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The Boundary Contour Method for Piezoelectric Media with Quadratic Boundary Elements

Aimin Jiang1,2, Yili Wu2

1 Corresponding Author, E-mail address: jam@vip.sina.com
West Branch of Zhejiang University of Technology, Zhejiang Quzhou, 324000, P. R. China.

Computers, Materials & Continua 2009, 12(2), 101-120. https://doi.org/10.3970/cmc.2009.012.101

Abstract

This paper presents a development of the boundary contour method (BCM) for piezoelectric media. Firstly, the divergence-free of the integrand of the piezoelectric boundary element method is proved. Secondly, the boundary contour method formulations are obtained by introducing quadratic shape functions and Green's functions (Computer Methods in Applied Mechanics and Engineering1998;158: 65-80) for piezoelectric media and using the rigid body motion solution to regularize the BCM and avoid computation of the corner tensor. The BCM is applied to the problem of piezoelectric media. Finally, numerical solutions for illustrative examples are compared with exact ones. The numerical results of the BCM coincide very well with the exact solution, and the feasibility and efficiency of the method are verified.

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Cite This Article

A. . Jiang and Y. . Wu, "The boundary contour method for piezoelectric media with quadratic boundary elements," Computers, Materials & Continua, vol. 12, no.2, pp. 101–120, 2009.



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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