A FEM-BEM fast methodology for 3D frictional contact problems

Authors:
L. Rodríguez-Tembleque;R. Abascal
Affiliations:
Escuela Ténica Superior de Ingenieros, Camino de los descubrimientos s/n, 41092 Sevilla, Spain;Escuela Ténica Superior de Ingenieros, Camino de los descubrimientos s/n, 41092 Sevilla, Spain
Venue:
Computers and Structures
Year:
2010

Citing 3
Cited 0

GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems

SIAM Journal on Scientific and Statistical Computing
Newton's method for B-differentiable equations

Mathematics of Operations Research
A mixed formulation for frictional contact problems prone to Newton like solution methods

Computer Methods in Applied Mechanics and Engineering

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents a new and efficient methodology for 3D frictional contact problems based on the Generalized Newton Method with line search (GNMls). The influence coefficients modeling the behavior of solids are approached by means of the Finite Element Method (FEM) and/or the Boundary Element Method (BEM). The contact problem is based on an Augmented Lagrangian formulation and the use of projection functions to establish the contact restrictions. A new and more simplified projection operator is presented, which makes it possible to obtain a quasi-complementarity of the contact variables. As a consequence, the number of contact problem unknowns is reduced. This, together with the use of iterative resolution techniques for computing the Newton line search, results in a fast and reliable algorithm, as shown in the examples solved in this paper.