Indentation of a compressible soft electroactive half-space: Some theoretical aspects  

作　　者：Wen-Liang Zhang Jin Qian Wei-Qiu Chen 

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

出　　处：《Acta Mechanica Sinica》2012年第4期1133-1142,共10页力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(10832009 and 11090333);the Fundamental Research Funds for Central Universities(2011XZZX002)

摘　　要：We theoretically study the indentation response of a compressible soft electroactive material by a rigid punch. The half-space material is assumed to be initially subjected to a finite deformation and an electric biasing field. By adopting the linearized theory for incremental fields, which is established on the basis of a general nonlinear theory for electroelasticity, the appropriate equations governing the perturbed infinitesimal elastic and electric fields are derived particularly when the material is subjected to a uniform equibiaxial stretch and a uniform electric displacement. A general solution to the governing equations is presented, which is concisely expressed in terms of four quasi-harmonic functions. By adopting the potential theory method, exact contact solutions for three common perfectly conducting rigid indenters of fiat-ended circular, conical and spherical geometries can be derived, and some explicit relations that are of practical importance are outlined.We theoretically study the indentation response of a compressible soft electroactive material by a rigid punch. The half-space material is assumed to be initially subjected to a finite deformation and an electric biasing field. By adopting the linearized theory for incremental fields, which is established on the basis of a general nonlinear theory for electroelasticity, the appropriate equations governing the perturbed infinitesimal elastic and electric fields are derived particularly when the material is subjected to a uniform equibiaxial stretch and a uniform electric displacement. A general solution to the governing equations is presented, which is concisely expressed in terms of four quasi-harmonic functions. By adopting the potential theory method, exact contact solutions for three common perfectly conducting rigid indenters of fiat-ended circular, conical and spherical geometries can be derived, and some explicit relations that are of practical importance are outlined.

关 键 词：Soft electroactive material Finite pre-stretch Indentation Contact analysis Exact solution 

分 类 号：O347.41[理学—固体力学] O357.5[理学—力学]