Code to estimate the saturation of the isotropic hardening of a Chaboche model
The code is included in an example in a Jupyter Notebook.
For more theoretical background, please check out the paper, and if you use this code or find it useful, please cite https://doi.org/10.1016/j.compositesb.2023.110715.
Saturation Criterion
The saturation criterion in this code is defined by the following equation:
Where:
-
$( \sigma_{\text{amp},i} )$ is the amplitude of the stress (maximal or minimal stress) at cycle i. -
$( \sigma_{\text{amp},1} )$ is the amplitude of stress for the first cycle. -
$( \sigma_{\text{amp},S} )$ is the amplitude of the stress at the saturated cycle.
By performing this criterion iteratively, the saturation of a Chaboche model can be determined. This algorithm is useful for defining the saturation of strain-controlled samples. It tracks the saturation of the maximal stresses, thereby enabling the extraction of the saturated strain range.