Integral representation and Green’s functions for 3D time-dependent thermo-piezoelectricity

A boundary integral method is developed for 3D time-dependent quasistatic thermo-piezoelectricity. This time domain formulation involves only surface quantities. As a result, volume discretization is completely avoided. Greenʹs functions are derived by resorting to Radon transform and presented in integral form. Reductions to the case of isotropic dielectric solid have been worked out in detail and its corresponding solutions expressed in explicit form are consistent with the existing solutions.