A Young measures approach to quasistatic evolution for a class of material models with nonconvex elastic energies

DOI10.1051/cocv:2008030zbMath1161.74010OpenAlexW2166240689MaRDI QIDQ3628296

Alice Fiaschi

Publication date: 19 May 2009

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/245433

zbMATH Keywords

existencestochastic processesprobability spacerate-independent processes

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Variational problems in a geometric measure-theoretic setting (49Q20) Existence of solutions of dynamical problems in solid mechanics (74H20) Existence of optimal solutions to problems involving randomness (49J55)

Related Items (4)

Optimal control of a rate-independent evolution equation via viscous regularization ⋮ Quasistatic evolution for a phase-transition model: a Young measure approach ⋮ A vanishing viscosity approach to a quasistatic evolution problem with nonconvex energy ⋮ Young-measure quasi-static damage evolution

Cites Work

• Globally stable quasistatic evolution in plasticity with softening
• Parametrized measures and variational principles
• A variational formulation of rate-independent phase transformations using an extremum principle
• Quasistatic crack growth in nonlinear elasticity
• Nonconvex energy minimization and dislocation structures in ductile single crystals
• Time-dependent systems of generalized Young measures
• Analysis of Concentration and Oscillation Effects Generated by Gradients
• Analysis of microstructure development in shearbands by energy relaxation of incremental stress potentials: Large-strain theory for standard dissipative solids
• RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY
• A Rate-Independent Approach to the Delamination Problem
• Existence results for a class of rate-independent material models with nonconvex elastic energies
• Semicontinuity problems in the calculus of variations
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