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.
A new phase field model for material fatigue in an oscillating elastoplastic beam / Eleuteri, Michela; Kopfová, Jana; Krejčí, Pavel. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 35:6(2015), pp. 2465-2495. [10.3934/dcds.2015.35.2465]
A new phase field model for material fatigue in an oscillating elastoplastic beam
ELEUTERI, Michela;
2015
Abstract
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.
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