A closed form for the Stress Intensity Factor of a small embedded square-like flaw

Abstract

In the present work, the stress intensity factor (SIF) of a small embedded square-like flaw is calculated by means of a procedure based on the Oore-Burns integral. An explicit equation is given to evaluate the SIF along the two axes of symmetry that correspond to the points where the SIF takes its maximum and minimum value on the contour crack. The SIF is calculated in accordance with FE numerical results.

The Stress Intensity Factor of convex embedded polygonal cracks

“…In the case of a square-like flaw, the Oore-Burns integral can be analytically expressed in simplified form in the middle of the side and in the middle of the rounded corner [24]. The Oore-Burns integral will be approximated by means of Riemann sums plus a suitable asymptotic correction in terms of mesh size [25,26].…”

“…7 and 8 show a three-dimensional model and the FE model, respectively. The mesh is refined only near the point of interest where the SIF is evaluated as proposed in previous works [22][23][24][25]. The dimensions of smaller elements at the tip of the crack were in the order of 10 -5 mm.…”