中文摘要：

提出可以分析任意梯度功能梯度材料的分层模型，并采用该模型研究功能梯度涂层平面裂纹问题．采用Fourier变换和传递矩阵法将该混合边值问题化为奇异积分方程组，通过数值求解获得应力强度因子．考察了分层模型的有效性，以及材料梯度变化形式、结构几何尺寸和材料梯度参数对裂纹应力强度因子的影响，发现结构几何尺寸、材料梯度变化形式、以及材料梯度参数均对应力强度因子有显著影响．

英文摘要：

In this paper the plane elasticity problem for a functionally graded coating containing a crack bonded to homogeneous material substrate has been considered. A multi-layered model is employed to mod- el arbitrary variations of material properties based on two linear-distributed material compliance parame- ters. By utilizing the Fourier transformation technique and the transfer matrix method, the mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. The influences of the graded variation of material parameters, geometric parameters and graded parameter on the stress inten- sity factors are investigated. The numerical results show that the geometric parameters,graded variation of material parameters and graded parameters have significant effects on the stress intensity factors.