Naslov
Application of Lagrange Multipliers in Numerical Analysis of the Contact Problems

Autori
Vlak, Frane ; Marović, Pavao ; Lozina, Željan

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 3rd International Congress of Croatian Society of Mechanics / Marović, Pavao - Zagreb : T.D.BIRO, 2000, 137-144

Skup
3rd International Congress of Croatian Society of Mechanics

Mjesto i datum
Cavtat, Hrvatska, 28.09.2000. - 30.09.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
finite elements ; contact problems ; Lagrange multipliers ; friction

Sažetak
This paper presents an algorithm for the numerical analysis of two-dimensional static contact problems, with or without Coulomb's law of friction. The displacement compatibility over contacting surfaces is ensured using Lagrange multiplier method. It also presents, as an integral part of the solution procedure, a contact searching algorithm, which determines the possible contacting pairs according to the node-to-segment approach. The contact forces before friction update are calculated from the externally applied loads and internal element stresses. The friction update of the contact forces is accomplished by a local consideration of the nodal point forces and by considering the distributed tractions over contact segments. The efficiency of the presented numerical model is tested on Hertz contact problem.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo

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