@misc{Chudzikiewicz_Andrzej_(1949–_)_Augmented_2002, author={Chudzikiewicz, Andrzej (1949– ) and Myśliński, Andrzej}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2002}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, abstract={This paper deals with numerical solution of wheel – rail rolling contact problems. The unilateral dynamic contact problem between a viscoelastic body and a rigid foundation is considered. The contact with Coulomb friction law occurs at a portion of the boundary of the body. The contact condition is described in velocities. The friction coefficient is assumed to be bounded and suitable small. A frictional heat generation and heat transfer across the contact surface as well as Archard’s law of wear in contact zone assumed. To solve numerically this contact problem we will decouple it into mechanical and thermal parts. Finite difference and finite element methods are used to discretize the contact problem. The Augmented Lagrangian technique combined with the active set method are employed to solve the discretized contact problem. Numerical examples are provided.}, title={Augmented Lagrangian Approach for Wheel - Rail Thermoelastic Contact Problem with Friction and Wear}, type={Text}, URL={http://rcin.org.pl/Content/129958/PDF/RB-2002-83.pdf}, keywords={Rolling contact, Heat flow, Augmented lagrangian methods, Styk toczny, Zużycie, Wpływ ciepła, Wear}, }