ANALYSIS OF TWO DISSIMILAR FUNCTIONALLY GRADED STRIPS CONTAINING INTERFACE CRACK UNDER PLANE DEFORMATION  

作　　者：Haiyang Li Xingtao Zhang Zhanqi Cheng Danying Gao Zheng Zhong 

机构地区：[1]Zhengzhou Electromechanic Engineering Research Institute [2]School of Civil Engineering,Zhengzhou University [3]School of Aerospace Engineering and Applied Mechanics,Tongji University

出　　处：《Acta Mechanica Solida Sinica》2013年第1期35-45,共11页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 10802078 and 10872150);China Postdoctoral Science Foundation (No. 20100471006);the Program of Young Key Teacher in Universities of Henan Province(No. 2010GGJS-023)

摘　　要：In this paper the plane elasticity problem of two bonded dissimilar functionally graded strips containing an interface crack is studied. The governing equation in terms of Airy stress function is formulated and exact solutions are obtained for several special variations of material properties in Fourier transformation domain. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Numerical results show that fracture toughness of materials can be greatly improved by graded variation of elastic modulus and the influence of the specific form of elastic modulus on the fracture behavior of FGM is limited.In this paper the plane elasticity problem of two bonded dissimilar functionally graded strips containing an interface crack is studied. The governing equation in terms of Airy stress function is formulated and exact solutions are obtained for several special variations of material properties in Fourier transformation domain. The mixed boundary problem is reduced to a system of singular integral equations that are solved numerically. Numerical results show that fracture toughness of materials can be greatly improved by graded variation of elastic modulus and the influence of the specific form of elastic modulus on the fracture behavior of FGM is limited.

关 键 词：functionally graded materials stress intensity factor Fourier transformation singular integral equations 

分 类 号：TB34[一般工业技术—材料科学与工程]