Time rates of Hill's strain tensors

DOI10.1023/A:1007603221060zbMath0955.74005OpenAlexW2460470732MaRDI QIDQ1976254

Zhujiang Shen, QingWen Ren, Guan-Suo Dui

Publication date: 19 July 2000

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

Full work available at URL: https://doi.org/10.1023/a:1007603221060

zbMATH Keywords

double coalescencestretch tensorbasis-free time rate formulaeHill's strain tensorstriple coalescence

Mathematics Subject Classification ID

Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (5)

Some basis-free formulae for the time rate and conjugate stress of logarithmic strain tensor ⋮ Basis-free expressions for derivatives of a subclass of nonsymmetric isotropic tensor functions ⋮ Basis free expressions for the stress rate of isotropic elastic materials in the cases of coalescent principal stretches ⋮ On the objective corotational rates of Eulerian strain measures ⋮ Derivatives on the isotropic tensor functions

Cites Work

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• Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill's strain
• On the invariant representation of spin tensors with applications
• Strain rates and material spins
• A basis-free formula for time rate of Hill's strain tensors
• Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\)
• Some new representations of spin tensors
• On constitutive inequalities for simple materials. I
• The derivative of a tensor-valued function of a tensor
• Smoothness of the Scalar Coefficients in Representations of Isotropic Tensor-Valued Functions
• Differentiability of the scalar coefficients in two representation formulae for isotropic tensor functions in two dimensions

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