正交各向异性功能梯度材料涂层基底结构的平面断裂问题

Plane Crack Problem of Coating-substrate Structure for Orthotropic Functionally Graded Material

利用奇异积分方程方法研究了正交各向异性的功能梯度材料涂层基底结构的平面断裂问题,首先通过积分变换得到问题的形式解,然后利用边界条件通过积分变换与留数定理得到了一组奇异积分方程,最后利用Gauss-Chebyshev方法进行数值求解,讨论了材料参数、材料非均匀参数以及裂纹几何形状等对裂纹尖端应力强度因子的影响.

In this paper, the Fourier integral transform-singular integral equation method is presented for the Mode-I crack problem of the orthotropic functionally graded coating-substrate structure. The elastic property of the material is assumed vary continuously along the thickness direction. The principal directions of orthotropy are parallel and perpendicular to the boundaries of the strip. The mixed boundary value problem is reduced to a singular integral equation over crack by applying the Fourier transform and the singular integral equation is solved numerically by using the Gauss-Chebyshev integration technique. Numerical examples are presented to illustrate the effects of the crack length, the material nonhomogeneity and the thickness of coating on the stress intensity factors.