A \(\Gamma\)-convergence result for optimal design problems
DOI10.5802/crmath.375zbMath1501.74062OpenAlexW4300978909MaRDI QIDQ2080957
Publication date: 12 October 2022
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/crmath.375
energy minimizationenergy functionallower semicontinuityoptimal material distributioncross-quasiconvexitytwo-phase elastic mixture
Energy minimization in equilibrium problems in solid mechanics (74G65) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Optimal design of fractured media with prescribed macroscopic strain
- An introduction to \(\Gamma\)-convergence
- Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
- 3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization
- Relaxation for optimal design problems with non-standard growth
- 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
- On the lower semicontinuity of supremal functional under differential constraints
- $\Gamma$-Convergence of Power-Law Functionals, Variational Principles in $L^{\infty},$ and Applications
- 3D-2D asymptotic analysis of an optimal design problem for thin films
- Dielectric breakdown: optimal bounds
- A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting
- Γ-convergence and absolute minimizers for supremal functionals
- Power-Law Approximation under Differential Constraints
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