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Decomposition of large incompressible deformations

Abstract : All the possibilities are first examined and identified for a given large incompressible deformation to be decomposed into three perpendicular simple shears preceded or followed by a rotation. The perpendicular simple shears involved in this decomposition has the characteristic that their product is characterized by a triangular matrix with unit diagonal components. The decomposition of a large incompressible deformation is then shown to include as a particular case the one of a small incompressible deformation into three perpendicular simple shears, in the sense that the former can be used to deduce the latter.
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Submitted on : Wednesday, May 2, 2012 - 10:52:49 PM
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Qi-Chang He, Q.-S. Zheng. Decomposition of large incompressible deformations. Journal of Elasticity, Springer Verlag, 2006, 85 (3), pp.175--187. ⟨10.1007/s10659-006-9080-2⟩. ⟨hal-00693717⟩



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