On the Green's functions for a compressible soft electroactive half-space and two-phase medium

来源 :第7届Trefftz工程计算方法(ICTM2015)暨第3届基本解工程应用方法(MFS) | 被引量 : 0次 | 上传用户:xiexieni777
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  In this work,we first study the Green's functions for a compressible soft electroactive half-space.The half-space is assumed to be initially subjected to a finite deformation and an electric biasing field.By adopting the linearized theory of incremental fields,a set of appropriate governing equations are obtained,for which a concise general equation can be obtained.By virtue of the general solution and the potential theory method,the Green's solutions for a point force and a point charge acting in the interior of the half-space are exactly derived.Those solutions are explicitly expressed in terms of elementary functions.As particular examples,Mindlin's solutions and Lorentz's solutions are presented.Then,we extend our results to a more general problem in which a point force and a point charge is applied in the interior of a two-phase compressible electroactive medium.The two-phase medium is constructed by two infinite half-spaces that are perfectly or smoothly bonded together.Green's functions for the whole space are derived by adding on another set of displacement functions which account for the effect of the interface.A numerical example of Boussinesq's solutions is presented and discussed.
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