Elasto-plastic contact problems with heat exchange and fatigue

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:459

Article

Eleuteri, Michela¹  Kopfova, Jana² 

[1] Univ Modena & Reggio Emilia, Dipartimento Sci Fis Informat & Matemat, Via Campi 213-b, I-41125 Modena, Italy

[2] Silesian Univ, Math Inst, Rybnicku 1, Opava 74601, Czech Republic

关键词: Elasto-plasticity;    Hysteresis operators;    Material fatigue;    Contact boundary conditions;   

DOI  :  10.1016/j.jmaa.2017.10.068

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free