MURPHYS-HSFS-2014 - 7th International Workshop on Multi-Rate Processes & Hysteresis, 2nd International Workshop on Hysteresis and Slow-Fast Systems, April 7-11, 2014 - Abstract

Kopfová, Jana

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

We study fatigue accumulation in an oscillating elastoplastic beam under the additional hypothesis that the material can partially recover by the effect of melting. The model is based on the hypotheses that there exists a proportionality between fatigue and dissipated energy. 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. This is a joint work with Pavel Krejčí and Michela Eleuteri.