Spatial heterogeneity in 3D-2D dimensional reduction
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Publication:3365392
DOI10.1051/cocv:2004031zbMath1085.49015arXivmath/0604556OpenAlexW2084871929MaRDI QIDQ3365392
Jean-François Babadjian, Gilles A. Francfort
Publication date: 23 January 2006
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0604556
Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Thin films (74K35) Methods involving semicontinuity and convergence; relaxation (49J45) Membranes (74K15)
Related Items (5)
A Riemannian approach to the membrane limit in non-Euclidean elasticity ⋮ A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting ⋮ 3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization ⋮ Asymptotic variational analysis of incompressible elastic strings ⋮ Dimensional reduction for energies with linear growth involving the bending moment
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- Equi-integrability results for 3D-2D dimension reduction problems
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
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