Homogenization of oscillating boundaries and applications to thin films
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Publication:5941776
DOI10.1007/BF02790260zbMath0983.49008arXivmath/0010011MaRDI QIDQ5941776
Publication date: 28 April 2002
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0010011
homogenization\(\Gamma\)-limit functionalnonconvex energiesoscillating boundariesthin filmsvariational model
Nonlinear elasticity (74B20) Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)
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Cites Work
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- Homogenization of nonconvex integral functionals and cellular elastic materials
- Convex analysis and measurable multifunctions
- An introduction to \(\Gamma\)-convergence
- Heterogeneous thin films of martensitic materials
- The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
- A theory of thin films of martensitic materials with applications to microactuators
- Boundary homogenization and Neumann boundary value problem
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
- Thin elastic and periodic plates
- A new model for thin plates with rapidly varying thickness. II. A convergence proof
- 3D-2D asymptotic analysis of an optimal design problem for thin films
- Combined effects of homogenization and singular perturbations in elasticity.
- Analysis of Concentration and Oscillation Effects Generated by Gradients
- Thin films with many small cracks
- Brittle thin films
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