The Cowin–Mehrabadi theorem for an axis of symmetry

✍ Scribed by Faiz Ahmad

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 167 KB
• Volume: 47
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/j.ijsolstr.2010.07.005

✦ Synopsis

eigenvectors a b s t r a c t

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.