Convergence of variational approximation schemes for elastodynamics with polyconvex energy

DOI10.4171/ZAA/1498zbMath1286.35234arXiv1408.0820OpenAlexW2026990368MaRDI QIDQ2448598

Alexey Miroshnikov, Athanassios E. Tzavaras

Publication date: 2 May 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0820

zbMATH Keywords

nonlinear elasticitypolyconvexityvariational approximation scheme

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Second-order nonlinear hyperbolic equations (35L70) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

A discrete variational scheme for isentropic processes in polyconvex thermoelasticity

Cites Work

• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• Convexity conditions and existence theorems in nonlinear elasticity
• Some Open Problems in Elasticity

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