Dislocation distribution model of mode Ⅲ propagation crack

WANG Yun-tao^1,2, LV Nian-chun^1,3, WANG Chao-ying¹, CHENG Jin¹

1.Dept. of Astronautics and Mechanics,Harbin Institute of Technology,Harbin 150001,China;2.School of Mechanical Engineering,Liaoning Technical University,Fuxin 123000,China;3.School of Material,Shenyang Ligong University,Shenyang 110168,China



Abstract:

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.

Key words:  mode Ⅲ propagation crack  fracture dynamics  self-similar functions  dislocation distribution functions  analytical solutions

DOI：10.11916/j.issn.1005-9113.2010.02.013

Clc Number:O346.1

Fund: