Interaction of four parallel non‐symmetric permeable mode‐III cracks with different lengths in a functionally graded piezoelectric material plane
Interaction of four parallel non‐symmetric permeable mode‐III cracks with different lengths in a functionally graded piezoelectric material plane
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DOI：
10.1002/zamm.200800210
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发表时间：
2009-09
期刊：
影响因子：
--
通讯作者：
Pei-wei Zhang;Zhengong Zhou;Guoqiang Li
中科院分区：
文献类型：
--
作者：
Pei-wei Zhang;Zhengong Zhou;Guoqiang Li
In this paper, the behavior of four parallel non‐symmetric permeable cracks with different lengths in a functionally graded piezoelectric material plane subjected to anti‐plane shear stress loading was studied by the Schmidt method. The problem was formulated through Fourier transform into four pairs of dual integral equations, in which unknown variables are the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The results show that the stress intensity factors at the crack tips depend on the lengths and spacing of cracks and the material parameters. It is also revealed that the crack shielding effect presents in functionally graded piezoelectric materials.
