The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane

The behavior of three parallel non-symmetric permeable mode-III cracks in a piezoelectric material plane
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压电材料平面中三个平行非对称渗透 III 型裂纹的行为

DOI:
10.1016/j.mechrescom.2009.02.008
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发表时间:
2009-09
影响因子:
2.4
通讯作者:
Zhou, Zhen-Gong
Zhou, Zhen-Gong
中科院分区:
工程技术4区
文献类型:
--
作者:
Guo, Ying;Wu, Lin-Zhi;Zhou, Zhen-Gong

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研究了压电材料平面内三条平行非对称裂纹在反平面剪应力作用下的行为。通过傅立叶变换将问题转化为三对对偶积分方程。为了求解对偶积分方程,裂纹面上位移的跳跃直接展开为一系列雅可比多项式。最后得到了裂纹尖端电场与应力场的关系。同时也揭示了压电材料中存在裂纹屏蔽效应。
The behavior of three parallel non-symmetric cracks in a piezoelectric material plane subjected to an anti-plane shear stress loading was studied in this paper. The problem was formulated through Fourier transform into three pairs of dual integral equations. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. Finally, the relation between the electric filed and the stress field near the crack tips was obtained. It is also revealed that the crack shielding effect presents in piezoelectric materials.
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