Young-Measure approximations for elastodynamics with non-monotone stress-strain relations

DOI10.1051/m2an:2004019zbMath1130.74383OpenAlexW2101592414MaRDI QIDQ5315460

Marc Oliver Rieger, Carsten Carstensen

Publication date: 8 September 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2004__38_3_397_0

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Second-order nonlinear hyperbolic equations (35L70) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Analysis of microstructure in solids (74N15)

Related Items

Young measure solutions for a fourth-order wave equation with variable growth ⋮ Existence, uniqueness and blowup for hyperbolic equations with nonstandard growth conditions ⋮ Thermodynamics of viscoelastic solids, its Eulerian formulation, and existence of weak solutions ⋮ Two-phase solutions for one-dimensional non-convex elastodynamics ⋮ Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics ⋮ Young measure solutions for the wave equation with \(p(x, t)\)-Laplacian: existence and blow-up ⋮ Weak and Young Measure Solutions for Hyperbolic Initial Boundary Value Problems of Elastodynamics in the Orlicz--Sobolev Space Setting ⋮ Newton's second law with a semiconvex potential ⋮ Effective relaxation for microstructure simulations: algorithms and applications

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