Fracture analysis of a functionally graded interfacial zone between two dissimilar homogeneous materials  

作　　者：CHENG Zhanqi1,2 & ZHONG Zheng1 1. School of Aerospace Engineering and Applied mechanics, Tongji University, Shanghai 200092, China 2. College of Civil Engineering, Zhengzhou University, Zhengzhou 450002, China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2006年第5期540-552,共13页中国科学：物理学、力学、天文学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China (Grant Nos. 10432030 and 10125209).

摘　　要：In this paper the plane elasticity problem for a functionally graded interfacial zone containing a crack between two dissimilar homogeneous materials has been considered. It is assumed that in the interfacial zone the reciprocal of the shear modulus is a linear function of the coordinate, while Possion’s ratio keeps constant. 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 geometric parameters and the graded parameter on the stress intensity factors are investigated. The numerical results show that the graded parameters, the thickness of interfacial zone, the crack size and location have significant effects on the stress intensity factors.In this paper the plane elasticity problem for a functionally graded interfacial zone containing a crack between two dissimilar homogeneous materials has been considered. It is assumed that in the interfacial zone the reciprocal of the shear modulus is a linear function of the coordinate, while Possion’s ratio keeps constant. 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 geometric parameters and the graded parameter on the stress intensity factors are investigated. The numerical results show that the graded parameters, the thickness of interfacial zone, the crack size and location have significant effects on the stress intensity factors.

关 键 词：functionally GRADED material INTERFACIAL ZONE fracture stress INTENSITY factor 

分 类 号：TB30[一般工业技术—材料科学与工程]