Topology optimization of three-dimensional linear elastic structures with a constraint on “perimeter”

DOI10.1016/S0045-7949(98)00312-5zbMath0992.74058OpenAlexW2062921091MaRDI QIDQ4513733

No author found.

Publication date: 12 March 2001

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7949(98)00312-5

zbMATH Keywords

homogenizationfinite element discretizationfirst-order methodtopology optimizationaugmented Lagrangianstructural compliancematerial distribution approachoptimization criterionisoperimetric constraint on volumenecessary conditions for optimumthree-dimensional linear elastic structure

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15)

Related Items

Topology optimization of elastic continua using restriction., Characterization of cuttlebone for a biomimetic design of cellular structures, A new three-dimensional topology optimization method based on moving morphable components (MMCs), A multiscale homogenization procedure combining the fabric tensor with a natural neighbour meshless method, Variational approach to relaxed topological optimization: closed form solutions for structural problems in a sequential pseudo-time framework, Large-scale topology optimization in 3D using parallel computing, Parametric structural shape \& topology optimization with a variational distance-regularized level set method, Explicit three dimensional topology optimization via moving morphable void (MMV) approach