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Application of Lagrange Multipliers in Numerical Analysis of the Contact Problems (CROSBI ID 475368)

Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija

Vlak, Frane ; Marović, Pavao ; Lozina, Željan Application of Lagrange Multipliers in Numerical Analysis of the Contact Problems // Proceedings of the 3rd International Congress of Croatian Society of Mechanics / Marović, Pavao (ur.). Zagreb: T.D.BIRO, 2000. str. 137-144

Podaci o odgovornosti

Vlak, Frane ; Marović, Pavao ; Lozina, Željan

engleski

Application of Lagrange Multipliers in Numerical Analysis of the Contact Problems

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.

finite elements ; contact problems ; Lagrange multipliers ; friction

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Podaci o prilogu

137-144.

2000.

objavljeno

Podaci o matičnoj publikaciji

Proceedings of the 3rd International Congress of Croatian Society of Mechanics

Marović, Pavao

Zagreb: T.D.BIRO

Podaci o skupu

3-rd International Congress of Croatian Society of Mechanics

predavanje

28.09.2000-30.09.2000

Cavtat, Hrvatska

Povezanost rada

Strojarstvo