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Durability > Durability theory > Understanding cyclic stress-strain behavior

Power hardening model

The power hardening cyclic stress-strain equation used in the durability solver can be written as:

if
if

where

  • is the stress amplitude.

  • is the strain amplitude.

  • νe is Poisson's ratio.

  • r is the stress biaxial ratio.

  • E is the modulus of elasticity.

  • n is the strain hardening coefficient material property.

  • H is the cyclic strength coefficient material property.

  • σ0 is the cyclic yield strength given by the following equation:

Ramberg-Osgood model
Power hardening model
Linear model
Monotonic curve
Cyclic yield
Monotonic yield
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Understanding cyclic stress-strain behavior

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Power hardening model, Simcenter 3D 2021.1 Series

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Source: https://docs.sw.siemens.com/en-US/doc/289054037/PL20200601120302950.advanced/id986789 · retrieved 2026-07-17