# American Institute of Mathematical Sciences

August  2020, 13(8): 2271-2284. doi: 10.3934/dcdss.2020188

## Well-posedness of a one-dimensional nonlinear kinematic hardening model

 1 Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria 2 Istituto di Matematica Applicata e Tecnologie Informatiche E. Magenes, v. Ferrata 1, 27100 Pavia, Italy

Received  March 2018 Revised  October 2018 Published  November 2019

We investigate the quasistatic evolution of a one-dimensional elastoplastic body at small strains. The model includes general nonlinear kinematic hardening but no nonlocal compactifying term. Correspondingly, the free energy of the medium is local but nonquadratic. We prove that the quasistatic evolution problem admits a unique strong solution.

Citation: David Melching, Ulisse Stefanelli. Well-posedness of a one-dimensional nonlinear kinematic hardening model. Discrete & Continuous Dynamical Systems - S, 2020, 13 (8) : 2271-2284. doi: 10.3934/dcdss.2020188
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