A priori error estimates of variational-difference methods for Hencky plasticity problems

In this article, convergence of equilibrium finite-element approximations for variational problems of the Hencky plasticity is analyzed. To obtain a priori error estimates, two regularized problems are considered and additional differentiability properties of their solutions are investigated. This allows us to prove that there is a relation between the parameters of regularization and sampling such that equilibrium approximations of the regularized problems produce a sequence of tensor-functions converging to the solution of the perfectly elasto-plastic problem. Convergence estimates are established. Bibliography: 12 titles.