# Advanced Structural Analysis/Part I - Theory/Failure Modes/Fatigue/Crack Initiation/The Wöhler Curve

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The Wöhler curve, also referred to as the S-N curve, describes the function or . It is based on empirical results and often represents the median of the data scatter.

A significant interval of the curve can be approximated by the Basquin relation

Where is a constant specific to the test case.

The Basquin relation is often presented in the form

where

- cycles

- is the so called
__detail category number__.

## Detail Category Number[edit]

The fatigue detail number defines the Basquin relation and specifies a Wöhler curve. The property is often denoted FAT, C, or in mathematical expressions: .

If there are more than one FAT tied to a geometry-type, they refer to different specifics such as weld quality, loading direction etc. Moreover, the FAT normally corresponds to a fatigue life of cycles.