Abstract
The Green's function is at the heart of many analytical and numerical methods such as singular integral methods, boundary element methods, eigenstrain approaches and dislocation methods. This chapter gives an introduction to free space Green's function of piezoelectricity with some typical approaches including Radon transform method, potential function approach, and Fourier transform scheme. The Green's function plays an important role in the solution of numerous problems in the mechanics and physics of solids. Extensive studies have been carried out on static Green's functions in anisotropic in piezoelectric solids. The chapter also discusses the extension of the results to problems with half-plane, bimaterials, interface crack, elliptic hole and inclusion, arbitrarily shaped hole, semi-infinite crack, anti-plane problems. Applications of the Green's function approach to dynamic problems are also described in the chapter.
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