Get Analysis and Simulation of Contact Problems (Lecture Notes PDF
By Peter Wriggers, Udo Nackenhorst
This rigorously edited e-book bargains a cutting-edge assessment on formula, mathematical research and numerical resolution strategies of touch difficulties. The contributions amassed during this quantity summarize the lectures provided by means of top scientists within the sector of touch mechanics, throughout the 4th touch Mechanics foreign Symposium (CMIS) held in Hannover, Germany, 2005.
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Extra resources for Analysis and Simulation of Contact Problems (Lecture Notes in Applied and Computational Mechanics)
41:410-421, 2002. 7. S. H¨ ueber, A. Matei, and B. Wohlmuth. Eﬀcient algorithms for problems with friction. Technical Report 007, Universit¨ at Stuttgart SFB 404, 2005. 8. S. H¨ ueber and B. Wohlmuth. A primal-dual active set strategy for non-linear multibody contact problems. Comput. Methods Appl. Mech. , 194:31473166, 2005. 9. R. Kornhuber and R. Krause. Adaptive multigrid methods for Signorini’s problem in linear elasticity. Comput. Vis. , 4(1):9-20, 2001. 10. T. Laursen. Computational Contact and Impact Mechanics.
J. Moreau, Numerical aspects of the sweepig process, Comp. Meth. Appl. Mech. , 1999, 177, 329-349. 8. L. Paoli, Time discretization of vibro-impact, Phil. Trans. R. Soc. Lond. , 2001, 359, 2405-2428. 9. Paumier & Y. Renard, Surface perturbation of an elastodynamic contact problem wih friction, European Journal of Applied Mathematics, vol. 14, 2003, 465-483. Mortar methods for contact problems S. I. de Abstract. For the numerical approximation of nonlinear contact problems, mortar methods provide a powerful and eﬃcient tool.
For the iterative scheme the choice τ in 2D is done by of the next sets Aτk+1 and Ik+1 uτ )p (λτ )p + cτ |(λτ )p,s | − gp > 0 , Aτk+1 := p ∈ S : (ˆ τ Ik+1 := p ∈ S : (ˆ uτ )p (λτ )p + cτ |(λτ )p,s | − gp ≤ 0 , cτ > 0. e. the friction bound gp is updated in each step. For details, we refer to . As examples we consider two axisymmetric problems in the 3D case with a linearized St. Venant–Kirchhoﬀ material. Due to the symmetry of the problem setting, we can use cylinder coordinates and end up with a 2D formulation.
Analysis and Simulation of Contact Problems (Lecture Notes in Applied and Computational Mechanics) by Peter Wriggers, Udo Nackenhorst