Explicit expressions of eigenvalues and eigenvectors for transversely isotropic piezoelectric materials

Summary.  Explicit expressions of eigenvalues and associated eigenvectors in Stroh's theory 1] for transversely isotropic piezoelectric materials under generalized plane deformation are presented. It is shown that the practical calculation for some piezoelectric ceramics yields all eigenvalues which are distinct from each other for generalized x-z plane deformation, where z is the poling axis of a transversely isotropic piezoelectric material. Some numerical results based on the explicit expressions are given, and the orthogonality and closed relation between matrices A and B in Stroh's theory 2], 3] for piezoelectric material are verified numerically. Received May 8, 2002; revised December 14, 2002 Published online: May 20, 2003 The paper is supported by the doctorate foundation of Xi'an Jiaotong University. The science foundation of the Shaanxi Province of China is appreciated, too.