Optimal Thin Torsion Rods and Cheeger Sets

DOI10.1137/110828538zbMath1403.74069OpenAlexW1999290642MaRDI QIDQ2882326

Pierre Seppecher, Ilaria Lucardesi, Ilaria Fragalà, Guy Bouchitté

Publication date: 4 May 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5405c3c2779a06b7214ff14454d34a8484a0d423

zbMATH Keywords

dimension reductiondualityasymptotic analysisgamma-convergencecompliance

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Compliance or weight optimization in solid mechanics (74P05)

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Perspective functions: properties, constructions, and examples ⋮ On a degenerate problem in the calculus of variations ⋮ Michell trusses in two dimensions as a \(\Gamma \)-limit of optimal design problems in linear elasticity ⋮ Shape derivatives for minima of integral functionals ⋮ A Variational Method for Second Order Shape Derivatives ⋮ A Faber-Krahn inequality for the Cheeger constant of \(N\)-gons

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