Remarks on the continuity of the scalar coefficients in the representation \(H(A)=\alpha I+\beta A+\gamma A^ 2\) for isotropic tensor functions

DOI10.1007/BF00040765zbMath0816.53006OpenAlexW2089838325MaRDI QIDQ1341760

Chi-Sing Man

Publication date: 3 July 1995

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

Full work available at URL: https://doi.org/10.1007/bf00040765

zbMATH Keywords

continuitydifferentiabilityeigenvaluessymmetric functionssymmetric second-order tensors

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Crystalline structure (74E15)

Related Items (7)

Smoothness of the Scalar Coefficients in Representations of Isotropic Tensor-Valued Functions ⋮ Representing Tensor Functions with a Cholesky Transform ⋮ Some basis-free expressions for stresses conjugate to Hill's strains through solving the tensor equation \(AX + XA = C\) ⋮ Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\) ⋮ On minimal representations for constitutive equations of anisotropic elastic materials ⋮ Families of continuous spin tensors and applications in continuum mechanics ⋮ Relations between material, intermediate and spatial generalized strain measures for anisotropic multiplicative inelasticity

Cites Work

• Differentiability properties of isotropic functions
• The derivative of a tensor-valued function of a tensor
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