The practical evaluation of stress intensity factors at semi-infinite crack tips

✍ Scribed by N.I. Ioakimidis; P.S. Theocaris

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 1015 KB
• Volume: 13
• Category: Article
• ISSN: 0013-7944
• DOI: 10.1016/0013-7944(80)90038-7

✦ Synopsis

The sohttion of crack problems in plane or antiplane elasticity can be reduced to the solution of a singular integral equation along the cracks. In this paper the Rada~hebyshev method of numerical integration and soiution of singular integral equations is modified, through a variable transformation, so as to become applicable to the numerical solution of singular integral equations along semi-inhnite intervals, as happens in the case of semi-infinite cracks, and the direct determination of stress intensity factors at the crack tips. This technique presents considerable advantages over the analogous technique based on the Gauss-Hermite numerical integration rule. Finally, the method is applied to the problems of (i) a periodic array of parallel semi-inhnite straight cracks in plane elasticity, (ii) a similar array of curvilinear cracks, (iii) a straight semi-in&rite crack normal to a biiaterial interface in antiplane elasticity and (iv) a similar crack in plane elasticity; in ah four applications appropriate geometry and loading conditions have been assumed. The conv~ence of the numerical results ob~ned for the stress intensity factors is seen to be very god.