A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel sets
DOI10.1017/prm.2021.9zbMath1497.49019arXiv2009.09690OpenAlexW4210302542MaRDI QIDQ5070598
Robert J. Martin, Patrizio Neff, Jendrik Voss, Ionel-Dumitrel Ghiba
Publication date: 13 April 2022
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/2009.09690
quasiconvexitynonlinear elasticitycalculus of variationspolyconvexityhyperelasticityrank-one convexityweak lower semi-continuityisotropic sets
Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions for free problems in two or more independent variables (49K10)
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