J-integral and limit load analysis of semi-elliptical surface cracks in plates under bending

Mismatch limit loads and approximate J estimates for tensile plates with constant-depth surface cracks in the center of welds

“…It can be seen that agreement between estimated J and FE results is not so good, compared to that for through-wall cracks, although general trends are quite similar. Estimation of J based on the reference stress approach for part-through surface cracks is an importance issue, requiring extensive systematic investigation, for instance, see Miller and Ainsworth (1989), Kim et al (2002), Lei (2004) and Kim and Shim (2005). Such an issue, however, is beyond the scope of this work.…”

Net-section limit moments and approximate J estimates for circumferential cracks at the interface between elbows and pipes

“…The first one is that, for part-through surface cracks, limit loads can be defined by local yielding (''local'' limit load), or by net-section yielding (''global'' limit load). It has been reported that global limit loads were more relevant to define the reference stress than local ones [23][24][25][26][27]. The second point is that, although a simple choice of M ref is the plastic limit load for the cracked component of interest, it has been also shown that such a choice does not necessarily provide best results and thus another choice can be made for best J estimates [23,24,[28][29][30].…”

A review of limit load solutions for cylinders with axial cracks and development of new solutions

“…20) are generally obtained from solutions for cracked plates under combined tension and bending [1,9,20,21], ignoring the effect of curvature. In R6 [1], the limit load solution for a thinwalled cylinder with an internal axial surface crack under combined membrane and through-wall bending stresses is a local solution based on the plate solution due to Goodall and Webster [22] and Lei [23,24]. Actually, this solution can be extended to thick-walled cylinders with internal/external surface cracks as long as the bending stress tends to open the crack because the plate solution [22][23][24] was derived for any thickness of the plate.…”