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On the explicit determination of the polar decomposition in \(n\)-dimensional vector spaces

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Publication:1870163
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DOI10.1023/A:1021253906202zbMath1026.74014MaRDI QIDQ1870163

Chandrashekhar Jog

Publication date: 11 May 2003

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


zbMATH Keywords

polar decompositionexplicit determinationsquare roots of tensors


Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Elastic materials (74B99)


Related Items (7)

The exponentiated Hencky-logarithmic strain energy. III: Coupling with idealized multiplicative isotropic finite strain plasticity ⋮ The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity ⋮ \(\mathbf{U} = \mathbf{C}^{1/2}\) and its invariants in terms of \(\mathbf{C}\) and its invariants ⋮ The accurate inversion of Vandermonde matrices ⋮ Derivatives of the stretch, rotation and exponential tensors in \(n\)-dimensional vector spaces ⋮ A direct proof of uniqueness of square-root of a positive semi-definite tensor ⋮ Quadratic-stretch elasticity






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