The Cowin-Mehrabadi theorem for an axis of symmetry

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:47

Article

Ahmad, Faiz

关键词: Plane of symmetry;    Axis of symmetry;    Normal to a plane of symmetry;    Common eigenvectors;   

DOI  :  10.1016/j.ijsolstr.2010.07.005

来源: Elsevier

【 摘 要 】

The well-known Cowin-Mehrabadi Theorem deals with necessary and sufficient conditions for a normal n to a symmetry plane. Necessary conditions require that n be a common eigenvector of C-ijkk, C-ikjk and C(ijkl)n(j)n(l). It is shown that a vector parallel to an axis of symmetry must also satisfy these conditions. An axis of rotational symmetry is also a normal to a plane of symmetry except in the case of a trigonal material. Being a common eigenvector of C-ijkk and C-ikjk belonging to a nondegenerate eigenvalue guarantees it to be an axis of symmetry. (C) 2010 Elsevier Ltd. All rights reserved.

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