Stress-update algorithms for Bigoni-Piccolroaz yield criterion coupled with a generalized function of kinematic hardening laws

A broad-ranging plasticity model is constructed by combining Bigoni-Piccolroaz yield function with a sweeping expression of kinematic hardening. Subsequently, two explicit and implicit update algorithms are developed to compute the stress from the rate equations of the plasticity in an incremental elastoplastic finite element analysis. The integrations are based on Forward and Backward Euler schemes. Considering a number of varying materials and the associated plasticity models, the proposed formulations are examined by means of a comprehensive set of numerical investigations. These include investigations to verify the suggested strategies along with two numerical simulations carried out by implementing the algorithms in a nonlinear finite element code. The versatility of the formulae allows for an expansive choice of elastoplastic constitutive models with a simple adjustment of a few parameters.