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 large box of theoretical, numerical and experimental investigations. during this conscientiously edited e-book the reader will receive a cutting-edge evaluation on formula, mathematical research and numerical answer tactics of touch difficulties. The contributions accrued during this quantity summarize the lectures awarded through the 4th touch Mechanics foreign Symposium (CMIS) held in Hannover, Germany, 2005, by way of major scientists within the sector of touch mechanics.
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Extra info for Analysis and Simulation of Contact Problems
1, leads to the deﬁnition of a 2D contact. In this case a generatrix GH of the ﬁrst cylindrical body is a contact line and corresponds to a contact line G’H’ which is also a generatrix but of the second cylindrical body. Thus, 3D contact which can be seen as an interaction between two surfaces is reduced to an interaction between two 24 A. Konyukhov and K. Schweizerhof Fig. 1. Two dimensional contact as a special case of three dimensional contact boundary curves in the 2D case. One of both boundary curves resp.
Of course, in the enrergy analysis of any time integration scheme for contact problems, we remark that a sort of contact condition in terms of velocity appears. The stake is how to deﬁne this contact condition which can replace the classical one. Then, many authors try to give a new formulation for the contact condition: Laursen-Love , Moreau  and obtain an interesting results. In this section, we deal with such condition. We assume a vanishing initial gap between the structure and the rigid foundation and we denote u0 , u1 and T the given initial displacement, initial velocity and time simulation respectively.
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. Munjiza Engineering Department, Queen Mary University of London, Mile End Road, E1 4NS, London, United Kingdom Abstract.
Analysis and Simulation of Contact Problems by T.A. Laursen (auth.), Peter Wriggers Professor Dr., Udo Nackenhorst Professor Dr. (eds.)