Covariant description for frictional contact problems

Covariant description for frictional contact problems

Fea of Frictional Contact Problems Using Nagata Patches for Surfaces Description

The numerical simulation of problems involving contact with friction between deformable and rigid bodies is highly dependent of the predicted contact conditions, which are continuously changing during the process. In the case of sheet metal forming processes, the forming tools are assumed to behave rigidly, and thus only the definition of the outer surfaces is required for the simulation. This ...

Solving Frictional Contact Problems with Multigrid Efficiency

The construction of fast and reliable solvers for contact problems with friction is even nowadays a challenging task. It is well known that contact problems with Coulomb friction have the weak form of a quasi-variational inequality [KO88, HHNL88, NJH80]. For small coefficients of friction, a solution can be obtained by means of a fixed point iteration in the boundary stresses [NJH80]. This fixe...

On Solving Frictional Contact Problems Part Iii: Unilateral Contact

In this paper, we study mixed variational nite element methods for the unilateral problems arising in contact mechanics.The presented discrete spaces can handle the case of non matching meshes in the contact area. We rst state the static problem and then extend it to the frictional contact case, and end with the dynamic frictional problem.

Dual Weighted Residual Error Control for Frictional Contact Problems

In this paper goal-oriented error control based on dual weighted residual error estimations (DWR) is applied to frictional contact problems. A mixed formulation of the contact problem is used to derive a discretization. It relies on the introduction of Lagrange multipliers to capture the frictional contact conditions. The discretization error is estimated in terms of functionals (the quantities...