numerical calculation of fracture parameters in grooved rotating disc containing three-dimensional semi-elliptical crack under mixed mode loading

In this study, a comprehensive investigation of the fracture parameters in a grooved rotating disc containing a three-dimensional semi-elliptical crack under different working conditions has been investigated. in this regard, three models of radial, circumferential and inclined crack with an angle of 45 degree have been considered in the rotating disk, and the fracture parameters under mixed mode loading (i, ii, iii) have been extracted. the effects of various parameters such as rotational speed, crack location, aspect ratio, material and presence of grooves on sifs and crack opening displacement have been studied simultaneously. the finite element results indicated that in the crack with a low aspect ratio (0.4 and 0.6) where the shape of the crack is more like a semi-elliptical, the maximum value of the mode i sif occurs at the central point of the crack front, while the crack with a high aspect ratio (0.8 and 1) where the shape of the crack is more like a semi-circular, the maximum value of the mode i sif occurs at the free surface of the crack. the mode ii sif for the rotating disk containing an inclined crack before the central point of the crack front, has the highest value for steel, titanium and aluminium rotating disk, respectively. also, the numerical results indicated that the highest value of the sif is related to the grooved rotating disk containing a circumferential crack, and the lowest value of the sif is for the grooved rotating disk containing a radial crack.