3D-2D analysis for the optimal elastic compliance problem

DOI10.1016/J.CRMA.2007.10.039zbMath1127.74033OpenAlexW2033182448MaRDI QIDQ2465799

Ilaria Fragalà, Pierre Seppecher, Guy Bouchitté

Publication date: 8 January 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.10.039

zbMATH Keywords

optimality conditionslimit problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Compliance or weight optimization in solid mechanics (74P05)

Related Items (3)

3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization ⋮ The optimal compliance problem for thin torsion rods: a 3D-1D analysis leading to Cheeger-type solutions ⋮ Structural optimization of thin elastic plates: the three-dimensional approach

Cites Work

• Optimality conditions for mass design problems and applications to thin plates
• Optimal Design of Thin Plates by a Dimension Reduction for Linear Constrained Problems
• Approximation of Young measures by functions and application to a problem of optimal design for plates with variable thickness
• Shape optimization by the homogenization method
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