Abstract

A finite element method for the solution of a bidimensional elastoplastic Hencky problem is formulated and analyzed. The discrete spaces consist of discontinuous piecewise polynomial functions. Convergence results for the discrete displacements are proved. Then, error estimates in ${\bf L}^2 $-norms are stated for the stress tensors, under a piecewise ${\bf H}^2 $-regularity hypothesis that is both weaker than the one commonly used and physically admissible.

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