ON THE DIRECT DETERMINATION OF THE ROTATION TENSOR FROM THE DEFORMATION GRADIENT
P. PAPADOPOULOS and J. LU Math. Mech. Sol., 2, pp. 17-26, (1997)

Abstract
An explicit representation of the rotation tensor is given in terms of the deformation gradient. The derivation does not require the a priori determination of the stretch tensor. Instead, it relies on systematic use of the Cayley-Hamilton theorem and basic properties of proper orthogonal tensors.


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