| 压电介质有限变形的增量变分方程 |
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| 引用本文： | 陈常青,田晓耕.压电介质有限变形的增量变分方程[J].固体力学学报,1998,19(3):228-238. |
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| 作者姓名： | 陈常青 田晓耕 |
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| 作者单位： | 西安交通大学工程力学系 |
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| 基金项目： | 国家自然科学基金,国家博士点基金,国家航空基金 |
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| 摘 要： | 从连续介质力学的基本理论出发，导出了压电介质几种非线性率型变分方程，在定义了各种增量之后，由率型变分方程得到了四种增量变分方程，即压电介质的ＴｏｔａｌＬａｇｒａｎｇｅ和ＵｐｄａｔｅｄＬａｇｒａｎｇｅ变分方程，它们是导出压电介质非线性有限元方程的基础，也可用于推导其它的简化理论。
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| 关 键 词： | 机敏结构 压电材料 连续介质 增量变分方程 |
INCREMENTAL VARIATIONAL EQUATIONS OF FINITELY DEFORMED PIEZOELECTRIC MEDIA |
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| Chen Changqing,Tian Xiaogeng,Shen Yapeng.INCREMENTAL VARIATIONAL EQUATIONS OF FINITELY DEFORMED PIEZOELECTRIC MEDIA[J].Acta Mechnica Solida Sinica,1998,19(3):228-238. |
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| Authors: | Chen Changqing Tian Xiaogeng Shen Yapeng |
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| Abstract: | Through the phenomenological approach, the nonlinear constitutive equations coupling the electric/magnetic thermoelastic media are derived. Several nonlinear variational principles for piezothermoelastic continua are presented, and they are employed to formulate the incremental variational principles which have important significance in practical applications such as the nonlinear finite element analysis, the buckling, postbuckling and dynamic stability analyses of piezoelectric smart structures. |
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| Keywords: | smart systems piezoelectric material continuum mechanics incremental variational principles |
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