J
2020
Fatigue and phase transition in an oscillating elastoplastic beam
ELEUTERI, Michela, Chiara GAVIOLI and Jana KOPFOVÁ
Basic 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
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
France
Confidentiality degree
není předmětem státního či obchodního tajemství
RIV identification code
RIV/47813059:19610/20:A0000077
Organization unit
Mathematical Institute in Opava
Keywords in English
elastoplasticity; Prandtl-Ishlinskii model; phase transition; fatigue; strong solution
Tags
International impact, Reviewed
V originále
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.
Displayed: 26/12/2024 12:35