Derivatives of the Rotation and Stretch Tensors
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Publication:4671805
DOI10.1177/1081286504038674zbMath1066.74003OpenAlexW2031058067MaRDI QIDQ4671805
Publication date: 26 April 2005
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286504038674
Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Kinematics of deformation (74A05)
Related Items (3)
\(\mathbf{U} = \mathbf{C}^{1/2}\) and its invariants in terms of \(\mathbf{C}\) and its invariants ⋮ Preface: Special issues of Mathematics and Mechanics of Solids in honor of MM Carroll and in celebration of his 75th birthday ⋮ Fréchet differentiation of the stretch and rotation tensors
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
- 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
- Derivatives of the stretch and rotation tensors
- Determination of the stretch and rotation in the polar decomposition of the deformation gradient
- General algorithms for the polar decomposition and strains
- Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory
- On the Direct Determination of the Rotation Tensor from the Deformation Gradient
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