Article
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Explicit Representation of SO(3) Rotation Tensor for Deformable Bodies
Version 1
: Received: 22 April 2020 / Approved: 24 April 2020 / Online: 24 April 2020 (11:58:27 CEST)
A peer-reviewed article of this Preprint also exists.
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
Subject
Physical Sciences, Applied Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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