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总览 评价 周振功 * （ 哈尔滨工业大学复合材料与结构研究所，哈尔滨 150080； ） 摘要： 本文求解了功能梯度压电压磁材料中四个平行非对称裂纹的断裂问题，通过傅立叶变换得到了以裂纹面张开位移为未知变量的对偶积分方程，进而采用把裂纹面上张开位移展开
周振功*
（
哈尔滨工业大学复合材料与结构研究所，哈尔滨 150080； ）
摘要：
本文求解了功能梯度压电压磁材料中四个平行非对称裂纹的断裂问题，通过傅立叶变换得到了以裂纹面张开位移为未知变量的对偶积分方程，进而采用把裂纹面上张开位移展开成雅克比多项式的方法求解对偶积分方程，结果表明应力场、电位移强度和磁通量强度都与材料参数、裂纹长度和它们之间间距有关，且功能梯度压电压磁材料中平行裂纹间也有屏蔽效应现象发生。
关键词：
固体力学；功能梯度压电压磁材料；非对称裂纹；裂纹间屏蔽效应?
ZHOU Zhengong*
（
P. O. Box 3010, No.2, Yikuang Street, Center for Composite Materials and Structures, Harbin Institute of Technology, Harbin, 150080, P. R. China.； ）
Abstract：
The behavior of four parallel non-symmetric permeable finite length cracks in a functionally graded piezoelectric/piezomagnetic 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 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. The results show that the stress, the electric displacement and the magnetic flux intensity factors at the crack tips depend on the material parameters, the lengths and spacing of cracks. It is also revealed that the crack shielding effect presents in functionally graded piezoelectric/piezomagnetic materials.
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