WAVES IN PRE-STRETCHED INCOMPRESSIBLE SOFT ELECTROACTIVE CYLINDERS:EXACT SOLUTION

作     者：Weiqiu Chen Huihui Dai 

作者机构：Soft Matter Research Center (SMRC) Zhejiang University Hangzhou 310027 China Department of Engineering Mechanics Zhejiang University Hangzhou 310027 China Department of Mathematics City University of Hong Kong Kowloon Hong Kong China 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2012年第25卷第5期

页      面：530-541页

核心收录：

学科分类：080503[工学-材料加工工程] 081704[工学-应用化学] 08[工学] 0817[工学-化学工程与技术] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 080201[工学-机械制造及其自动化] 

基　　金：supported by the National Natural Science Foundation of China (Nos. 10832009 and 11090333) the Fundamental Research Funds for Central Universities (No. 2011XZZX002) 

主　　题：electroelastic waves finite pre-stretch soft electroactive cylinder dispersion rela-tion 

摘      要：This paper studies wave propagation in a soft electroactive cylinder with an under- lying finite deformation in the presence of an electric biasing field. Based on a recently proposed nonlinear framework for electroelastieity and the associated linear incremental theory, the basic equations governing the axisymmetric wave motion in the cylinder, which is subjected to homo- geneous pre-stretches and pre-existing axial electric displacement, are presented when the elec- troactive material is isotropic and incompressible. Exact wave solution is then derived in terms of （modified） Bessel functions. For a prototype model of nonlinear electroactive material, illus- trative numerical results are given. It is shown that the effect of pre-stretch and electric biasing field could be significant on the wave propagation characteristics.