TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Tchoffo Ngoula, D. A1 - Beier, T. A1 - Vormwald, M. T1 - Cyclic J-integral: Numerical and analytical investigations for surface cracks in weldments N2 - The cyclic J-integral (∆J-integral) is a crack tip parameter of elastic-plastic fracture mechanics which can be used as governing parameter for the description of fatigue crack growth (FCG) in metallic structures. In this contribution, it is applied for modelling FCG in weldments. The ∆J-integral is determined by means of analytical approximation formulas as well as numerical methods. An analytical solution, which takes into account effects of the local ligament plasticity, was derived. This solution is based on well established methods such as R6, BS7910 and SINTAP which were modified for cyclic loading. It incorporates methods for the description of short crack closure behaviour as well as the well known analytical (long) crack closure function of Newman. A specific code was written to evaluate the ∆J-integral numerically in the course of finite element based crack growth simulations. The code was first validated for an infinite plate with centre crack by applying elastic and elastic-plastic material behaviour. Next, the ∆J-integral was calculated for cracks in various butt and cruciform welded joints. The results were compared with the results of the derived analytical approximation formula. A good accordance was achieved between the results. KW - Cyclic J-integral KW - Elastic-plastic fracture mechanics KW - Fatigue crack growth KW - Short cracks KW - Weldments PY - 2018 U6 - https://doi.org/10.1016/j.engfracmech.2017.06.023 SN - 0013-7944 VL - 198 SP - 22 EP - 44 PB - Elsevier AN - OPUS4-46857 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER - TY - JOUR A1 - Zerbst, Uwe A1 - Madia, Mauro A1 - Vormwald, M. A1 - Beier, T. T1 - Fatigue strength and fracture mechanics - A general perspective N2 - Common fracture mechanics based fatigue considerations are usually limited to the residual lifetime determination of so-called long cracks. The extension of this concept to the total lifetime, as in the S-N curve approach, requires an adequate description of short crack propagation which cannot be based on the Delta K concept, and it must consider the crack closure phenomenon as well as its gradual build-up at the short crack stage. Further, it has to provide a meaningful definition of initial crack dimensions and a solution for the multiple crack problem at stress levels higher than the fatigue limit as it is specific for some configurations such as weldments. This paper aims at a discussion of all these points and offers possible solutions which are illustrated by examples taken from the German IBESS project on fracture mechanics based determination of the fatigue strength of weldments, the results of which will be discussed in more detail in this Special issue. KW - Fatigue strength KW - Endurance limit KW - Fracture mechanics KW - Short crack propagation KW - Multiple cracking KW - Weldments PY - 2018 U6 - https://doi.org/10.1016/j.engfracmech.2017.04.030 SN - 0013-7944 SN - 1873-7315 VL - 198 SP - 2 EP - 23 PB - Elsevier AN - OPUS4-46862 LA - eng AD - Bundesanstalt fuer Materialforschung und -pruefung (BAM), Berlin, Germany ER -