Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations

DOI10.1134/S0965542516040102zbMath1429.74060MaRDI QIDQ327248

A. G. Kulikovskij, A. P. Chugainova

Publication date: 19 October 2016

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

zbMATH Keywords

conservation lawsshock wavestress relaxationRiemann wave

Mathematics Subject Classification ID

Shocks and related discontinuities in solid mechanics (74J40) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05)

Related Items (8)

Structures of non-classical discontinuities in solutions of hyperbolic systems of equations ⋮ Thermodynamic consistency and mathematical well-posedness in the theory of elastoplastic, granular, and porous materials ⋮ Hamiltonian operators in differential algebras ⋮ Simple one-dimensional waves in an incompressible anisotropic elastoplastic medium with hardening ⋮ Shock waves in an incompressible anisotropic elastoplastic medium with hardening and their structures ⋮ A self-similar wave problem in a Prandtl-Reuss elastoplastic medium ⋮ Problem of the motion of an elastic medium formed at the solidification front ⋮ Shock waves in anisotropic cylinders

Cites Work

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• Shock waves in elastoplastic media with the structure defined by the stress relaxation process
• Generalized solutions in the theory of plasticity
• Simple waves in Prandtl-Reuss equations
• The overturning of Riemann waves in elastoplastic media with hardening
• Shock wave propagation in elastic-plastic media

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