Abstract

CALAVALIERI, F. J.  and  CARDONA, A.. An augumented lagrangian method to solve three-dimensional nonlinear contact problems. Lat. Am. appl. res. [online]. 2012, vol.42, n.3, pp. 281-289. ISSN 0327-0793.

A finite element formulation to deal with the friction contact problem between an elastic body and a rigid foundation is presented. An augmented Lagrangian method, which incorporates two Lagrange multipliers and a slack variable in the constraint equation, is developed. In this method, the solution is achieved through a Newton-Raphson monolithic iterative strategy and leads to simple implementation. Examples are provided to demonstrate the accuracy of the proposed algorithm.

Keywords : Contact; Augmented Lagrangian Method; Finite Elements; Friction.