2020
Fatigue and phase transition in an oscillating elastoplastic beam
ELEUTERI, Michela; Chiara GAVIOLI and Jana KOPFOVÁBasic information
Original name
Fatigue and phase transition in an oscillating elastoplastic beam
Authors
ELEUTERI, Michela (380 Italy); Chiara GAVIOLI (380 Italy, guarantor) and Jana KOPFOVÁ (703 Slovakia, belonging to the institution)
Edition
Mathematical Modelling of Natural Phenomena, Les Ulis Cedex A (France), EDP Sciences S A, 2020, 0973-5348
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
France
Confidentiality degree
is not subject to a state or trade secret
References:
Impact factor
Impact factor: 4.157
RIV identification code
RIV/47813059:19610/20:A0000077
Organization unit
Mathematical Institute in Opava
UT WoS
000574571300001
EID Scopus
2-s2.0-85092297006
Keywords in English
elastoplasticity; Prandtl-Ishlinskii model; phase transition; fatigue; strong solution
Tags
Tags
International impact, Reviewed
Changed: 23/3/2021 13:25, Mgr. Aleš Ryšavý
Abstract
In the original language
We study a model of fatigue accumulation in an oscillating elastoplastic beam under the hypothesis that the material can partially recover by the effect of melting. The model is based on the idea that the fatigue accumulation is proportional to the dissipated energy. We prove that the system consisting of the momentum and energy balance equations, an evolution equation for the fatigue rate, and a differential inclusion for the phase dynamics admits a unique strong solution.