Stress intensity factors for internal circumferential cracks in thin- and thick-walled cylinders

The maximum possible stress intensity factor for a crack in an unknown residual stress field

“…For circumferential cracks (Fig. 7), weight functions are provided by Varfolomeyev et al for an internal crack [17], and by Varfolomeyev for an external crack [18]. They are accurate to within 4% for the ranges of crack length and aspect ratio considered here: a b 0:8 and 0:3 r i= r o 1.…”

“…15a. The accuracy of the weight-functionbased method is dependent on the accuracy of the underlying weight function solution (believed to be better than 4% in this case [17]). However, the accuracy of the eigenstrain-based approximation is limited by the fact that the eigenstrain distribution must be represented by the basis set used.…”

Applications of numerical eigenfunctions in the fractal‐like finite element method

“…Two cases have been considered. In both cases, we can see a very rapid drop in stress intensity factor as the cylinder length increases from l = 0.5 to 1.0 m. Also, the stress intensity factor approaches a constant value for l 3.0 m. The problem of determination of stress intensity factors for a complete circumferential crack on the inner surface of a hollow circular cylinder has been considered in References [23,24]. Nied and Erdogan [23] introduced an exact solution method and presented numerical values of the stress intensity factors and displacements at the crack mouth for various geometries defined by 0.1 0.6 and boundary conditions.…”

“…Nied and Erdogan [23] introduced an exact solution method and presented numerical values of the stress intensity factors and displacements at the crack mouth for various geometries defined by 0.1 0.6 and boundary conditions. Varfolomeyev et al [24] presented the stress intensity factors for 0.7 0.9. Their analysis involves reference stress intensity factors and crack mouth displacements calculated by the boundary element method.…”

Calculation of Stress Intensity Factor for an Internal Circumferential Crack in a Rotating Functionally Graded Thick-Walled Hollow Circular Cylinder under Thermal Shock

“…Eshraghi and Soltani [5] obtained the stress intensity factors for circumferential cracks inside cylinder made of functional materials using a weight function method. Varfolomeyev et al [6] calculated mode I stress intensity factors and opening internal crack faces using a weight function for cylinder under axisymmetric uniform loading via employing boundary element method. Chen [7] achieved SIFs and displacements for two different length tracks in the limited cylinder under tension stress.…”