Applied Mathematics and Mechanics >
Electromechanical responses and instability of electro-active polymer cylindrical shells
Received date: 2015-09-18
Revised date: 2016-03-04
Online published: 2016-08-01
Supported by
Project supported by the National Natural Science Foundation of China (No. 10772104) and the Shanghai Leading Academic Discipline Project (No. S30106)
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 deformation 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.
Jiusheng REN, Chengmin WANG . Electromechanical responses and instability of electro-active polymer cylindrical shells[J]. Applied Mathematics and Mechanics, 2016 , 37(8) : 1067 -1076 . DOI: 10.1007/s10483-016-2118-9
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