani C Šilhavý M . An energetic view on the limit analysis of normal bodies. Q Appl Math 2010; 68(4): 713–746.

Šilhavý M . Phase transitions with interfacial energy: convexity conditions and the existence of minimizers. CISM Int Cent Mech Sci Courses Lect 2010; 516: 177–239.

Šilhavý M . Phase transitions with interfacial energy: interface null Lagrangians, polyconvexity, and existence. IUTAM Bookser 2010; 21: 233–244.

Lucchesi M Šilhavý M Zani N . Integration of parametric measures and the statics of masonry panels. Ann Solid Struct Mech 2011; 2(1): 33–44.

Šilhavý M . Equilibrium of phases with interfacial energy: a variational approach. J Elasticity 2011; 105(1–2): 271–303.

Šilhavý M . The effective energy in the Allen-Cahn model with deformation. Interface Free Bound 2011; 13(2): 255–270.

Lucchesi M Šilhavý M Zani N . Equilibrium problems and limit analysis of masonry beams. J Elasticity 2012; 106(2): 165–188.

Lucchesi M Šilhavý M Zani N . On the choice of functions spaces in the limit analysis for masonry bodies. J Mech Mater Struct 2012; 7(8–9): 795–836.

Lucchesi M Šilhavý M Zani N . A direct approach to fiber and membrane reinforced bodies. Part I. Stress concentrated on curves for modelling fiber reinforced materials. Continuum Mech Therm 2013; 25(2–4): 537–558.

Padovani C Šilhavý M . Coaxiality of stress and strain in anisotropic no-tension materials. Meccanica 2013; 48(2): 487–489.

Šilhavý M . A direct approach to nonlinear shells with application to surface-substrate interactions. Math Mech Complex Syst 2013; 1(2): 211–232.

Šilhavý M . Phase equilibria in isotropic solids. Continuum Mech Therm 2013; 25(6): 795–802.

Lucchesi M Šilhavý M Zani N . A direct approach to fiber and membrane reinforced bodies. Part II. Membrane reinforced bodies. Continuum Mech Therm 2014; 26(3): 343–372.

Šilhavý M . Collapse mechanisms and the existence of equilibrium solutions for masonry bodies. Math Mech Solids 2014; 19(7): 821–831.

Šilhavý M . Mathematics of the Masonry–like model and limit analysis. CISM Int Cent Mech Sci Courses Lect 2014; 551: 29–69.

Ghiba ID Neff P Šilhavý M . The exponentiated Hencky-logarithmic strain energy. improvement of planar polyconvexity. Int J Non Linear Mech 2015; 71: 48–51.

Lucchesi M Pintucchi B Šilhavý M , et al. On the dynamics of viscous masonry beams. Continuum Mech Therm 2015; 27(3): 349–365.

Lucchesi M Šilhavý M Zani N . A direct approach to membrane reinforced bodies. In: Aita D Pedemonte O Williams K (eds) Masonry structures: between mechanics and architecture. Birkḧauser-Springer, 2015, pp.291–312.

Šilhavý M . Differentiability of the metric projection onto a convex set with singular boundary points. J Convex Anal 2015; 22(4): 969–997.

Šilhavý M . On the approximation theorem for structured deformations from BV(Ω). Math Mech Complex Syst 2015; 3(1): 83–100.

Šilhavý M . The convexity of C ↦ h (det C). Tech Mech 2015; 35(1): 60–61.

Bock I Jarušek J Šilhavý M . On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate. Nonlinear Anal Real World Appl 2016; 32: 111–135.

Šilhavý M . A remark on polyconvex functions with symmetry. J Elasticity 2016; 122(2): 255–260.

Padovani C Šilhavý M . On the derivative of the stress-strain relation in a no-tension material. Math Mech Solids 2017; 22(7): 1606–1618.

Šilhavý M . Higher gradient expansion for linear isotropic peridynamic materials. Math Mech Solids 2017; 22(6): 1483–1493.

Šilhavý M . Stresses in equilibrium configurations of inextensible nets with slack. Math Mech Solids 2017; 22(4): 649–665.

Šilhavý M . The general form of the relaxation of a purely interfacial energy for structured deformations. Math Mech Complex Syst 2017; 5(2): 191–215.

Šilhavý M . A variational approach to nonlinear electro-magneto-elasticity: convexity conditions and existence theorems. Math Mech Solids 2018; 23(6): 907–928.

Šilhavý M . Polyconvexity for functions of a system of closed differential forms. Calc Var Partial Dif 2018; 57(1): 26.

Šilhavý M . Consequences of the Coleman-Noll inequality for isotropic materials. ZAMM Z Angew Math Mech 2019; 99(6): e201800324.

Šilhavý M . Isotropic polyconvex electromagnetoelastic bodies. Math Mech Solids 2019; 24(3): 738–747.

Šilhavý M . The scientific work of Bernard D. Coleman. Math Mech Solids 2019; 24(2): 339–360.

Šilhavý M . Fractional vector analysis based on invariance requirements (critique of coordinate approaches). Continuum Mech Therm 2020; 32(1): 207–228.

Šilhavý M . A new approach to curvature measures in linear shell theories. Math Mech Solids 2021; 26(9): 1241–1263.

Šilhavý M . The Gauss-Green theorem for bounded vector fields with divergence measure on sets of finite perimeter. Indiana U Math J 2023; 72(1): 29–42.

Šilhavý M . Fractional strain tensor and fractional elasticity. J Elasticity 2024; 155(1–5): 425–447.