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 was once and is a vital department in mechanics which covers a extensive box of theoretical, numerical and experimental investigations. during this rigorously edited e-book the reader will receive a state of the art evaluation on formula, mathematical research and numerical resolution approaches of touch difficulties. The contributions accrued during this quantity summarize the lectures awarded through the 4th touch Mechanics overseas Symposium (CMIS) held in Hannover, Germany, 2005, by way of major scientists within the sector of touch mechanics.

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Computational Mechanics, 33, pp. 165–173, 2004. 5. , Schweizerhof K. Covariant description for frictional contact problems. Computational mechanics, 35, 3, pp. 190–213, 2005. 6. Harnau M, Konyukhov A, Schweizerhof K. Algorithmic aspects in large deformation contact analysis using “Solid-Shell” elements. Computers and Structures, 83, 1804–1823, 2005. 7. , Schweizerhof K. A special focus on 2D formulations for contact problems using a covariant description. submitted to International Journal for Numerical Methods in Engineering.

An example of a binary tree is given in Fig. 3. e: t ∝ ln (N ) (5) However, Eq. (5) is valid only when the tree is balanced - a nearly balanced tree is easily built using a balanced tree storage and retrieval algorithm [9]. As the CPU time for building a balanced tree is proportional to N lnN , the total contact detection CPU time is proportional to N lnN where N is the total number of discrete elements. For moderate size systems this can be fine. However, with very large systems CPU constraints can become very important.

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. Tony F. Chan and Jinchao Xu and Ludmil Zikatanov, An Agglomeration Multigrid Method for Unstructured Grids, Contemp. , 218:67-81, 1998 12. R. H. Krause, Monotone Multigrid Methods for Signorini’s Problem with Friction,Freie Universit¨ at Berlin, 2001 13.

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