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Specialist Durability > Durability theoretical background > Introduction to fatigue > Non-local and surface effects

Stress gradients

It is a well-accepted concept in durability analysis that even though the process of fatigue is more or less governed by the local stress tensor histories there are also so called non-local effects. The observations: the larger the highly stressed areas are, the higher the local damages. If the high stress is concentrated to a very small region, then the damaging effect is smaller.

The normalized stress gradient is one (well-accepted) approach to account for this phenomenon.

For further details, please refer to the following topics:

Theoretical concepts

Application of the theory

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The fatigue notch factor

Examples for size effects

Theoretical concepts

Application of the theory

Macroscopic yielding

Neuber's approach to micro-yielding

Summary for size effects

Surface effects

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Stress gradients, Simcenter 3D 2021.1 Series

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/xid1604231 · retrieved 2026-07-17