中文摘要：

研究弹性材料夹杂含裂纹功能梯度材料的接触问题．利用Fourier积分变换，将问题转化为关于未知位错密度函数的奇异积分方程，再用配点法对奇异积分方程进行数值求解．获得了裂纹尖端标准应力强度因子．数值结果显示了标准应力强度因子与梯度材料非均匀参数、摩擦系数、裂纹长度以及裂纹距刚性压头中心水平距离的关系．

英文摘要：

The contact problem of half functionally graded material with eccentrical crack felt uniformity elasticity strip is studied in this paper. The problem was formulated in terms of a singular integral equation by using Fourier transforms. It was numerically solved by representing the unknown dislocation density by a truncated series of Chebyshev polynomials leading to a linear system of equations. The stress intensity factor results were discussed with respect to the influences of the strength of the nonhomogeneity, the distance between the crack and the stamp, the length of the crack, the friction between punch and functionally graded material.