Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems
The author studied the electrostatic Green's function for transversely isotropic piezoelectric media and their application to the solution of inclusion and inhomogeneity problems. He obtained explicit formulae for the coupled electrostatic Green's functions for a transversely isotropic piezoelectric medium. He has shown the existence of four Green's functions which represent the coupled elastic and electric response to an applied unit point force or point electric charge. The resulting expressions are obtained by utilizing the contour integral representation of the Green's functions derived by Deeg (cited in the paper). The evaluation of the contour integrals then follows Willis' work in anisotropic elasticity. He also showed that when piezoelectric coupling is absent, the results reduce to those for uncoupled elasticity and electrostatics. The author then illustrated the use of Green's functions in the analysis of piezoelectric inclusion and inhomogeneity problems. Finally, he obtained explicit expressions for a set of four tensors analogous to Eshelby's tensor for elastic inclusions. This work is quite interesting and might be very useful for those researchers working in the area of piezoelectric composites.
scientific article; zbMATH DE number 561785