Submitted:
22 April 2020
Posted:
24 April 2020
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Abstract
Computing the rotation tensor is vital in the analysis of deformable bodies. This paper describes an explicit expression for the SO(3) rotation tensor R of the deformation gradient F, and successfully establishes an intrinsic relation between the exponential mapping Q = exp A and the deformation F. As an application, Truesdell's simple shear deformation is revisited.
Keywords:
finite deformation
; deformation gradient
; rotation tensor
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