Stroh形式を用いた異方性圧電-等方性接合体のグリーン関数

概要

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In the present paper, three-dimensional Green's functions due to a point in piezo anisotropic-isotropic elastic bimaterials are derived by using Stroh's formalism and two-dimensional Fourier transforms. Green's functions for piezo-piezo anisotropic materials were derived until now, however, the functions cannot be applied to the analysis for piezo anisotropic-isotropic bimaterials, because the boundary condition at the interface of piezo-piezo anisotropic bimaterials cannot be satisfied with the boundary conditions for insulator and conductor. In the present paper, a general expression of Green's function for piezo anisotropic-isotropic bimaterials is firstly derived, and a specified Green's function for piezo transversely isotropic -isotropic materials is secondly derived in a closed form. Numerical example is given to demonstrate the validity of the present formulation of three-dimensional point-force Green's functions.