Dislocation distribution model of mode Ⅲ propagation crack  

作　　者：王云涛 吕念春 王超迎 程靳 

机构地区：[1]Dept.of Astronautics and Mechanics,Harbin Institute of Technology [2]School of Mechanical Engineering,Liaoning Technical University [3]School of Material,Shenyang Ligong University

出　　处：《Journal of Harbin Institute of Technology(New Series)》2010年第2期215-218,共4页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the Postdoctoral Science Fundation of China (Grant No. 200303337 );the National Natural Science Foundation of China (Grant No.30205035)

摘　　要：Dislocation distribution functions of the edges of mode Ⅲ propagation crack subjected to three types of loads were studied by the methods of the theory of complex variable functions,by which,the problems researched were facilely transformed into Riemann-Hilbert problems and Keldysh-Sedov mixed boundary value problems. Analytical solutions of stresses,displacement and dynamic stress intensity factor were obtained by the measures of the theory of self-similar functions and corresponding differential and integral operation. In terms of the relationship between dislocation distribution functions and displacements,analytical solutions of dislocation distribution functions were obttained,and variational rules of dislocation distribution functions were depicted.Dislocation distribution functions of the edges of mode Ⅲ propagation crack subjected to three types of loads were studied by the methods of the theory of complex variable functions, by which, the problems researched were facilely transformed into Riemann-Hilbert problems and Keldysh-Sedov mixed boundary value problems. Analytical solutions of stresses, displacement and dynamic stress intensity factor were obtained by the measures of the theory of self-similar functions and corresponding differential and integral operation. In terms of the relationship between dislocation distribution functions and displacements, analytical solutions of dislocation distribution functions were obttained, and variational rules of dislocation distribution functions were depicted.

关 键 词：mode Ⅲ propagation crack fracture dynamics self-similar functions dislocation distribution functions analytical solutions 

分 类 号：O346.1[理学—固体力学]