Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional case

DOI10.1017/S0308210516000275zbMath1369.74016arXiv1507.00266OpenAlexW2266240621MaRDI QIDQ4977419

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

Publication date: 16 August 2017

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/1507.00266

zbMATH Keywords

nonlinear elasticity polyconvexity quasi-convexity rank-one convexity Morrey's conjecture isochoric energies

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Convexity of real functions of several variables, generalizations (26B25)

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