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中文摘要：
本文用奇异积分方程方法研究了SH波和压电压磁材料中周期裂纹的相互作用.根据电磁弹性材料的控制微分方程,通过傅立叶积分变换,将问题转化为Hilbert核的奇异积分方程组.利用Lobatto-Chebyshev多项式逼近求解积分方程,得到了强度因子的表达式.通过数值算例,说明了SH波的频率、入射角以及材料参数对强度因子的影响.
英文摘要：
In this paper, the interaction between the array of periodic cracks in magneto-electro-elastic composites under the SH wave is investigated on basis of the singular integral equations. The singular integral equations with an Hilbert kernel can be obtained by the Fourier integral transformation on the base of the system of the governing differential equations in magneto-electro-elastic composites. The integral equations can be solved by the approximation of Lobatto-Chebyshev polynomials. The intensive factors can be expressed by numerical results. The effects of the parameter of the composites, the angle and the frequency of SH waves on the intensive factors are evaluated by an example.
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