# Combined Notch and Size Effect Modeling in a Local Probabilistic Approach for LCF

Source: [Combined Notch and Size Effect Modeling in a Local Probabilistic Approach for LCF](<https://www.sota2.com/research/paper/68fa36431e209131ce8a8778>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:53:57.497Z

Authors: Lucas M\\"ade, Sebastian Schmitz, Hanno Gottschalk, Tilman Beck

Published: 2017-09-01T14:08:40.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1709.00320>)

[PDF](<https://arxiv.org/pdf/1709.00320.pdf>)