Duality results and regularization schemes for Prandtl–Reuss perfect plasticity

@article{Hintermueller2021DualityRA,
  title={Duality results and regularization schemes for Prandtl–Reuss perfect plasticity},
  author={Michael Hintermueller and Simon Roesel},
  journal={ESAIM: Control, Optimisation and Calculus of Variations},
  year={2021}
}
We consider the time-discretized problem of the quasi-static evolution problem in perfect plasticity posed in a non-reflexive Banach space. Based on a novel equivalent reformulation in a reflexive Banach space, the primal problem is characterized as a Fenchel dual problem of the classical incremental stress problem. This allows to obtain necessary and sufficient optimality conditions for the time-discrete problems of perfect plasticity. Furthermore, the consistency of a primal-dual… 
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