Consistent integration of the constitutive equations of Gurson materials under adiabatic conditions

In this paper, a consistent integration procedure for the thermoviscoplastic version of the complete Gurson model is proposed. With adiabatic conditions considered and with the use of the backward Euler integration scheme, a numerical algorithm implicit in all variables as well as the corresponding algorithmic operator have been developed. The proposed algorithm was implemented in a finite element code and its performance is demonstrated with the numerical simulation of different examples.