Michell trusses in two dimensions as a \(\Gamma \)-limit of optimal design problems in linear elasticity
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Publication:1688768
DOI10.1007/s00526-017-1266-xzbMath1381.49023arXiv1703.05989OpenAlexW2597978105MaRDI QIDQ1688768
Publication date: 11 January 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.05989
linear elasticityrelaxationoptimal design problemhomogenization methodcompliance optimizationMichell truss problem
Optimality conditions for problems involving partial differential equations (49K20) Linear elasticity with initial stresses (74B10) Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)
Related Items
Michell truss type theories as a \(\Gamma\)-limit of optimal design in linear elasticity, Shape optimization of light structures and the vanishing mass conjecture, Sparse basis pursuit for compliance minimization in the vanishing volume ratio limit, Nonlocal Basis Pursuit: Nonlocal Optimal Design of Conductive Domains in the Vanishing Material Limit, On a $\Gamma$-Limit of Willmore Functionals with Additional Curvature Penalization Term
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