most citedThe corotational stability postulate: positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticity

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math.CA2016

Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity

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

We study convexity properties of energy functions in plane nonlinear elasticity of incompressible materials and show that rank-one convexity of an objective and isotropic elastic e…