Basis free expressions for the stress rate of isotropic elastic materials in the cases of coalescent principal stretches

DOI10.1016/j.ijsolstr.2009.10.021zbMath1183.74021OpenAlexW1974902506MaRDI QIDQ960795

B. E. Eshmatov

Publication date: 29 March 2010

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2009.10.021

zbMATH Keywords

nonlinear continuum mechanicsstress ratebasis-free expressioncoalescent principal stretches

Mathematics Subject Classification ID

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

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
• Some basis-free expressions for stresses conjugate to Hill's strains through solving the tensor equation \(AX + XA = C\)
• The material time derivative of logarithmic strain
• The stress conjugate to logarithmic strain
• A basis-free formula for time rate of Hill's strain tensors
• Basis-free representations for the stress rate of isotopic materials
• Time rates of Hill's strain tensors
• Conjugate stresses to two-point deformation tensors
• On constitutive inequalities for simple materials. I
• A theorem of tensor calculus and its application to isotropic elasticity

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