Detecting stress fields in an optimal structure. I. Two-dimensional case and analyzer

DOI10.1007/s00158-003-0327-2zbMath1243.74162OpenAlexW2056201786MaRDI QIDQ438446

Ismail Kucuk, Cherkaev, Andrej V.

Publication date: 31 July 2012

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-003-0327-2

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Optimization problems in solid mechanics (74P99)

Related Items (5)

Phase transformations surfaces and exact energy lower bounds ⋮ Marginal material stability ⋮ Explicit relaxation of a two-well Hadamard energy ⋮ Detecting stress fields in an optimal structure. II. Three-dimensional case ⋮ Optimal control of an elastically connected rectangular plate--membrane system

Cites Work

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• The cavity of the optimal shape under the shear stresses
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• Bounds and extremal microstructures for two-component composites: a unified treatment based on the translation method
• Invariant properties of the stress in plane elasticity and equivalence classes of composites
• Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials
• Anisotrophy of the Vigdergauz Microstructure
• Topics in the mathematical modelling of composite materials

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