@inproceedings{dc758f860c2242178bc2f84c43e357dc,
title = "Contact dynamics with Lagrange multipliers",
abstract = "The efficient modeling of dynamical contact problems with friction is still a callenge in non-linear implicit structural analysis. We employ a mixed formulation in space with the displacement as primal variable and the contact stress as dual variable. For the discretization of the latter we use a discrete Lagrange multiplier space with biorthogonal basis functions. For the treatment of the nonlinear frictional contact conditions semi-smooth Newton methods are applied. To avoid oscillations in the Lagrange multiplier during the solution of dynamical contact problems with mass, we locally under-integrate the mass matrix. We also show the applicability of the mixed formulation to a velocity driven rigid-plastic problem.",
keywords = "Coulomb friction, Energy conservating time integration, Non-oscillating Lagrange multiplier, Semi-smooth Newton methods",
author = "Stephan Brun{\ss}en and Stefan H{\"u}eber and Barbara Wohlmuth",
year = "2007",
doi = "10.1007/978-1-4020-6405-0_2",
language = "English",
isbn = "9781402064043",
series = "Solid Mechanics and its Applications",
publisher = "Springer Verlag",
pages = "17--32",
booktitle = "IUTAM Symposium on Computational Methods in Contact Mechanics - Proceedings of the IUTAM Symposium",
note = "IUTAM Symposium on Computational Methods in Contact Mechanics ; Conference date: 05-11-2006 Through 08-11-2006",
}