Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity

DOI10.1016/j.crma.2016.09.014zbMath1348.74059arXiv1611.06885OpenAlexW2530577461MaRDI QIDQ338077

Gilles A. Francfort, Antoine Gloria

Publication date: 3 November 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.06885

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (7)

Quantitative nonlinear homogenization: control of oscillations ⋮ Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ A two-dimensional labile aether through homogenization ⋮ Homogenization of weakly coercive integral functionals in three-dimensional linear elasticity ⋮ Quantitative homogenization in nonlinear elasticity for small loads ⋮ Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems

Cites Work

• Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity
• Homogenization of nonconvex integral functionals and cellular elastic materials
• Laminations in linearized elasticity: The isotropic non-very strongly elliptic case
• Loss of ellipticity through homogenization in linear elasticity

This page was built for publication: Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity