Explicit representation for the \(\mathrm{SO}(3)\) rotation tensor of deformable bodies

DOI10.1016/j.aml.2020.106606OpenAlexW3037299446MaRDI QIDQ2006310

Bo-Hua Sun

Publication date: 8 October 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106606

zbMATH Keywords

eigenvaluesdeformation gradientpolar decompositionfinite deformationrotation tensor

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Nonlinear elasticity (74B20) Kinematics of deformation (74A05) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items (1)

Quadratic-stretch elasticity

Uses Software

• Maple

Cites Work

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• Determination of \(C^{1/2}\), \(C^{-1/2}\) and more general isotropic tensor functions of C
• Determination of the rotation tensor in the polar decomposition
• Determination of the stretch and rotation in the polar decomposition of the deformation gradient
• On the Direct Determination of the Rotation Tensor from the Deformation Gradient
• Direct determination of the rotation in the polar decomposition of the deformation gradient by maximizing a Rayleigh quotient
• Elasticity with MATHEMATICA^®

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