面外せん断荷重下での楕円形の空孔, 剛体または弾性介在物を有する等方性圧電弾性問題の解析解とその数値計算例

概要

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Piezoelectric materials are widely used in industrial areas from the excellent results of the mechanical and electrical couplings such as the expectation to reduce stress concentrations by electrical controls. Contrary to this expectation, piezoelectric materials may have some tendencies to develop critical crack growth because of stress concentrations induced by both mechanical and electrical loads. Therefore, it is necessary to study the behavior of stresses and displacements at the vicinity of the stress concentrated region like a cavity or crack as well as elliptical inclusion. In this paper, a two-dimensional electroelastic analysis is performed on a isotropic piezoelectric material containing elliptical defect under the cases of out of plane shear loadings at infinity. General solutions are provided in terms of complex functions, with emphasis being placed on stress concentrations. Several numerical examples are given for both mechanical and electrical loads.
一般社団法人日本機械学会の論文
1998-03-25