Preprint Article Version 1 This version is not peer-reviewed

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.

Journal reference: Applied Mathematics Letters 2020, 106606
DOI: 10.1016/j.aml.2020.106606

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.

Subject Areas

finite deformation; deformation gradient; rotation tensor

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