Open Access

ARTICLE

Two Dimensional Dynamic Green's Functions for Piezoelectric Materials

Kuang-Chong Wu¹, Shyh-Haur Chen²
1 Corresponding author. Institute of Applied Mechanics, National Taiwan University, Taipei 106, Taiwan, email: wukc@spring.iam.ntu.edu.tw
2 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.

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Keywords

transient motion, piezoelectric material, dynamic Green's function

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