Abstract
A method is developed to evaluate the stress intensity factors (SIFs) for semi-elliptical circumferential cracks located at the inner wall of a pipe under arbitrary welding residual stress distribution. To accomplish this, at first, the three-dimensional finite element analysis (FEA) is performed employing singular elements along the crack front. Next, the weight function (WF) is incorporated in conjunction with the finite element results to predict the SIFs of semi-elliptical circumferential cracks in pipes. Then, the presented WF is extended to estimate the SIFs of fully circumferential cracks in pipes. Moreover, a closed-form formulation of SIFs is presented as a function of arbitrary loading condition and crack geometry. Finally, the closed-form relation has been used to predict the stress intensity factors of circumferential cracks under highly nonlinear residual stress fields. Comparison of the results and those in the literature shows an acceptable agreement.
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