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
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Macroscopic yielding
Neuber's approach to micro-yielding
Summary for size effects
Surface effects
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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/xid1604231 · retrieved 2026-07-17