Thermodynamic consistency and mathematical well-posedness in the theory of elastoplastic, granular, and porous materials

DOI10.1134/S0965542520040156zbMath1450.74022OpenAlexW3035652842MaRDI QIDQ2207550

Vladimir M. Sadovskii

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520040156

zbMATH Keywords

weak solutionvariational inequalityshock-capturing methoddissipative shock wave

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Thermodynamics in solid mechanics (74A15) Granularity (74E20) Finite difference methods applied to problems in solid mechanics (74S20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Numerical study of wave propagation in nonlinear dissipative material

Cites Work

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• Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations
• Mathematical modeling in mechanics of granular materials. With a foreword by Holm, Altenbach
• The numerical realization of a variational inequality in the dynamics of elastoplastic bodies
• Hyperbolic variational inequalities in problems of the dynamics of elastoplastic bodies
• Shock wave propagation in elastic-plastic media
• Symmetric hyperbolic equations in the nonlinear elasticity theory
• Symmetric hyperbolic linear differential equations

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