Fréchet differentiation of the stretch and rotation tensors

DOI10.1177/1081286510387972zbMath1269.74007OpenAlexW2325564249MaRDI QIDQ2842435

James Casey, Lewis T. Wheeler

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286510387972

zbMATH Keywords

Fréchet derivativeFréchet differentialrotation tensorstretch tensors

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Kinematics of deformation (74A05)

Cites Work

• Note on the applications of the Fréchet derivative
• 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
• On infinitesimal deformation measures
• Derivatives of the stretch and rotation tensors
• Derivatives and rates of the stretch and rotation tensors
• An introduction to continuum mechanics
• Determination of the stretch and rotation in the polar decomposition of the deformation gradient
• Derivatives of the Rotation and Stretch Tensors
• Some Remarks on Variations and Differentials
• On the derivative of some tensor-valued functions

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