A new explicit algorithm for finite-deformation elastoplasticity and elastoviscoplasticity - Performance evaluation

The performance of a new explicit algorithm recently proposed for rate-independent and rate-dependent elastoplasticity is evaluated, including isotropic, kinematic, and combined isotropic and kinematic workhardening, as well as thermal softening, and noncoaxiality of the plastic strain rate and the deviatoric stress (or stress-difference, when back stress exists). The results are illustrated by means of several examples which show that the technique is incredibly accurate and always stable, essentially independent of the magnitude of the time or strain increment. For implementation in large-scale finite-element computer codes, a simplified version of the new algorithm is proposed, its effectiveness is illustrated, and its relation to the radial-return method is examined.