On the number of invariants in the strain energy density of an anisotropic nonlinear elastic material with two material symmetry directions

DOI10.1007/S10659-017-9642-5zbMath1387.74014OpenAlexW4231693864MaRDI QIDQ1702862

Gabriel Lopes da Rocha, Adair Roberto Aguiar

Publication date: 1 March 2018

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-017-9642-5

zbMATH Keywords

composite materialbiological tissueintegrity basisisotropic functioncompressible nonlinear elasticity

Mathematics Subject Classification ID

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

Related Items (1)

The number of independent invariants for $n$ symmetric second order tensors

Cites Work

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• Seven invariants are needed to characterize general orthotropic elastic materials: A comment on ``Nonlinear orthotropic elasticity: only six invariants are independent
• On transversely isotropic, orthotropic and relative isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. I, II, III, IV, V
• Nonlinear orthotropic elasticity: only six invariants are independent

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