Analysis and Simulation of Contact Problems by T.A. Laursen (auth.), Peter Wriggers Professor Dr., Udo

By T.A. Laursen (auth.), Peter Wriggers Professor Dr., Udo Nackenhorst Professor Dr. (eds.)

Contact mechanics used to be and is a vital department in mechanics which covers a extensive box of theoretical, numerical and experimental investigations. during this conscientiously edited publication the reader will receive a cutting-edge evaluation on formula, mathematical research and numerical resolution strategies of touch difficulties. The contributions gathered during this quantity summarize the lectures provided throughout the 4th touch Mechanics overseas Symposium (CMIS) held in Hannover, Germany, 2005, by way of top scientists within the region of touch mechanics.

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42:65-76, 1983 8. S. H¨ ueber and M. Mair and B. Wohlmuth, A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems , Appl. Num. , 54:555-576, 2005 9. Ana H. Iontcheva and Panayot S. Vassilevsky, Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini’s problem, Num. Lin. Alg. , 11:189-204, 2004 10. R. Kornhuber and R. H. Krause, Adaptive multigrid methods for Signorini’s problem in linear elasticity, CVS, 4:9-20, 2001, Springer 11.

M. Puso and T. Laursen. A mortar segment-to-segment contact method for large deformation solid mechanics. Comput. Methods Appl. Mech. , 193(68):601-629, 2004. 12. G. Stadler. Semismooth Newton and augmented Lagrangian methods for a simplified friction problem. SIAM J. , 15(1):39-62, 2004. 13. K. Willner. Kontinuums- und Kontaktmechanik. Springer, 2003. 14. P. Wriggers. Computational Contact Mechanics. J. Wiley and Sons Ltd, 2002. Contact mechanics for analysis of fracturing and fragmenting solids in the combined finite-discrete element method A.

The second approach is very simple to implement and gives a good approximation of normal stress. For both approaches, adding a Coulomb friction condition is not a difficulty from the stability view point. However, this condition could be badly approximated for the first approach because it depends on the normal stress. References 1. B. Khenous, PhD thesis, INSA of Toulouse, in preparation. 2. B. Khenous, Y. Renard & J. Pommier, Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers, to appear.

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