By Peter Wriggers, Udo Nackenhorst
This rigorously edited publication bargains a state of the art evaluation on formula, mathematical research and numerical resolution strategies of touch difficulties. The contributions accrued during this quantity summarize the lectures awarded via prime scientists within the region of touch mechanics, through the 4th touch Mechanics overseas 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)
Konyukhov and K. de Abstract. The focus of the contribution is on a detailed discussion of the 2D formulation in contact which can be viewed either as a reduction of the general 3D case to a special cylindrical geometry, or as the contact of 2D bodies bounded by plane curves. In addition, typical frictional characteristics, such as the yield surface and the update of the sliding displacements allow a geometrical interpretation in the chosen coordinate system on the contact surface. 1 Geometry and kinematics of contact In the literature various contact descriptions adapted for an eﬀective ﬁnite element implementation are available, which can be characterized by the following: from 2D to 3D formulations, from non-frictional to frictional contact.
1 m. A continuous cut from the centre of the block to the top edge containing the charge is assumed. The ignition of the explosive charge takes place at the bottom of the cut and spreads toward the top of the cut. Due to the detonation gas pressure, a stress wave is produced in the concrete. It is followed by radial cracks. The wave eventually reaches the free surface and reﬂects from it causing cracks on the boundary. The ﬁnal fracture pattern is a result of inner cracks propagating outwards and outer cracks propagating inwards together with a system of secondary cracks appearing.
The picture in the middle of Figure 1 shows a cut through the distorted domains with the eﬀective von Mises stress. In the right picture the contact stress λh · n is presented. Table 1. Comparison between exact and inexact active set strategy for the example given in Figure 1. level NON 0 1 2 3 312 1623 10062 71082 Kl exact strategy |An k| 3 0 9 6 4 14 26 21 21 3 66 88 85 4 306 347 336 337 Ml inexact strategy |An k| 3 0 4 14 3 66 5 306 9 26 91 341 6 22 21 85 336 336 337 To determine the active set we follow an multilevel approach.
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