Effect of T-stress on the fracture of a four point bend specimen

Analytical stress intensity factors for edge-cracked cylinder

“…(38) into (26), one can get a set of linear equation for the 6 independent constants A i , i¼1-6. To simplify manipulation, we separate the eigenfunctions into two parts: symmetric w a and antisymmetric w b , respectively, w a ¼ …”

On the relationship between stress intensity factor (K) and minimum plastic zone radius (MPZR) for four point bend specimen under mixed mode loading

“…The dimensions of the specimen, loading and displacement boundary conditions used in this analysis are similar to the one used in the earlier work (Shahani and Tabatabaei, 2009). The geometry of the specimen considered in this analysis is shown in Fig.1.…”

“…Shih (1973) showed that the amplitude of asymptotic stress field near the crack tip for mixed mode loading under small scale yielding (SSY) is parameterized by the elastic mode mixity parameter M e = 2/π tan -1 (K I /K II ), where K I and K II are the mode I and II stress intensity factors. Shahani and Tabatabaei (2009) used a non dimensional parameter, β eq =tan -1 (K I /K II ) for four point bend specimen, where β eq is the loading equivalent angle. Consequently, elastic mode mixity depends upon the loading equivalent angle.…”

Multi-parameter fracture criteria for the estimation of crack propagation direction applied to a mixed-mode geometry

“…[19] or [20]) that the T-stress (the second term of the Williams expansion) can have a significant influence on the crack propagation path. In Ref.…”

“…The Refs. [19][20][21] as well as the more advanced work [22] Because of all the reasons described above, in this paper two most often used fracture criteria for estimation of the crack propagation direction are investigated; their multi-parameter/generalized form is suggested and its accuracy/efficiency is tested within a parametric study carried out on a mixed-mode geometry. The main focus is on the investigation of initial crack propagation direction and one of the important aspects of this paper is its large extent: the kink angle is determined for a wide range of mode-mixity situations.…”