FRACTURE ANALYSIS OF A FUNCTIONALLY GRADED STRIP UNDER PLANE DEFORMATION  

作　　者：Cheng Zhanqi Zhong Zheng 

机构地区：[1]School of Aerospace Engineering and Applied mechanics, Tongji University, Shanghai 200092, China [2]Collage of Civil Engineering, Zhengzhou University, Zhengzhou 450002, China

出　　处：《Acta Mechanica Solida Sinica》2006年第2期114-121,共8页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No. 10432030 and No. 10125209).

摘　　要：In this paper the plane elasticity problem for a functionally graded strip containing a crack is considered. It is assumed that the reciprocal of the shear modulus is a linear function of the thickness-coordinate, while the 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 and the strain energy release rate are investigated. The numerical results show that the graded parameters, the thickness of the strip and the crack size have significant effects on the stress intensity factors and the strain energy release rate.In this paper the plane elasticity problem for a functionally graded strip containing a crack is considered. It is assumed that the reciprocal of the shear modulus is a linear function of the thickness-coordinate, while the 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 and the strain energy release rate are investigated. The numerical results show that the graded parameters, the thickness of the strip and the crack size have significant effects on the stress intensity factors and the strain energy release rate.

关 键 词：functionally graded materials STRIP FRACTURE stress intensity factors strain energy release rate 

分 类 号：O346.1[理学—固体力学]