Elasto-plastic contact problems with heat exchange

0435823 - MÚ 2015 RIV GB eng J - Journal Article
Krejčí, Pavel - Petrov, A.
Elasto-plastic contact problems with heat exchange.
Nonlinear Analysis: Real World Applications. Roč. 22, April (2015), s. 551-567. ISSN 1468-1218. E-ISSN 1878-5719
R&D Projects: GA ČR GAP201/10/2315
Institutional support: RVO:67985840
Keywords : elasto-plasticity * heat equation * hysteresis operators
Subject RIV: BA - General Mathematics
Impact factor: 2.238, year: 2015
http://www.sciencedirect.com/science/article/pii/S1468121814001278

This paper deals with a dynamical model for the motion of a one-dimensional visco-elasto-plastic body in contact with an elasto-plastic obstacle and undergoing thermal expansion. The problem for the unknown displacement and temperature is rewritten in accordance with the formalism of hysteresis operators as solution operators of the underlying variational inequalities. The system consists of the momentum balance and energy balance equations. The existence result for this thermodynamically consistent problem is obtained by using some a priori estimates established for the space discretized problem while the uniqueness result follows from the Lipschitz continuity of the nonlinearities.
Permanent Link: http://hdl.handle.net/11104/0239678