On voids of minimum stress concentration

DOI10.1016/0020-7683(82)90018-XzbMath0468.73021OpenAlexW2094520086MaRDI QIDQ1156511

Isaak A. Kunin, Lewis T. Wheeler

Publication date: 1982

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(82)90018-x

zbMATH Keywords

sufficient conditionisotropic elastic mediumloaded at infinityclass of ellipsoidsgiven stressesminimizing void shapesurface principal stresses be constant and equal

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Minimal surfaces and optimization (49Q05) Optimization problems in solid mechanics (74P99)

Related Items (9)

Inhomogeneities of Minimum Stress Concentration ⋮ Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure ⋮ Isogeometric shape optimization for quasi-static processes ⋮ On an inverse thermo-elasticity problem for an infinite medium containing a cavity of unknown shape ⋮ On rigid inclusions of minimum stress concentration ⋮ Profiles of minimum stress concentration for antiplane deformation of an elastic solid ⋮ Structural shape optimization - A survey ⋮ Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals ⋮ A three-dimensional inverse problem for inhomogeneities in elastic solids

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