Stress intensity factors and crack opening displacements for slanted axial through‐wall cracks in pressurized pipes

Abstract

A B S T R A C T This paper proposes elastic stress intensity factors and crack opening displacements(CODs) for a slanted axial through-wall cracked cylinder under an internal pressure based on detailed three-dimensional (3D) elastic finite element (FE) analyses. The FE model and analysis procedure were validated against existing solutions for both elastic stress intensity factor and COD of an idealized axial through-wall cracked cylinder. To cover a practical range, four different values of the ratio of the mean radius of cylinder to the thickness (R m /t) were selected. Furthermore, four different values of the normalized crack length and five different values of the ratio of the crack length at the inner surface to the crack length at the outer surface representing the slant angle were selected. Based on the elastic FE results, the stress intensity factors along the crack front and CODs through the thickness at the centre of the crack were provided. These values were also tabulated for three selected points, that is, the inner and outer surfaces and at the midthickness. The present results can be used to evaluate the crack growth rate and leak rate of a slanted axial through-wall crack due to stress corrosion cracking and fatigue. Moreover, the present results can be used to perform a detailed leak-before-break analysis considering more realistic crack shape development.

Static and free-vibration analyses of cracks in thin-shell structures based on an isogeometric-meshfree coupling approach

“…Table 1 presents the J integral obtained by the proposed approach for different crack lengths. The results are in good agreement with the reference solutions [61] and analytical solutions reported in [62,63].…”

Engineering estimates of crack opening displacement for non-idealized circumferential through-wall cracks in pipe

“…The numbers of nodes and elements in a typical FE mesh are approximately 80,978 and 9360, respectively. Although, there is some curvature along the crack front that is resulting from the cylindrical transformation of a straight crack front in a plate, it has been reported that this technique does not affect the calculation of the results [18,19]. As shown in Fig.…”

“…elastic stress intensity factors, elastic-plastic J-integrals and CODs, used for predicting crack growth behavior due to fatigue or primary water stress corrosion cracking (PWSCC), instability and leak rate [16][17][18][19][20][21]. For instance, Huh and Shim [18,19] have proposed the elastic stress intensity factor and COD solutions for a plate and a pipe by performing 3-dimensional (3-D) elastic FE analyses as tabular solutions. Also, Yellowes et al [20] presented the distributions of J-integral along the crack front based on limit FE analyses for a plate with a NiTWC.…”

Influence of Form Defect on the Mechanical Behavior and Stress Intensity Factor of Shrink-Fitted Thick-Walled Cylinders

“…Fatigue life prediction taking into account the effect of residual stress distribution by SIFs, has been proposed by Bahloul et al [9] who developed an improved calculation model. The finite element model for the calculation of elastic stress intensity factors and crack opening displacements in a cracked cylinder through the inclined axial wall subjected to internal pressure has been used by Huh et al [10]. This model and the analysis procedure have been validated against existing solutions.…”