ELEUTERI, Michela, Chiara GAVIOLI and Jana KOPFOVÁ. Fatigue and phase transition in an oscillating elastoplastic beam. Mathematical Modelling of Natural Phenomena. Les Ulis Cedex A (France): EDP Sciences S A, 2020, vol. 15, No 41, p. "41-1"-"41-27", 27 pp. ISSN 0973-5348. Available from: https://dx.doi.org/10.1051/mmnp/2019052.
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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
Original 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
WWW Mathematical Modelling of Natural Phenomena
RIV identification code RIV/47813059:19610/20:A0000077
Organization unit Mathematical Institute in Opava
Doi http://dx.doi.org/10.1051/mmnp/2019052
UT WoS 000574571300001
Keywords in English elastoplasticity; Prandtl-Ishlinskii model; phase transition; fatigue; strong solution
Tags MÚ
Tags International impact, Reviewed
Changed by Changed by: Mgr. Aleš Ryšavý, učo 28000. Changed: 23/3/2021 13:25.
Abstract
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.
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