Crack growth path prediction for the angled cracked plate using higher order terms of Williams series expansion

Abstract

The amount of damage induced by brittle fracture of cracked bodies depends considerably on the path of fractures. Therefore, prediction of the trajectory of fracture using suitable theoretical fracture criteria is very important for cracked structures. In this paper, using higher-order terms of Williams's series expansion and the maximum tangential stress criterion, the mixed mode I/II crack growth path of an angled crack plate subjected to biaxial far field loading is investigated theoretically. To evaluate the accuracy of the theoretical results, they are compared with the experimentally reported trajectories for the angled crack plate specimen. It is shown that by taking into account the higher order terms of the Williams series expansion a very good agreement is observed between the experimental and theoretical mixed mode fracture paths in the angled crack problem. It was also observed that the theoretically determined initial angle of crack growth is consistent with the experimental results. }}

A Theoretical and Experimental Investigation on the Fracture Mechanism of Center-Symmetric Closed Crack in Compacted Clay under Compression–Shear Loading

“…Roychowdhury and Dodds [32], Aliha et al [33] suggest that T-stress significantly affects the crack initiation angle and the shape and size of the plastic zone at the crack tip. Mirlohi and Aliha [34] analyzed the fracture path of an angled cracked plate considering the non-singular term of Williams infinite series expansion and confirmed the effect of T-stress on its fracture behavior. Smith et al [25] systematically investigated the effect of T-stress on material fracture behavior under tensile-shear loading and proposed the generalized maximum circumferential stress (GMTS) criterion, which has been widely applied to studies on the I-II mixed mode fracture problem [35][36][37][38].…”