A view on anisotropic finite hyperelasticity

DOI10.1016/S0997-7538(02)01253-6zbMath1026.74013MaRDI QIDQ1403951

Paul Steinmann, Andreas Menzel

Publication date: 20 August 2003

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

zbMATH Keywords

stress tensorsright Cauchy-Green tensorFinger tensortangent operatorsanisotropic finite hyperelasticityfree Helmholtz energy densityrepresentation of isotropic tensor functionsstructural second-order tensors

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10)

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Cites Work

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• On the rotated stress tensor and the material version of the Doyle- Ericksen formula
• Applications of tensor functions in solid mechanics
• Finite element formulations for hyperelastic transversely isotropic biphasic soft tissues
• A covariant constitutive description of anisotropic nonlinear elasticity
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• On Irreducible Representations for Isotropic Scalar Functions
• Aspects of the formulation and finite element implementation of large strain isotropic elasticity

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