Method of Hypersingular Integral Equation for a Planar Crack Subjected
to Tension in Bimaterial
Yue Jinchao
(Zhengzhou University of Technology, Zhengzhou 450002)
Tang Renji
(Shanghai Jiaotong University, Shanghai 200030)
Wang Fuming    Liu Wenting
(Zhengzhou University of Technology, Zhengzhou 450002)

Abstract: In this paper, the problem of an arbitrarily shaped planar crack which is perpendicular to the interface of bimaterial and loaded by interior normal pressure is studied by means of the method of hypersingular integral equation in three-dimensional fracture mechanics. Based on the fundamental solution of two perfectly onded elastic halfspaces, the boundary integral equation method is used to reduce the problem to a hypersingular integral equation in which the unknown function is the crack opening displacement discontinuity.Then its numerical method is presented, and the method for calculating the stress intensity factorby making use of the displacement discontinuity of crack surface is discussed. Finally, several typicalexamples are calculated and the numerical results are satisfactory.
Keywords: bimaterial, planar crack, hypersingular integral equation, stress intensity factor.