The Derivative of Isotropic Tensor Functions, Elastic Moduli and Stress Rate: I. Eigenvalue Formulation

DOI10.1177/1081286504038672zbMath1066.74011OpenAlexW2062218371MaRDI QIDQ4671803

Yi-Chao Chen, Guan-Suo Dui

Publication date: 26 April 2005

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

Full work available at URL: https://doi.org/10.1177/1081286504038672

zbMATH Keywords

symmetric tensorsspectral decompositioncompressible elastic material

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20)

Related Items (3)

Isotropic hyperelasticity in principal stretches: explicit elasticity tensors and numerical implementation ⋮ Derivatives on the isotropic tensor functions ⋮ Higher derivatives and the inverse derivative of a tensor-valued function of a tensor

Cites Work

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• Twirl tensors and the tensor equation \(AX-XA=C\)
• Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
• Some properties of the set of fourth-order tensors, with application to elasticity
• Conjugate stress of strain \(E^{(3)}= \frac 13 (U^3-I)\)
• On constitutive inequalities for simple materials. I
• Acceleration waves in inhomogeneous isotropic elastic bodies
• The derivative of a tensor-valued function of a tensor
• Computation of isotropic tensor functions
• Derivative of a function of a nonsymmetric second-order tensor
• Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids

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