Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set

DOI10.1051/cocv:2003032zbMath1072.49008OpenAlexW2167868331MaRDI QIDQ5465540

Antonio Gaudiello, Riccardo De Arcangelis, Luciano Carbone, Doina Cioranescu

Publication date: 9 August 2005

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

Full work available at URL: http://www.numdam.org/item?id=COCV_2004__10_1_53_0

zbMATH Keywords

homogenizationnonlinear elastomersgradient constrained variational problems

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Compliance or weight optimization in solid mechanics (74P05) Periodic optimal control problems (49N20)

Related Items (5)

Stochastic homogenization of nonconvex unbounded integral functionals with convex growth ⋮ On the relaxation of some classes of pointwise gradient constrained energies ⋮ Integral representation of unbounded variational functionals on Sobolev spaces ⋮ Homogenization of unbounded integrals with quasiconvex growth ⋮ Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Further results on a problem of homogenization with constraints on the gradient
• Homogenization of Dirichlet problems with nonnegative bounded constraints of the gradient
• An introduction to \(\Gamma\)-convergence
• On integral representation, relaxation and homogenization for unbounded functionals
• Unbounded functionals: Applications to the homogenization of gradient constrained problems
• On the relaxation of Dirichlet minimum problems for some classes of unbounded integral functionals
• A Lavrentieff phenomenon for problems of homogenization with constraints on the gradient
• On the unique extension problem for functionals of the calculus of variations
• An approach to the homogenization of nonlinear elastomers via the theory of unbounded functionals
• Weakly Differentiable Functions
• The Lavrentieff phenomenon And Different processes of Homogenization
• The mechanics of rubber elasticity
• Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set
• Convex Analysis

This page was built for publication: Homogenization of unbounded functionals and nonlinear elastomers. The case of the fixed constraints set