Abstract
With the help of Cayley-Hamilton theorem we have obtained two sets of complete invariance algorithms for calculating the stretches and rotation in the polar decomposition of finite deformation gradient in this paper. Furthermore, the representation theorem as well as its perturbation form for various strains in common use is presented.
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References
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Hoger, A., Carlson D E, Determination of the stretch and rotation in the polar decomposition of the deformation gradient,Quart. Appl. Math.,42(1984), 113–117.
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Zheng Quanshui & Tai Tienmin, Two simple proofs of Cayley-Hamilton theorem and two representation theorems,Appl. Math. Mech. 5(1984), 1–8.
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This paper had been reported at the Congress of the East China Association for Solid Mechanics (1985).
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Zuhua, X., Quanshui, Z. General algorithms for the polar decomposition and strains. Acta Mech Sinica 4, 175–181 (1988). https://doi.org/10.1007/BF02487719
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DOI: https://doi.org/10.1007/BF02487719