On the convexity of the function C ↦ f(det C) on positive-definite matrices

DOI10.1177/1081286512466099zbMath1361.74009arXiv1209.5535OpenAlexW2058046467MaRDI QIDQ2875340

Stephan Lehmich, Johannes Lankeit, Patrizio Neff

Publication date: 14 August 2014

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5535

zbMATH Keywords

polyconvexityneo-Hooke model

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Miscellaneous inequalities involving matrices (15A45) Convexity of real functions of several variables, generalizations (26B25) Theory of constitutive functions in solid mechanics (74A20)

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Cites Work

• Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors
• Convexity conditions and existence theorems in nonlinear elasticity
• Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions.
• Inverse problems and derivatives of determinants
• Some Open Problems in Elasticity
• Unnamed Item

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