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Derivatives and rates of the stretch and rotation tensors

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Publication:1581043
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DOI10.1023/A:1007663620943zbMath0965.74008OpenAlexW214881751MaRDI QIDQ1581043

Luciano Rosati

Publication date: 14 September 2000

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

Full work available at URL: https://doi.org/10.1023/a:1007663620943


zbMATH Keywords

deformation gradientdifferential calculuspolar decompositionrotation tensorstretchtensor equationtensor-valued functions of tensors


Mathematics Subject Classification ID

Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)


Related Items (5)

Variational schemes and mixed finite elements for large strain isotropic elasticity in principal stretches: Closed‐form tangent eigensystems, convexity conditions, and stabilised elasticity ⋮ An approach to isotropic tensor functions and their derivatives via omega matrix calculus ⋮ Derivatives of the stretch, rotation and exponential tensors in \(n\)-dimensional vector spaces ⋮ Fréchet differentiation of the stretch and rotation tensors ⋮ Stabilized finite element formulation for elastic--plastic finite deformations




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