Closure and Commutability Results for $\Gamma$-Limits and the Geometric Linearization and Homogenization of Multiwell Energy Functionals

DOI10.1137/13093738XzbMath1301.49032arXiv1308.0963OpenAlexW2088197917MaRDI QIDQ2927861

Bernd Schmidt, Martin Jesenko

Publication date: 4 November 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0963

zbMATH Keywords

homogenization\(\Gamma\)-convergencegeometric linearizationmultiwell energies

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (5)

Closure result for \(\Gamma\)-limits of functionals with linear growth ⋮ Variational linearization of pure traction problems in incompressible elasticity ⋮ Homogenization and the limit of vanishing hardening in Hencky plasticity with non-convex potentials ⋮ Geometric linearization of theories for incompressible elastic materials and applications ⋮ Quantitative homogenization in nonlinear elasticity for small loads

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