On SO(\(n\))-invariant rank 1 convex functions

DOI10.1023/B:ELAS.0000005544.24267.8dzbMath1077.49021OpenAlexW4249215743MaRDI QIDQ1431605

Šilhavý, Miroslav

Publication date: 11 June 2004

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:elas.0000005544.24267.8d

zbMATH Keywords

rotational invariancerank 1 convex functions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Energy minimization in equilibrium problems in solid mechanics (74G65)

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Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands ⋮ Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity ⋮ The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity ⋮ The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers ⋮ Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split

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