Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticity

DOI10.1017/prm.2019.35zbMath1462.74024arXiv1903.00508OpenAlexW2949526847WikidataQ127773324 ScholiaQ127773324MaRDI QIDQ4965367

Jendrik Voss, Ionel-Dumitrel Ghiba, Patrizio Neff, Robert J. Martin

Publication date: 1 March 2021

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00508

zbMATH Keywords

microstructurepolyconvexityrank-one quasiconvexityincompressible nonlinear elasticityquasiconvex envelope

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (2)

A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel sets ⋮ Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split

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