Conjugate stress and tensor equation \(\sum{}^ m_{r=1} U^{m- r}XU^{r-1}=C\)

DOI10.1016/0020-7683(92)90194-XzbMath0763.73003MaRDI QIDQ1205006

Chi-Sing Man, Zhongheng Guo

Publication date: 1 April 1993

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

zbMATH Keywords

representation theoremisotropic tensor functionsHill's principal axis methodSeth-Hill class

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Theory of constitutive functions in solid mechanics (74A20)

Related Items (6)

Some basis-free expressions for stresses conjugate to Hill's strains through solving the tensor equation \(AX + XA = C\) ⋮ Basis-free expressions for families of objective strain tensors, their rates, and conjugate stress tensors ⋮ Hyper-elastic constitutive equations of conjugate stresses and strain tensors for the Seth-Hill strain measures ⋮ Relations between material, intermediate and spatial generalized strain measures for anisotropic multiplicative inelasticity ⋮ The tensor equation \(AX +XA = \Phi (A,H)\), with applications to kinematics of continua ⋮ On a New Concept and Foundations of an Arbitrary Reference Configuration (ARC) Theory and Formulation for Computational Finite Deformation Applications—Part I: Elasticity

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