The explicit determination of the logarithm of a tensor and its derivatives

DOI10.1007/s10659-008-9169-xzbMath1159.74323OpenAlexW2065394517MaRDI QIDQ1013573

Chandrashekhar Jog

Publication date: 20 April 2009

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

Full work available at URL: https://doi.org/10.1007/s10659-008-9169-x

zbMATH Keywords

derivativeslogarithm of a tensor

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20) Elastic materials (74B99)

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Cites Work

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• Unified explicit basis-free expressions for time rate and conjugate stress of an arbitrary Hill's strain
• Two remarks on matrix exponentials
• An introduction to continuum mechanics
• Approximating the Logarithm of a Matrix to Specified Accuracy
• On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations

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