| General solutions for special orthotropic piezoelectric media |
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| 引用本文： | 李相勇,王敏中. General solutions for special orthotropic piezoelectric media[J]. 浙江大学学报(A卷英文版), 2006, 7(3): 335-339. DOI: 10.1631/jzus.2006.A0335 |
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| 作者姓名： | 李相勇 王敏中 |
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| 作者单位： | Department of Mechanics and Engineering Science Peking University Beijing 100871 China，Department of Mechanics and Engineering Science Peking University Beijing 100871 China |
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| 基金项目： | Project (No. 10372003) supported by the National Natural Science Foundation of China |
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| 摘 要： | INTRODUCTION General solution is a convenient, effective method for solving space problems such as problems of infinite, semi-infinite and two-phase infinite media. For linear theory of piezoelasticity, Ding et al.(1996; 1997a) gave the general solution for coupled equa-tions for transversely piezoelectric media using po-tential theory. Ding et al.(1997b; 1997c) gave the general solution of plane problem. Based on the gen-eral solution, Ding et al.(1997a) presented the closed form fundam…
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| 关 键 词： | 压电介质 正交各向异性 通解 LHN解 E-L解 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-11-10 |
General solutions for special orthotropic piezoelectric media |
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| Xiang-yong Li,Min-zhong Wang. General solutions for special orthotropic piezoelectric media[J]. Journal of Zhejiang University Science, 2006, 7(3): 335-339. DOI: 10.1631/jzus.2006.A0335 |
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| Authors: | Xiang-yong Li Min-zhong Wang |
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| Affiliation: | (1) Department of Mechanics and Engineering Science, Peking University, Beijing, 100871, China |
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| Abstract: | This paper presents the forms of the general solution for general anisotropic piezoelectric media starting from the basic equations of piezoelasticity by using the operator method introduced by Lur’e (1964), and gives the analytical form of the general solution for special orthotropic piezoelectric media. This paper uses the non-uniqueness of the general solution to obtain the generalized LHN solution and the generalized E-L solution for special orthotropic piezoelectric media. When the special orthotropic piezoelectric media degenerate to transversely piezoelectric media, the solution given by this paper degenerates to the solution for transversely isotropic piezoelectric media accordingly, so that this paper generalized the results in transversely isotropic piezoelectric media. Project (No. 10372003) supported by the National Natural Science Foundation of China |
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| Keywords: | Special orthotropic piezoelectric media LHN solution E-L solution |
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