A COMPARATIVE STUDY OF CONTACT PROBLEMS SOLUTION BASED ON THE PENALTY AND LAGRANGE MULTIPLIER APPROACHES
S. Vulovic, M. Zivkovic, N. Grujovic, R. Slavkovic (UDC: 531.011:519.673 539.3/.4:519.6)
Abstract
Numerical models based on the penalty and Lagrange multiplier method for contact problems
with friction are compared in this paper. The presented approaches, with use of Coulomb’s
frictional law, elasto-plastic tangential slip decomposition, and consistent linearization, result in
quadratic rates of convergence with the Newton-Raphson iteration. A standard contact search
algorithm independent of the formulation is used for the detection of contact between
previously separate meshes and for the application of displacement constraints where contact
was identified.
The models have been implemented into a version of the computational finite element
program PAK [3]. Numerical examples that illustrate performance of the described procedures
are given.
