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June  2015, 35(6): 2465-2495. doi: 10.3934/dcds.2015.35.2465

## A new phase field model for material fatigue in an oscillating elastoplastic beam

 1 Dipartimento di Matematica ed Informatica “U. Dini”, viale Morgagni 67/a, I-50134 Firenze, Italy 2 Mathematical Institute of the Silesian University, Na Rybníčku 1, 746 01 Opava 3 Institute of Mathematics, Czech Academy of Sciences, Žitná 25, CZ-11567 Praha 1

Received  December 2013 Revised  April 2014 Published  December 2014

We pursue the study of fatigue accumulation in an oscillating elastoplastic beam under the additional hypothesis that the material can partially recover by the effect of melting. The full system consists of the momentum and energy balance equations, an evolution equation for the fatigue rate, and a differential inclusion for the phase dynamics. The main result consists in proving the existence and uniqueness of a strong solution.
Citation: Michela Eleuteri, Jana Kopfová, Pavel Krejčí. A new phase field model for material fatigue in an oscillating elastoplastic beam. Discrete & Continuous Dynamical Systems - A, 2015, 35 (6) : 2465-2495. doi: 10.3934/dcds.2015.35.2465
##### References:

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##### References:
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