This paper deals with the closure problem of the arc-shaped crack in an infinite isotropic elastic media under unidirectional loading condition. Part of the arc-shaped crack surfaces will be in contact under certain loading orientations according to Toya (J. Mech. Phys. Solids, 1974, 22, 325-48), Chao & Laws (Q. J. Mech. Appl. Meth., 1992, 45(4), 629-40), and Chao & Rau (Engng Fract. Mech., 1995, 50(1), 121-30), who solved the problem by means of the complex variable method or the superposition of dislocations. The boundary element method will be used in this analysis. We first verified the contact results of a single arc-shaped crack with the solution given by Chao and Rau (Engng Fract. Mech., 1995, 50(1), 121-30). Then the solution corresponding to loading orientation w = 90° is given, which is the case of opened crack tips but crack closure at the middle part of the crack surface. Finally, the two symmetric arc-shaped cracks problem is discussed. It is believed that Tada et al., (The Stress Analysis of Cracks Handbook, Del Res. Corp., 1985) not only neglects the closure effect of the two symmetric arc-shaped cracks, but also contains an error in the calculation of the KI stress intensity factor.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics