Fatigue and phase transition in an oscillating elastoplastic beam

@article{49245,
   author = {Eleuteri, Michela and Gavioli, Chiara and Kopfová, Jana},
   article_location = {Les Ulis Cedex A (France)},
   article_number = {41},
   doi = {http://dx.doi.org/10.1051/mmnp/2019052},
   keywords = {elastoplasticity; Prandtl-Ishlinskii model; phase transition; fatigue; strong solution},
   language = {eng},
   issn = {0973-5348},
   journal = {Mathematical Modelling of Natural Phenomena},
   title = {Fatigue and phase transition in an oscillating elastoplastic beam},
   url = {https://www.mmnp-journal.org/articles/mmnp/abs/2020/01/mmnp180210/mmnp180210.html},
   volume = {15},
   year = {2020}
}

TY  - JOUR
ID  - 49245
AU  - Eleuteri, Michela - Gavioli, Chiara - Kopfová, Jana
PY  - 2020
TI  - Fatigue and phase transition in an oscillating elastoplastic beam
JF  - Mathematical Modelling of Natural Phenomena
VL  - 15
IS  - 41
SP  - "41-1"-"41-27"
EP  - "41-1"-"41-27"
PB  - EDP Sciences S A
SN  - 09735348
KW  - elastoplasticity
KW  - Prandtl-Ishlinskii model
KW  - phase transition
KW  - fatigue
KW  - strong solution
UR  - https://www.mmnp-journal.org/articles/mmnp/abs/2020/01/mmnp180210/mmnp180210.html
N2  - 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.
ER  - 

ELEUTERI, Michela, Chiara GAVIOLI a Jana KOPFOVÁ. Fatigue and phase transition in an oscillating elastoplastic beam. \textit{Mathematical Modelling of Natural Phenomena}. Les Ulis Cedex A (France): EDP Sciences S A, roč.~15, č.~41, s.~''41-1''-''41-27'', 27 s. ISSN~0973-5348. doi:10.1051/mmnp/2019052. 2020.