Uma estratégia adaptativa para problemas de contato em elasticidade

Abstract

ln this work an adaptive remeshing scheme in used to solve contact problems with Coulomb friction. An existing 2D mesh generator based on a frontal technique is used for the construction of the initial mesh of triangular elements. The contact problem is then solved using a sequence of sub-problems P1,P2,P1,P2,... where P1 is the corresponding frictionless problem with given tangential forces along the contact area and P2 is the associated Duvaut-Lions problem of given normal forces and Coulomb-type friction boundary conditions along the contact region. When the convergence is achieved error estimates are computed and new values for the size of elements in the mesh are determined. The process is repeated until a pre-assigned error levei is reached. Numerical examples of the procedure are presented.