Non-isothermal cyclic fatigue in an oscillating elastoplastic beam

0394927 - MÚ 2014 RIV US eng J - Článek v odborném periodiku
Eleuteri, M. - Kopfová, J. - Krejčí, Pavel
Non-isothermal cyclic fatigue in an oscillating elastoplastic beam.
Communications on Pure and Applied Analysis. Roč. 12, č. 6 (2013), s. 2973-2996. ISSN 1534-0392. E-ISSN 1553-5258
Grant CEP: GA ČR GAP201/10/2315
Institucionální podpora: RVO:67985840
Klíčová slova: elastoplastic beam * material fatigue * hysteresis
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.708, rok: 2013
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=8556

We propose a temperature dependent model for fatigue accumulation in an oscillating elastoplastic beam. The full system consists of the momentum and energy balance equations, and an evolution equation for the fatigue rate. The main modeling hypothesis is that the fatigue accumulation rate is proportional to the dissipation rate. In nontrivial cases, the process develops a thermal singularity in finite time. The main result consists in proving the existence and uniqueness of a strong solution in a time interval depending on the size of the data.
Trvalý link: http://hdl.handle.net/11104/0223079