Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\)
From MaRDI portal
Publication:1905671
DOI10.1007/BF00042459zbMath0863.73012MaRDI QIDQ1905671
Publication date: 10 January 1996
Published in: Journal of Elasticity (Search for Journal in Brave)
Vector and tensor algebra, theory of invariants (15A72) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (6)
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 \(AX + XA = C\) ⋮ On minimal representations for constitutive equations of anisotropic elastic materials ⋮ Families of continuous spin tensors and applications in continuum mechanics ⋮ Time rates of Hill's strain tensors
Cites Work
- Fonctions composees différentiables
- A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions I: Scalar-valued isotropic functions
- A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions II: Vector-valued isotropic functions, symmetric tensor-valued isotropic functions, and skew-symmetric tensor-valued isotropic functions
- Remarks on the continuity of the scalar coefficients in the representation \(H(A)=\alpha I+\beta A+\gamma A^ 2\) for isotropic tensor functions
- Differentiability properties of isotropic functions
- On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
- Differentiability of the remainder term in Taylor's formula
- Differentiability of the scalar coefficients in two representation formulae for isotropic tensor functions in two dimensions
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Smoothness of the scalar coefficients in the representation \(H(A)= \alpha I+ \beta A+ \gamma A^ 2\) for isotropic tensor functions of class \(C^ r\)
