A micropolar isotropic plasticity formulation for non‐associated flow rule and softening featuring multiple classical yield criteria

The Cosserat continuum is used in this paper to regularize the ill-posed governing equations of Cauchy/Maxwell continuum. Most available constitutive models adopt yield and plastic potential surfaces with a circular deviatoric section. This too crude an approximation which hinders application into practice, particularly geotechnical domain. An elasto-plastic model for linear formulation here presented, features non-associated flow hardening/softening behaviour, whilst hyper-elasticity adopted reproduce recoverable response. For functions, definition \textit{equivalent von Mises stress} based on Hencky's interpretation criterion also theory representations. dependency Lode's angle both functions introduced through adoption recently proposed \textit{Generalized classical} criterion, rigorously defines most classical failure criteria.