Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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.

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

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