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Two Dimensional Dynamic Green's Functions for Piezoelectric Materials

Kuang-Chong Wu1, Shyh-Haur Chen2
Corresponding author. Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, email: wukc@spring.iam.ntu.edu.tw
Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan.

Computer Modeling in Engineering & Sciences 2007, 20(3), 147-156. https://doi.org/10.3970/cmes.2007.020.147

Abstract

A formulation for two-dimensional self-similar anisotropic elastodyamics problems is generalized to piezoelectric materials. In the formulation the general solution of the displacements is expressed in terms of the eigenvalues and eigenvectors of a related eight-dimensional eigenvalue problem. The present formulation can be used to derive analytic solutions directly without the need of performing integral transforms as required in Cagniard-de Hoop method. The method is applied to derive explicit dynamic Green's functions. Some analytic results for hexagonal 6mm materials are also derived. Numerical examples for the quartz are illustrated.

Keywords

transient motion, piezoelectric material, dynamic Green's function

Cite This Article

Wu, K., Chen, S. (2007). Two Dimensional Dynamic Green's Functions for Piezoelectric Materials. CMES-Computer Modeling in Engineering & Sciences, 20(3), 147–156.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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