Fracture analysis near the interface crack tip for mode Ⅰ of orthotropic bimaterial  

作　　者：YANG XiaoMei YANG WeiYang LI JunLin ZHANG XueXia 

机构地区：[1]School of Applied Science, Taiyuan University of Science and Technology

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第4期785-797,共13页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the Natural Science Foundation of Shanxi Province (Grant No. 2011011021-3)

摘　　要：The mechanical behaviors near the interface crack tip for mode Ⅰ of orthotropic bimaterial are researched. With the help of the complex function method and the undetermined coefficient method, non-oscillatory field if the singularity exponent is a real number, and oscillatory field if the singularity exponent is a complex number are discussed, respectively. For each case, the stress functions are constructed which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions, the system of non-homogeneous linear equations is obtained. According to the necessary and sufficient condition for the existence of solution for the system of non-homogeneous linear equations, the singularity exponent is determined under appropriate condition using bimaterial parameters. Both the theoretical formulae of stress intensity factors and analytic solutions of stress or displacement field near the interface crack tip are given. When the two orthotropic materials are the same, the classical results for orthotropic single material are deduced.The mechanical behaviors near the interface crack tip for mode Ⅰ of orthotropic bimaterial are researched. With the help of the complex function method and the undetermined coefficient method, non-oscillatory field if the singularity exponent is a real number, and oscillatory field if the singularity exponent is a complex number are discussed, respectively. For each case, the stress functions are constructed which contain twelve undetermined coefficients and an unknown singularity exponent. Based on the boundary conditions, the system of non-homogeneous linear equations is obtained. According to the necessary and sufficient condition for the existence of solution for the system of non-homogeneous linear equations, the singularity exponent is determined under appropriate condition using bimaterial parameters. Both the theoretical formulae of stress intensity factors and analytic solutions of stress or displacement field near the interface crack tip are given. When the two orthotropic materials are the same, the classical results for orthotropic single material are deduced.

关 键 词：interface crack for mode Ⅰ stress intensity factor STRESS DISPLACEMENT orthotropic bimaterial 

分 类 号：O346.1[理学—固体力学] O343.8[理学—力学]