Interface crack problems for mode Ⅱ of double dissimilar orthotropic composite materials  

作　　者：杨维阳 张少琴 李俊林 马玉兰 

机构地区：[1]School of Applied Science,Taiyuan University of Science and Technology [2]Department of Mathematics and Physics,Beijing Technology and Business University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第5期585-594,共10页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of Shaanxi Province (No.2007011008)

摘　　要：The fracture problems near the similar orthotropic composite materials are interface crack tip for mode Ⅱ of double disstudied. The mechanical models of interface crack for mode Ⅱ are given. By translating the governing equations into the generalized hi-harmonic equations, the stress functions containing two stress singularity exponents are derived with the help of a complex function method. Based on the boundary conditions, a system of non-homogeneous linear equations is found. Two real stress singularity exponents are determined be solving this system under appropriate conditions about bimaterial engineering parameters. According to the uniqueness theorem of limit, both the formulae of stress intensity factors and theoretical solutions of stress field near the interface crack tip are derived. When the two orthotropic materials are the same, the stress singularity exponents, stress intensity factors and stresses for mode II crack of the orthotropic single material are obtained.The fracture problems near the similar orthotropic composite materials are interface crack tip for mode Ⅱ of double disstudied. The mechanical models of interface crack for mode Ⅱ are given. By translating the governing equations into the generalized hi-harmonic equations, the stress functions containing two stress singularity exponents are derived with the help of a complex function method. Based on the boundary conditions, a system of non-homogeneous linear equations is found. Two real stress singularity exponents are determined be solving this system under appropriate conditions about bimaterial engineering parameters. According to the uniqueness theorem of limit, both the formulae of stress intensity factors and theoretical solutions of stress field near the interface crack tip are derived. When the two orthotropic materials are the same, the stress singularity exponents, stress intensity factors and stresses for mode II crack of the orthotropic single material are obtained.

关 键 词：interface crack for mode Ⅱ stress intensity factor double materials ORTHOTROPIC 

分 类 号：O346.1[理学—固体力学] TU339[理学—力学]