| 具有表面电极的二维压电力学的广义变分原理 |
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| 引用本文： | 何吉欢.具有表面电极的二维压电力学的广义变分原理[J].上海大学学报(英文版),2000,4(1):14-17. |
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| 作者姓名： | 何吉欢 |
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| 作者单位： | HE Ji huan Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，China |
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| 基金项目： | ShanghaiEducationFoundationforYoungTeachers!(98QN4 7) |
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| 摘 要： | 1 Ｉｎｔｒｏｄｕｃｔｉｏｎ Ｐｉｅｚｏｅｌｅｃｔｒｉｃｃｅｒａｍｉｃｓｈａｖｅｂｅｅｎｗｉｄｅｌｙｕｓｅｄｉｎｅｎｇｉｎｅｅｒｉｎｇ.ＡｃｏｍｐｒｅｈｅｎｓｉｖｅｌｉｓｔｏｆｗｏｒｋｓｉｎｔｈｉｓａｒｅａｍａｙｂｅｆｏｕｎｄｉｎＲｅｆｓ.1,2]ａｎｄｔｈｅｒｅｆｅｒｅｎｃｅｓｃｉｔｅｄｔｈｅｒｅｉｎ.Ｉｎｏｒｄｅｒｔｏａｐｐｌｙｔｈｅｆｉｎｉｔｅｅｌｅｍｅｎｔｍｅｔｈｏｄｓｔｏｔｈｅｎｕｍｅｒｉｃａｌｓｉｍｕｌａｔｉｏｎｏｆｔｈｅｐｉｅｚｏｅｌｅｃｔｒｉｃｉｔｙ,ｉｔｉｓｎｅｃｅｓｓａｒｙｔｏｅｓｔ…
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| 收稿时间： | 28 December 1998 |
A generalized variational principle for 2-D piezoelectricity with surface electrodes |
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| Ji-huan He.A generalized variational principle for 2-D piezoelectricity with surface electrodes[J].Journal of Shanghai University(English Edition),2000,4(1):14-17. |
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| Authors: | Ji-huan He |
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| Institution: | Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | It is difficult to establish a classical variational model for piezoelectricity. Following the semi inverse method of establishing generalized variational principles, an energy like trial functional with a certain unknown function is constructed. The unknown function is easily identified step by step. A family of variational principles for the static behavior of the elastic and electric variables in the vicinity of a surface electrode attached to a piezoelectric ceramic is established directly from its field equations and boundary conditions. |
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| Keywords: | variational theory piezoelectricity semi inverse method trial functional |
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