| MICHELA, Eleuteri a Jana KOPFOVÁ. Elasto-plastic contact problems with heat exchange and fatigue. Journal of Mathematical Analysis and Applications. San Diego (USA): Academic Press Inc. Elsevier Science, 2018, roč. 459, č. 1, s. 82-111. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2017.10.068. |
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@article{29861,
author = {Michela, Eleuteri and Kopfová, Jana},
article_location = {San Diego (USA)},
article_number = {1},
doi = {http://dx.doi.org/10.1016/j.jmaa.2017.10.068},
keywords = {Elasto-plasticity; Hysteresis operators; Material fatigue; Contact boundary conditions},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Elasto-plastic contact problems with heat exchange and fatigue},
url = {https://www.sciencedirect.com/science/article/pii/S0022247X17309812},
volume = {459},
year = {2018}
}
TY - JOUR
ID - 29861
AU - Michela, Eleuteri - Kopfová, Jana
PY - 2018
TI - Elasto-plastic contact problems with heat exchange and fatigue
JF - Journal of Mathematical Analysis and Applications
VL - 459
IS - 1
SP - 82-111
EP - 82-111
PB - Academic Press Inc. Elsevier Science
SN - 0022247X
KW - Elasto-plasticity
KW - Hysteresis operators
KW - Material fatigue
KW - Contact boundary conditions
UR - https://www.sciencedirect.com/science/article/pii/S0022247X17309812
L2 - https://www.sciencedirect.com/science/article/pii/S0022247X17309812
N2 - We deal with a one-dimensional temperature dependent model for fatigue accumulation in a moving visco-elasto-plastic material in contact with an elasto-plastic obstacle. The problem for the unknown displacement and temperature is formulated using hysteresis operators as solution operators of the underlying variational inequalities. The existence result for this problem, consisting of the momentum and energy balance equations and an evolution equation for the fatigue, is obtained using a priori estimates established for the space discretized problem. The uniqueness result follows from the Lipschitz continuity of the nonlinearities.
ER -
MICHELA, Eleuteri a Jana KOPFOVÁ. Elasto-plastic contact problems with heat exchange and fatigue. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Academic Press Inc. Elsevier Science, 2018, roč.~459, č.~1, s.~82-111. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2017.10.068.
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