異方性異種圧電材料接合角部近傍の特異応力場解析

概要

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Asymptotic solutions around an interfacial corner can be obtained by the combination of the Stroh formalism and the Williams eigenfunction method. The H-integral method, which is derived from Betti reciprocal principle, is useful for analyzing the stress intensity factors (SIFs) of cracks and corners. By expanding these theories for an interfacial corner between anisotropic piezoelectric multi-materials, we developed the modified H-integral method. This method has high generality that can deal a jointed corner with various numbers of materials and several boundary conditions on the corner surfaces. We proposed a new definition of SIFs of an interfacial corner between anisotropic piezoelectric multi-materials, which is compatible with the definitions of SIFs of a crack in a homogeneous material and an interfacial crack. The accuracy of obtained SIFs was confirmed by comparing the asymptotic solutions obtained from the SIFs with the stress field directly obtained by the finite element method (FEM). And we proposed a numerical method for degenerate materials, which cause numerical problems in the Stroh formalism.