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

作　　者：Weiqiu Chen Huihui Dai 

机构地区：[1]Soft Matter Research Center (SMRC), Zhejiang University, Hangzhou 310027, China [2]Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China [3]Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong, China

出　　处：《Acta Mechanica Solida Sinica》2012年第5期530-541,共12页固体力学学报（英文版）

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

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.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.

关 键 词：electroelastic waves finite pre-stretch soft electroactive cylinder dispersion rela-tion 

分 类 号：O646[理学—物理化学] TG166.3[理学—化学]