  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.
