Convergence of approximations to the primal problem in plasticity under conditions of minimal regularity

This work considers semi-and fully discrete approximations to the primal problem in elastoplas-ticity. The unknowns are displacement and internal variables, and the problem takes the form of an evolution variational inequality. Strong convergence of time-discrete, as well as spatially and fully discrete approximations, is established without making any assumptions of regularity over and above those established in the proof of well-posedness of this problem.