New counterexamples to the cell formula in nonconvex homogenization
From MaRDI portal
Publication:982267
DOI10.1007/s00205-009-0226-9zbMath1304.74052OpenAlexW2095100672WikidataQ125055246 ScholiaQ125055246MaRDI QIDQ982267
Marco Barchiesi, Antoine Gloria
Publication date: 6 July 2010
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-009-0226-9
Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (5)
Reinforced elastomers: homogenization, macroscopic stability and relaxation ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Quantitative homogenization in nonlinear elasticity for small loads ⋮ Asymptotic rigidity of layered structures and its application in homogenization theory ⋮ Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems
Cites Work
- The failure of rank-one connections
- Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity
- A variational approach to the local character of \(G\)-closure: the convex case
- Fine phase mixtures as minimizers of energy
- Homogenization of nonconvex integral functionals and cellular elastic materials
- New examples of quasiconvex functions
- Mathematical derivation of a rubber-like stored energy functional
- Loss of polyconvexity by homogenization: a new example
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- A General Integral Representation Result for Continuum Limits of Discrete Energies with Superlinear Growth
- Direct methods in the calculus of variations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: New counterexamples to the cell formula in nonconvex homogenization
