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arXiv · 2605.10392

hp-Finite Elements for Elastoplasticity

Patrick Bammer·Lothar Banz·Miriam Schönauer·Andreas Schröder
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Abstract

This article considers a model problem of elastoplasticity with linearly kinematic hardening and presents hp-finite element discretizations of two equivalent weak formulations each having their respective advantages. A mixed variational formulation is introduced to resolve the non-differentiablility of the so-called plasticity functional appearing in the weak formulation of the model problem as a variational inequality of the second kind. The discretization of the mixed formulation is then represented as a system of decoupled nonlinear equations which allows the application of an efficient semismooth Newton solver. Finally, an a priori and a posteriori error analysis is given.

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Patrick Bammer, Lothar Banz, Miriam Schönauer, Andreas Schröder. 2026-05-11. hp-Finite Elements for Elastoplasticity. https://arxiv.org/abs/2605.10392

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