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

DOI10.1007/s10659-018-9682-5zbMath1411.74021OpenAlexW2882266287MaRDI QIDQ2633448

M. H. B. M. Shariff

Publication date: 8 May 2019

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

Full work available at URL: https://doi.org/10.1007/s10659-018-9682-5

zbMATH Keywords

symmetric tensorsindependent invariants

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (5)

Construction of invariant relations of \(n\) symmetric second-order tensors ⋮ A nonlinear spectral rate-dependent constitutive equation for electro-viscoelastic solids ⋮ A nonlinear electro-elastic model with residual stresses and a preferred direction ⋮ A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies ⋮ Nonlinear rate-dependent spectral constitutive equation for viscoelastic solids with residual stresses

Cites Work

• Seven invariants are needed to characterize general orthotropic elastic materials: A comment on ``Nonlinear orthotropic elasticity: only six invariants are independent
• On the independence of strain invariants of two preferred direction nonlinear elasticity
• On the number of invariants in the strain energy density of an anisotropic nonlinear elastic material with two material symmetry directions
• Erratum to: ``On the number of invariants in the strain energy density of an anisotropic nonlinear elastic material with two material symmetry directions
• Nonlinear orthotropic elasticity: only six invariants are independent
• Nonlinear transversely isotropic elastic solids: an alternative representation
• Constitutive modelling of passive myocardium: a structurally based framework for material characterization
• OUP accepted manuscript
• The number of independent invariants of an n-preferred direction anisotropic solid
• Minimal Rotationally Invariant Bases for Hyperelasticity
• On planar biaxial tests for anisotropic nonlinearly elastic solids. A continuum mechanical framework
• Tensor Algebra and Tensor Analysis for Engineers

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