Electromechanical responses and instability of electro-active polymer cylindrical shells  

作　　者：Jiusheng REN Chengmin WANG 

机构地区：[1]Department of Mechanics,Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering,Shanghai University [2]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2016年第8期1067-1076,共10页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10772104);the Shanghai Leading Academic Discipline Project(No.S30106)

摘　　要：Based on the theories of finite deformation elasticity, electromechanical responses and instability of an incompressible electro-active polymer （EAP） cylindrical shell, which is subjected to an internal pressure and a static electric field, are studied. Deformation curves and distribution of stresses are obtained. It is found that an internal pressure together with an electric field may cause the unstable non-monotonic deforma- tion of the shell. It is also shown that a critical thickness for the shell exists, and the shell may undergo the unstable deformation if its thickness is less than this critical value. In addition, the effects of the electric field, axial stretch, thickness, and internal pressure on the instability of the shell are discussed.Based on the theories of finite deformation elasticity, electromechanical responses and instability of an incompressible electro-active polymer （EAP） cylindrical shell, which is subjected to an internal pressure and a static electric field, are studied. Deformation curves and distribution of stresses are obtained. It is found that an internal pressure together with an electric field may cause the unstable non-monotonic deforma- tion of the shell. It is also shown that a critical thickness for the shell exists, and the shell may undergo the unstable deformation if its thickness is less than this critical value. In addition, the effects of the electric field, axial stretch, thickness, and internal pressure on the instability of the shell are discussed.

关 键 词：electro-active polymer （EAP） electromechanical instability finite deformation elastic theory non-monotonic critical thickness 

分 类 号：O343[理学—固体力学]