  In recent years a local probabilistic model for low cycle fatigue (LCF) based
on the statistical size effect has been developed and applied on engineering
components. Here, the notch support extension based on the stress gradient
effect is described in detail, as well as an FEA-based parameter calibration.
An FEA is necessary to simulate non-homogeneous stress fields in non-smooth
specimens which exhibit gradients and determine size effects. The hazard
density approach and the surface integration over the FEA stress lead to
geometry-independent model parameters. Three different materials (superalloys
IN-939, Rene80, steel 26NiCrMoV14-5) and three different geometry types
(smooth, notch, cooling hole specimens) are considered for a more comprehensive
validation of the probabilistic LCF model and to demonstrate its wide
application range. At the same time, a reduced testing effort is needed
compared to deterministic model predictions with notch support.
