%0 Journal Article %T Risk estimation for LCF crack initiation %A Sebastian Schmitz %A Georg Rollmann %A Hanno Gottschalk %A Rolf Krause %J Mathematics %D 2013 %I arXiv %X An accurate risk assessment for fatigue damage is of vital importance for the design and service of today's turbomachinery components. We present an approach for quantifying the probability of crack initiation due to surface driven low-cycle fatigue (LCF). This approach is based on the theory of failure-time processes and takes inhomogeneous stress fields and size effects into account. The method has been implemented as a finite-element postprocessor which uses quadrature formulae of higher order. Results of applying this new approach to an example case of a gas-turbine compressor disk are discussed. %U http://arxiv.org/abs/1302.2909v1