@article{33994,
   author = {Kopfová, Jana and Eleuteri, Michela},
   article_location = {San DIego},
   article_number = {5},
   doi = {http://dx.doi.org/10.1016/j.jde.2018.04.020},
   keywords = {Nonisothermal Cyclic Fatigue; Hysteresis Models; Elastic-Materials; Contact Problems; Heat-Exchange; Small Strain},
   language = {eng},
   issn = {0022-0396},
   journal = {Journal of Differential Equations},
   title = {On a new model for fatigue and phase transition in an oscillating elastoplastic plate},
   url = {https://www.sciencedirect.com/science/article/pii/S0022039618302110?via%3Dihub},
   volume = {265},
   year = {2018}
}

TY  - JOUR
ID  - 33994
AU  - Kopfová, Jana - Eleuteri, Michela
PY  - 2018
TI  - On a new model for fatigue and phase transition in an oscillating elastoplastic plate
JF  - Journal of Differential Equations
VL  - 265
IS  - 5
SP  - 1839-1874
EP  - 1839-1874
PB  - Academic Press Inc. Elsevier Science
SN  - 0022-0396
KW  - Nonisothermal Cyclic Fatigue
KW  - Hysteresis Models
KW  - Elastic-Materials
KW  - Contact Problems
KW  - Heat-Exchange
KW  - Small Strain
UR  - https://www.sciencedirect.com/science/article/pii/S0022039618302110?via%3Dihub
L2  - https://www.sciencedirect.com/science/article/pii/S0022039618302110?via%3Dihub
N2  - We consider a thermodynamic model for fatigue accumulation in an oscillating elastoplastic plate based on the two hypotheses that the fatigue accumulation rate is proportional to the plastic part of the dissipation rate and that the material can partially recover by the effect of melting. For the full model, consisting of the momentum and energy balances, an evolution equation for the fatigue rate and a differential inclusion for the phase dynamics, we prove existence of a solution in the given time interval.
ER  - 

KOPFOVÁ, Jana and Michela ELEUTERI. On a new model for fatigue and phase transition in an oscillating elastoplastic plate. \textit{Journal of Differential Equations}. San DIego: Academic Press Inc. Elsevier Science, 2018, vol.~265, No~5, p.~1839-1874. ISSN~0022-0396. Available from: https://dx.doi.org/10.1016/j.jde.2018.04.020.