Numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface plasticity model

The work presents the numerical implementation of the multiplicative hyperelastic-based Extended Subloading Surface model. The theoretical development of the constitutive equations of the unconventional plasticity theory has already been formulated in the literature. However, its application to finite element simulations has been not proposed yet. In particular, this paper discusses in detail the adaptation of the constitutive equation from a theoretical to a computation point of view, highlighting the numerical strategies adopted by the authors. Moreover, a comparison of the predictive response between the additive hypo- and multiplicative hyperelastic-based versions of the Extended Subloading Surface model is offered through a series of numerical examples. •Unconventional multiplicative hyperelastic-based plasticity model.•Fully implicit return mapping scheme based on the tensor exponential method.•Comparison between hypo- and hyperelastic-based Extended Subloading Surface models.•Numerical consistent tangent operator in the intermediate configuration.•Validation against data in the literature under monotonic/cyclic loading conditions.•Non-linear isotropic and kinematic hardening laws.