Convergence of solutions of kinetic variational inequalities in the rate-independent quasi-static limit

DOI10.1016/j.jmaa.2008.07.077zbMath1147.49004OpenAlexW2082255209WikidataQ59901904 ScholiaQ59901904MaRDI QIDQ950494

Alexander Mielke, Adrien Petrov, João A. C. Martins

Publication date: 22 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.077

zbMATH Keywords

differential inclusionshardeningelastoplasticityvariational formulationsslow time scalerate-independent processesquasi-static problems

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Stability of dynamical problems in solid mechanics (74H55) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

The notions of inertial balanced viscosity and inertial virtual viscosity solution for rate-independent systems, Rate-independent damage in thermo-viscoelastic materials with inertia, A vanishing-inertia analysis for finite-dimensional rate-independent systems with nonautonomous dissipation and an application to soft crawlers

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