Application of Lagrange Multipliers in Numerical Analysis of the Contact Problems (CROSBI ID 475368)
Prilog sa skupa u zborniku | izvorni znanstveni rad | međunarodna recenzija
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