An integral equation method applied to mode III crack problems

✍ Scribed by Liu Nengquan; Nicholas J. Altiero

• Publisher: Elsevier Science
• Year: 1992
• Tongue: English
• Weight: 673 KB
• Volume: 41
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(92)90303-v

✦ Synopsis

an integral equation representation of cracks was developed and coupled to the direct boundary-element method for treatment of cracks in plane finite bodies. The method was developed for in-plane (modes I and II) loadings only. In this paper, the method is formulated and applied to mode III problems involving smooth or kinked cracks in finite regions. The results are compared to exact solutions where available [S. W. Ma, Engng Fracture Mech. 30, 43-3 (1988); Int. J. Fructure 39, 323-329 ( 1989)) and the method is shown to be very accurate despite its simplicity.

THEORETICAL FORMULATION

CONSIDER an infinite isotropic elastic plane in which there is a point, 2, at which some "source" of stress is located and a point, x, at which the stresses are to be computed. We will employ the following influence functions associated with antiplane strains: