SECOND ORDER INTEGRATION ALGORITHMS FOR J2 PLASTICITY WITH GENERALIZED ISOTROPIC/KINEMATIC HARDENING

In this work four algorithms are presented for the integration of equations governing thebehavior of von Mises material in plastic limit. Two of them are single-step and the othersare double-step algorithms. Single-step algorithms are straight forward extension ofbackward Euler method or midpoint rule while double-step algorithms are a combination oftwo. In past similar algorithms were proposed for special cases of isotropic/kinematichardening; however the algorithms presented in this work are applicable to generalisotropic/kinematic hardening laws. Theoretical as well as numerical aspects are presentedfor all integration schemes and elaborated for double-step algorithms which are lessexplored in the literature. A comparison is made between the presented algorithms and the classical backward Euler method.