基于功能梯度材料和均匀弹性材料本构方程,探讨了含裂纹半无限大功能梯度材料与均匀弹性材料粘接的接触问题。通过借助Fourier变换技术,将所要研究的问题转换为关于未知位错密度函数的奇异积分方程,并把位错密度函数表示为Chebyshev多项式,最终将奇异积分方程转换为线性代数方程组进行配点数值求解。数值结果以图表的形式显示非均匀参数、裂纹几何性对裂纹尖端应力强度因子的影响。
This paperis based on functionally graded materials and homogeneous elastic material constitutive equation.Contact problem of half functionally graded material with eccentrical crack felt uniformity elasticity strip is studied in this paper.By using Fourier transforms the problem was for-mulated in terms of a singular integral equation.It was numerically solved by representing the un-known dislocation density by a truncated series of Chebyshev polynomials leading to a linear system of equations.The stress i...