An open question : How to solve efficiently 3D frictional contact problem ?

Vincent Acary (1) , Maurice Brémond (2)

1 BIPOP - Modelling, Simulation, Control and Optimization of Non-Smooth Dynamical Systems
2 SED [Grenoble] - Service Expérimentation et Développement

In this talk, we want to discuss possible numerical solution procedures for the following discrete frictional contact problem. We will recall a result for the problem in (1) which ensures that a solution exists [3]. In this framework, we will list several algorithms that have been previously developed for solving the SOCCP (1) mainly based variational inequality and nonsmooth equations reformulations. On one hand, we will show that algorithms based on Newton methods for nonsmooth equations solve quickly the problem when they succeed, but suffer from robustness issues mainly if the matrix H has not full rank. On the other hand, the iterative methods dedicated to solving variational inequalities are quite robust but with an extremely slow rate of convergence. To sum up, as far as we know there is no option that combines time efficiency and robustness. To try to answer to this question, we develop an open collection of discrete frictional contact problems called FCLIB http://fclib.gforge.inria.fr in order to offer a large library of problems to compare algorithms on a fair basis. In this work, this collection is solved with the software Siconos and its component Siconos/Numerics http://siconos.gforge.inria.fr .

Domaines: Mécanique [physics]

Vincent Acary, Maurice Brémond. An open question : How to solve efficiently 3D frictional contact problem ?. Computational Contact Mechanics: Advances and Frontiers in Modeling Contact (14w5147), Feb 2014, Banff, Canada. , 2014. ⟨hal-01062771⟩