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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.

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Cite This Article

APA Style
Wu, K., Chen, S. (2007). Two dimensional dynamic green's functions for piezoelectric materials. Computer Modeling in Engineering & Sciences, 20(3), 147-156. https://doi.org/10.3970/cmes.2007.020.147
Vancouver Style
Wu K, Chen S. Two dimensional dynamic green's functions for piezoelectric materials. Comput Model Eng Sci. 2007;20(3):147-156 https://doi.org/10.3970/cmes.2007.020.147
IEEE Style
K. Wu and S. Chen, "Two Dimensional Dynamic Green's Functions for Piezoelectric Materials," Comput. Model. Eng. Sci., vol. 20, no. 3, pp. 147-156. 2007. https://doi.org/10.3970/cmes.2007.020.147



cc 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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