The explicit representation of the principal rotation angle and the principal rotation axis

DOI10.1007/BF02464939zbMath0944.74003OpenAlexW2077255337MaRDI QIDQ1818142

Xiaobao Zhuo, Guan-Suo Dui

Publication date: 20 September 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02464939

zbMATH Keywords

Cayley-Hamilton theoremdeformation gradientadditive decompositionpolar decompositionrotation tensorprincipal rotation angleprincipal rotation axis

Mathematics Subject Classification ID

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

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 stretch and rotation in the polar decomposition of the deformation gradient
• General algorithms for the polar decomposition and strains
• Aspects of Invariance in Solid Mechanics

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