Derivatives of the stretch and rotation tensors

DOI10.1007/BF00131659zbMath0805.73003MaRDI QIDQ1330748

Yi-Chao Chen, Lewis T. Wheeler

Publication date: 10 August 1994

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

zbMATH Keywords

finite straindeformation gradientpolar decompositiontangent spacesirrational operations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

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Cites Work

• On the derivatives of the stretch and rotation with respect to the deformation gradient
• Rates of stretch tensors
• On the derivative of the square root of a tensor and Guo's rate theorems
• An introduction to continuum mechanics
• Determination of the stretch and rotation in the polar decomposition of the deformation gradient