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On equality of relaxations for linear elastic strains

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Publication:1866592
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DOI10.3934/cpaa.2002.1.565zbMath1032.49019OpenAlexW1995658603MaRDI QIDQ1866592

Kewei Zhang

Publication date: 21 March 2004

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2002.1.565


zbMATH Keywords

linear elastic strainsquadratic rank-one convex envelopequadratic rank-one convex hullsemiconvex envelopessemiconvex hulls


Mathematics Subject Classification ID

Classical linear elasticity (74B05) Optimization of other properties in solid mechanics (74P10) Methods involving semicontinuity and convergence; relaxation (49J45) Analysis of microstructure in solids (74N15)


Related Items (5)

On the symmetric lamination convex and quasiconvex hull for the coplanar \(n\)-well problem in two dimensions ⋮ On the quasiconvex hull for a three-well problem in two dimensional linear elasticity ⋮ Bounds for effective strains of geometrically linear elastic multiwell model ⋮ An approximation theorem for sequences of linear strains and its applications ⋮ Characterizations of symmetric polyconvexity




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