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中文摘要：
讨论了具有裂纹功能梯度压电层拼接半无限大功能梯度材料的SH波散射问题。假定材料的性质如弹性模量、压电常数、介电常数和密度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，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。通过数值方法分析了不同梯度参数、电载荷、电边界条件、入射角、功能梯度层厚度、裂纹位置及波数对无量纲动应力强度因子的影响。
英文摘要：
In this paper , the scattering problem of the SH wave on crack in functionally graded piezoelectric strip of ceramic bonded to functionally graded material is investigated . It is assumed that the material properties such as elastic stiffness , piezoelectric constant , dielectric constant , density vary exponentially across the materials thickness , and the crack surfaces are assumed to be limited permeable boundary conditios .By using the Fourier cosine transform ,the problem can be transformed to two pairs of dual integral equation , these equations are solved by Copson method . The dynamic stress intensity factor and electric displacement intensity factor near the crack tip are obtained . Numerical results show the effect of the graded parameter , loading electric , electric boundary conditios , angle of wave , thickness of functionally graded layer piezoelectric material strip , crack displacement and wave number upon the dimensionless stress intensity factor .
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