Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures
DOI10.1007/s00245-023-10093-3arXiv2304.02477OpenAlexW4390744979MaRDI QIDQ6139958
Paul Hüttl, Harald Garcke, Patrik Knopf, Christian Kahle
Publication date: 19 January 2024
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.02477
linear elasticityeigenvalue problemstructural optimizationphase-field modelssharp-interface limitshape and topology optimizationformally matched asymptotics
General topics in linear spectral theory for PDEs (35P05) Classical linear elasticity (74B05) Asymptotic expansions of solutions to PDEs (35C20) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) PDEs in connection with mechanics of deformable solids (35Q74) Variational methods for eigenvalues of operators (49R05)
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