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The correct determination of fatigue crack propagation data is of great importance for the damage tolerance design of engineering components, especially with regard to the calculation of residual lifetime and the establishment of inspection intervals. The fatigue crack propagation threshold Δ𝐾th, in this respect, is a crucial input parameter for simulating crack growth, since it corresponds to the stress intensity factor range at which a non-growing crack starts to propagate. However, the experimental determination of Δ𝐾th, as well as its application, is still confronted with few issues related among others to the load ratio (R) dependency of Δ𝐾th, the testing procedure, and environmental effects. These can lead to large scatter and significant errors in the prediction of component failure. In this context, the use of the intrinsic fatigue crack propagation threshold Δ𝐾th,eff in component assessment is a promising alternative, since it does not depend on a number of factors that affect Δ𝐾th, but only on the elastic properties (𝐸-modulus) and the lattice (Burger’s vector ‖𝑏‖) of the material. The aim of the present work is therefore to investigate different experimental procedures for the determination of Δ𝐾th,eff, namely: (a) conventional load reduction (LR) procedures, (b) the 𝐾max procedure and (c) compression pre-cracking load reduction and constant amplitude (respectively CPLR and CPCA) methods. Furthermore, the determination of Δ𝐾th has been carried out varying some testing parameters, such as test frequency, Δ𝐾 at the beginning of the crack propagation test (Δ𝐾0) and stress ratio (R). The results are statistically analyzed and a discussion about the use of Δ𝐾th and Δ𝐾th,eff for the component fatigue assessment is presented.
The present paper provides a discussion on all these topics and it offers solutions for it. The authors present an analytical solution of a Delta J based crack driving force based on an R6 type approach but modified for cyclic loading. The gradual build-up of the crack closure effect is modelled by the so-called cyclic R curve which describes the crack size dependency of the fatigue crack propagation threshold in the short crack regime. It is explained how the cyclic R curve is experimentally determined and how it can be estimated by a modified Kitagawa-Takahashi approach.
Semi-probabilistic method for residual lifetime of aluminothermic welded rails with foot cracks
(2016)
One of the most frequent and dangerous failure modes in continuous welded rails is fatigue crack Propagation terminated by brittle fracture. Due to the brittleness of the weld material and HAZ and the scatter in its mechanical properties, a statistical approach is necessary. The paper deals with surface cracks at the foot base of aluminothermic welded rails, developing a probabilistic methodology for determining the day by day prospective failure probability. The investigations presented here comprise weld material characterization, simulation of fatigue crack propagation and finally the determination of the failure probability using the Monte Carlo method. The effect of various parameters, such as axle weight, Initial crack size, residual stresses, fatigue crack propagation threshold and date of inspection were analyzed.
The results show that, independent of the date of the last inspection, almost any failure event happens in wintertime. This is in accordance with practical experience. However, from the proposed analysis it is evident that the main parameter controlling rail fracture is not only the minimum local temperature, but the temperature range over the whole year. Finally, the results are compared to the standard rail classification method.