By Peter Wriggers, Udo Nackenhorst
This conscientiously edited booklet bargains a state of the art evaluate on formula, mathematical research and numerical resolution methods of touch difficulties. The contributions accumulated during this quantity summarize the lectures awarded via major scientists within the quarter of touch mechanics, throughout the 4th touch Mechanics foreign Symposium (CMIS) held in Hannover, Germany, 2005.
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Additional resources for Analysis and Simulation of Contact Problems (Lecture Notes in Applied and Computational Mechanics)
Local approaches to crack analysis usually employ a smeared crack approach, with a single crack being replaced by a blunt crack band. Alternatively, the local approaches to crack analysis employ a single crack concept where the zone of strained material near crack tip is replaced by a zone of weakened bonds between the crack walls. Recently a so called combined smeared-local approach has been successfully employed for mode I cracks in rock. It is based on the approximation of stress-strain curves for rock in direct tension.
Khenous, Y. Renard & J. Pommier, Hybrid discretization of the Signorini problem with Coulomb friction. Theoretical aspects and comparison of some numerical solvers, to appear. 3. U. Kim, A boundary thin obstacle problem for a wave equation, Com. part. diﬀ. , 1989, 14 (8&9), 1011-1026. 4. G. Lebeau & M. Schatzman, A wave problem in a half-space with a unilateral constraint at the boundary, J. diﬀ. , 1984, 55, 309-361. 5. A. Laursen & V. Chawla, Design of energy conserving algorithms for frictionless dynamic contact problems, Int.
For details of the algorithm we refer to . To show the performance of the algorithm, we consider a frictionless contact problem for a linearized St. Venant–Kirchhoﬀ material in the 3D case. In the left picture of Figure 1, a cross section of the problem deﬁnition is shown. The lower domain Ωm models a half-bowl which is ﬁxed at the outer boundary as shown in the left picture of Figure 1. Against this bowl, we press Mortar methods for contact problems 41 d h Ωs r ri ra Ωm Fig. 1. Left: problem deﬁnition; middle: cut through the distorted domains with the eﬀective von Mises stress on level 3; right: contact stress λh · n on level 3.
Analysis and Simulation of Contact Problems (Lecture Notes in Applied and Computational Mechanics) by Peter Wriggers, Udo Nackenhorst