Structural Engineering and Mechanics
Volume 30, Number 3, 2008, pages 317-330
DOI: 10.12989/sem.2008.30.3.317
Variations of the stress intensity factors for a planar crack parallel to a bimaterial interface
Chunhui Xu, Taiyan Qin, Li Yuan and Nao-Aki Noda
Abstract
Stress intensity factors for a planar crack parallel to a bimaterial interface are considered. The formulation leads to a system of hypersingular integral equations whose unknowns are three modes of<br />crack opening displacements. In the numerical analysis, the unknown displacement discontinuities are approximated by the products of the fundamental density functions and polynomials. The numerical<br />results show that the present method yields smooth variations of stress intensity factors along the crack front accurately. The mixed mode stress intensity factors are indicated in tables and figures with varying the shape of crack, distance from the interface, and elastic constants. It is found that the maximum stress intensity factors normalized by root area are always insensitive to the crack aspect ratio. They are given in a form of formula useful for engineering applications.
Key Words
hypersingular integral equation; stress intensity factor; bimaterial; crack.
Address
Chunhui Xu, Taiyan Qin and Li Yuan: College of Science, China Agricultural University, Beijing 100083, P.R. China<br />Nao-Aki Noda: Dept. of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu, 804-8550, Japan