2D Green’s functions for two-phase orthotropic piezothermoelastic plane

Abstract

Green’s functions play an important role in electroelastic analyses of piezoelectric media. However, most works available on this topic are on case of identical temperature. As a further work of 3D Green’s functions for a two-phase transversely isotropic piezothermoelectric media (Hou, P.F. and Leung, A.Y.T. 2009. ‘‘Three-dimensional Green’s Functions for Two-phase Transversely Isotropic Piezothermoelastic Media,’’ J. Intel. Mater. Syst. Str., 16(5): 1915—1923), the 2D Green’s function for a steady line heat source in a two-phase orthotropic piezothermoelectric plane is presented by eight newly induced harmonic functions in form of elementary functions with undetermined constants. The corresponding coupled field can be obtained by substituting these functions into the general solution, and the undetermined constants can be obtained by the continuous conditions and equilibrium conditions.