A note on Rivlin's identities and their extension

DOI10.1007/s10659-004-5903-1zbMath1060.74006OpenAlexW2035363414MaRDI QIDQ1773942

Yi-Chao Chen, Guan-Suo Dui

Publication date: 28 April 2005

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

Full work available at URL: https://doi.org/10.1007/s10659-004-5903-1

zbMATH Keywords

tensor identitiesCaley-Hamilton theorem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

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An approach to isotropic tensor functions and their derivatives via omega matrix calculus

Cites Work

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• Derivatives of the principal invariants of a second-order tensor
• On the derivative of the square root of a tensor and Guo's rate theorems
• On the derivatives of the principal invariants of a second-order tensor
• On the gradients of the principal invariants of a second-order tensor
• The tensor equation \(AX +XA = \Phi (A,H)\), with applications to kinematics of continua
• The generalized Cayley-Hamilton theorem in n dimensions