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Neuber's approach to micro-yielding

Neuber has proposed a modification factor that accounts for micro-structural size variations in a semi-empirical form, as shown in figure below. The factor is based on considering the average stress on material elements (that is, grains) at locations of notches where stress gradients exist.

Neuber’s Approach to Micro-Yielding

where

The correction factor n is determined by

The next chart shows values of typical parameters for different steels and an aluminum alloy.

Typical Lengths for the Neuber Approach

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The fatigue notch factor

Examples for size effects

Stress gradients

Theoretical concepts

Application of the theory

Macroscopic yielding

Summary for size effects

Surface effects

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Neuber's approach to micro-yielding, Simcenter 3D 2021.1 Series

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/xid1604235 · retrieved 2026-07-17