The computational modeling of nonequilibrium thermodynamics of the martensitic transformations
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[1] Avner Friedman,et al. Systems of nonlinear wave equations with nonlinear viscosity. , 1988 .
[2] Jindřich Nečas,et al. Introduction to the Theory of Nonlinear Elliptic Equations , 1986 .
[3] Petr Kloucek,et al. The relaxation of non-quasiconvex variational integrals , 1999, Numerische Mathematik.
[4] D. French,et al. Behaviour in the large on numerical solutions to one-dimensional nonlinear viscoelasticity by continuous time Galerkin methods , 1991 .
[5] L. Simon. Asymptotics for a class of non-linear evolution equations, with applications to geometric problems , 1983 .
[6] R. D. James,et al. Proposed experimental tests of a theory of fine microstructure and the two-well problem , 1992, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.
[7] R. Kohn,et al. Branching of twins near an austenite—twinned-martensite interface , 1992 .
[8] James K. Knowles,et al. On the driving traction acting on a surface of strain discontinuity in a continuum , 1990 .
[9] James K. Knowles,et al. Nucleation, Kinetics and Admissibility Criteria for Propagating Phase Boundaries , 1993 .
[10] J. K. Knowles,et al. Kinetic relations and the propagation of phase boundaries in solids , 1991 .
[11] Mitchell Luskin,et al. The computation of the austenitic-martensitic phase transition , 1989 .
[12] Michel Chipot,et al. Numerical approximations in variational problems with potential wells , 1992 .
[13] J. Serrin. Conceptual analysis of the classical second laws of thermodynamics , 1979 .
[14] J. Ball. A version of the fundamental theorem for young measures , 1989 .
[15] G. Lyubarskii. Chapter VII – Second Order Phase Transitions , 1960 .
[16] G. Dahlquist. Convergence and stability in the numerical integration of ordinary differential equations , 1956 .
[17] E. Zeidler. Nonlinear functional analysis and its applications , 1988 .
[18] D. Kinderlehrer,et al. Remarks about Equilibrium Configurations of Crystals , 1987 .
[19] J. Ball,et al. W1,p-quasiconvexity and variational problems for multiple integrals , 1984 .
[20] Robert V. Kohn,et al. Relaxation and regularization of nonconvex variational problems , 1992 .
[21] S. Timoshenko,et al. Theory of elasticity , 1975 .
[22] Mitchell Luskin,et al. On the computation of crystalline microstructure , 1996, Acta Numerica.
[23] Charles Collins,et al. Computation of Twinning , 1993 .
[24] M. Brünig. Macroscopic theory and nonlinear finite element analysis of micromechanics of single crystals at finite strains , 1996 .
[25] Philip Holmes,et al. On the dynamics of fine structure , 1991 .
[26] Mitchell Luskin,et al. Optimal order error estimates for the finite element approximation of the solution of a nonconvex variational problem , 1991 .
[27] J. Ball,et al. Fine phase mixtures as minimizers of energy , 1987 .
[28] Mitchell Luskin,et al. Approximation of a laminated microstructure for a rotationally invariant, double well energy density , 1996 .
[29] G. Friesecke,et al. Dynamics as a mechanism preventing the formation of finer and finer microstructure , 1996 .
[30] David R. Owen,et al. A mathematical foundation for thermodynamics , 1974 .
[31] Mitchell Luskin,et al. Numerical approximation of the solution of variational problem with a double well potential , 1991 .
[32] R. Rannacher,et al. Simple nonconforming quadrilateral Stokes element , 1992 .
[33] L. Guttman. Crystal structures and transformations in indium-thallium solid solutions , 1950 .
[34] J. Ericksen,et al. Constitutive theory for some constrained elastic crystals , 1986 .
[35] James K. Knowles,et al. Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction , 1994 .
[36] P. Holmes,et al. Energy minimization and the formation of microstructure in dynamic anti-plane shear , 1992 .
[37] Mitchell Luskin,et al. Computational modeling of the martensitic transformation with surface energy , 1994 .
[38] Robert L. Pego,et al. Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability , 1987 .
[39] F. Falk. Model free energy, mechanics, and thermodynamics of shape memory alloys , 1980 .