Basic solutions of two parallel limited-permeable mode-I cracks in piezoelectric/piezomagnetic composite materials
Basic solutions of two parallel limited-permeable mode-I cracks in piezoelectric/piezomagnetic composite materials
复制标题
压电/压磁复合材料中两个平行限渗I型裂纹的基本解
DOI：
10.3233/sfc-2012-0144
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
Ji-cai Feng
中科院分区：
文献类型：
--
作者：
shi-dong pan;Ji-cai Feng
本文利用广义阿尔曼西定理推导了压电/压磁复合材料中两个平行I型有限渗透裂纹的基本解。该问题通过傅立叶变换表述为两对对偶积分方程，其中未知变量是跨越裂纹表面的位移跳跃。为了求解对偶积分方程，将裂纹表面的位移跳跃直接展开为一系列雅可比多项式，以获得裂纹尖端电位移强度因子、磁通强度因子和应力强度因子之间的关系。从本文的解可以看出，电和磁边界条件对裂纹尖端附近的电位移场和磁通场的影响很大。本文介绍了压电/压磁复合材料中两个或四个平行 I 型裂纹的相互作用以及裂纹屏蔽效应。
The basic solutions of two parallel mode-I limited-permeable cracks in piezoelectric/piezomagnetic composite ma- terials were derived by using the generalized Almansi's theorem in this paper. The problem was formulated through Fourier transform into two pairs of dual integral equations, in which the unknown variables are the displacement jumps across the crack surfaces. To solve the dual integral equations, the displacement jumps across the crack surfaces were directly expanded as a series of Jacobi polynomials to obtain the relations among the electric displacement intensity factors, the magnetic flux intensity factors and the stress intensity factors at the crack tips. From the solutions of the present paper, it was obtained that the effects of the electric and the magnetic boundary conditions on the electric displacement fields and the magnetic flux fields near the crack tips are large. The paper presents the interactions of two or four parallel mode-I cracks and the crack shielding effect in piezoelectric/piezomagnetic composite materials.
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DOI：
10.1016/j.ijsolstr.2009.05.003
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影响因子：
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