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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@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 and 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, 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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