The Ogden-Roxburgh model is an approach which extends hyperelastic material models to allow for the Mullins effect. It is used in several commercial finite element codes, and is named for R.W. Ogden.
The basis of pseudo-elastic material models is a hyperelastic second Piola–Kirchhoff stress
The key idea of pseudo-elastic material models is that the stress during the first loading process is equal to the basic stress
It was shown that this idea can also be used to extend arbitrary inelastic material models for softening effects.