Some variational principles in electroelastic media under finite deformation

作     者：KUANG ZhenBang Department of Engineering Mechanics,Shanghai Jiaotong University,Shanghai 200240,China 

作者机构：Department of Engineering Mechanics Shanghai Jiaotong University Shanghai China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2008年第51卷第9期

页      面：1390-1402页

核心收录：

学科分类：080701[工学-工程热物理] 08[工学] 0807[工学-动力工程及工程热物理] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 

基　　金：the National Natural Science Foundation of China (Grant No 10472069) 

主　　题：first law of thermodynamics variational principle the electroelastic media the governing equation 

摘      要：It is proposed that the universal thermodynamic energy variational principle is in-cluded in the first law of thermodynamics. Some variational principles in the elec-troelastic media under finite deformation are derived from this universal thermo-dynamic variational principle. It is suggested that in the general electroelastic analysis the environment should be considered together with the discussed elec-troelastic medium. For the variational principle of nonlinear electroelastic media the variation of the electric potential is coupled with the virtual displacement,and the variation of the initial volume should be considered. The Maxwell stress in the initial configuration is naturally derived from this variational principle and it is unique in the second order precision.