2D or 3D frictional contact algorithms and applications in a large deformation context
Résumé
The paper is devoted to the analysis of two‐ or three‐dimensional contact problems with Coulomb friction and large deformation. The classical approach is based on two minimum principles or two variational inequalities: the first for unilateral contact and the second for friction. A coupled approach using only one principle or one inequality is presented. This new approach allows us to extend the notion of normality law to dissipative behaviours with a non‐associated flow rule, such as surface friction. Non‐differentiable contact potentials are regularized by means of the augmented Lagrangian method. Using the C++ language, an object‐oriented finite element database is created, which allows us to implement the contact and friction in an existing code in a very simple and neat way. Numerical examples are carried out in many difficult cases such as shock absorber and three‐dimensional contact. The numerical results prove that this approach is robust and efficient concerning numerical stability.