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

0439237 - MÚ 2016 RIV US eng J - Journal Article
Eleuteri, M. - Kopfová, J. - Krejčí, Pavel
A new phase field model for material fatigue in an oscillating elastoplastic beam.
Discrete and Continuous Dynamical Systems. Roč. 35, č. 6 (2015), s. 2465-2495. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR GAP201/10/2315
Institutional support: RVO:67985840
Keywords : hysteresis * fatigue * phase transition
Subject RIV: BA - General Mathematics
Impact factor: 1.127, year: 2015
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10680

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.
Permanent Link: http://hdl.handle.net/11104/0242551