Abstract
Simple proofs are obtained for the Cowin-Mehrabadi theorem for the identification of a plane of symmetry or an axis of symmetry in an elastic material. The treatment is generalized to a cartesian tensor of arbitrary rank. Necessary and sufficient conditions are found for the existence of a plane of symmetry or an axis of symmetry for a piezoelectric material. Conditions are obtained for the identification of an -fold axis of symmetry with . Key words: Elastic material, piezoelectric tensor, plane of symmetry, axis of symmetry, necessary and sufficient conditions.
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