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中文摘要：
研究了功能梯度压电带拼接半无限大压电材料中裂纹对SH波的散射问题。材料性质如弹性模量、压电常数、介电常数和密度假定沿着材料厚度方向以指数形式变化,并假设裂纹面上为限制导通边界条件。运用Fourier余弦变换推导出两对对偶积分方程,然后利用Copson方法求解对偶积分方程,进而得到了裂纹尖端的应力强度因子和电位移强度因子的解析表达式。最后,通过数值算例分析了不同电载荷、电边界条件、入射角、裂纹位置及波数对标准应力强度因子的影响。
英文摘要：
The scattering problem of SH wave on crack in functionally graded piezoelectric strip of ceramic bonded to Semi-infiuite homogeneous piezoelectric material was investigated.It was assumed that the material properties such as elastic stiffness,piezoelectric constant,dielectric constant,and density vary exponentially across the materials thickness,and the crack surfaces were assumed to be limited permeable boundary conditions.By using Fourier cosine transform,the problem could be transformed to two pairs of dual integral equation,these equations were solved by Copson method.The dynamic stress intensity factor and electric displacement intensity factor near the crack tip were obtained.The numerical results show the effect of the electric,electric boundary conditions,the angle of wave,crack displacement and the frequency of wave upon the normalized stress intensity factor.
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