page_title: Rainflow-counting algorithm
hierarchical_section_title: Rainflow-counting algorithm
caption_attribution_description: English: Example of a steady stress history. Uniform alternating loading (Rainflow-counting algorithm).
context_page_description: The rainflow-counting algorithm is used in the analysis of fatigue data in order to reduce a spectrum of varying stress into an equivalent set of simple stress reversals. The method successively extracts the smaller interruption cycles from a sequence, which models the material memory effect seen with stress-strain hysteresis cycles. This simplification allows the fatigue life of a component to be determined for each rainflow cycle using either Miner's rule to calculate the fatigue damage, or in a crack growth equation to calculate the crack increment. The algorithm was developed by Tatsuo Endo and M. Matsuishi in 1968.
  The rainflow method is compatible with the cycles obtained from examination of the stress-strain hysteresis cycles. When a material is cyclically strained, a plot of stress against strain shows loops forming from the smaller interruption cycles. At the end of the smaller cycle, the material resumes the stress-strain path of the original cycle, as if the interruption had not occurred. The closed loops represent the energy dissipated by the material.
context_section_description: The rainflow-counting algorithm is used in the analysis of fatigue data in order to reduce a spectrum of varying stress into an equivalent set of simple stress reversals. The method successively extracts the smaller interruption cycles from a sequence, which models the material memory effect seen with stress-strain hysteresis cycles. This simplification allows the fatigue life of a component to be determined for each rainflow cycle using either Miner's rule to calculate the fatigue damage, or in a crack growth equation to calculate the crack increment. The algorithm was developed by Tatsuo Endo and M. Matsuishi in 1968. 
  The rainflow method is compatible with the cycles obtained from examination of the  stress-strain hysteresis cycles. When a material is cyclically strained, a plot of stress against strain shows loops forming from the smaller interruption cycles. At the end of the smaller cycle, the material resumes the stress-strain path of the original cycle, as if the interruption had not occurred. The closed loops represent the energy dissipated by the material.
caption: Figure 1: Uniform alternating loading
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