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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 conscientiously edited publication the reader will receive a cutting-edge evaluate on formula, mathematical research and numerical answer techniques of touch difficulties. The contributions accumulated during this quantity summarize the lectures awarded throughout 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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The applied displacement at point C is given in Fig. 4(b). (a) Plane deformation of a block. Applied displacement loading at top of the block. (b) Hysteresis curve. Observed horizontal displacement at point D vs. applied horizontal displacement at point C. Fig. 4. Drawing of an elastic strip into a channel with sharp corners 30 A. Konyukhov and K. 2 Drawing of an elastic strip into a channel with sharp corners A particular example in which application of the continuous integration is absolutely necessary is a deep drawing of an elastic strip into a channel with sharp corners, see Fig.

Munjiza Fig. 5. Example 1: packing A (left) and packing B (right) a similar way the fact that CPU time is constant regardless of the packing density is demonstrated using “packing B”. e. 1 to 1/40,000. Fig. 6. CPU time as function of number of discrete elements. 5 MR contact detection algorithm The MR contact detection algorithm comprises of three parts: a) Mapping of discrete elements onto cells. b) Sorting of discrete elements according to the cell to which they are mapped. For this operation Quick-Sort is readily available.

44 S. I. Wohlmuth y z x d Fig. 5. Left: problem definition; middle: effective von Mises stress for stressdisplacement formulation for Neo–Hooke material (top) and for linearized St. Venant Kirchhoff material (bottom); right: effective von Mises stress for Q1 formulation. The geometry of our second example is shown in the left picture of Figure 3. On the top of the inner cylinder, we apply Neumann boundary condition. The resulting geometry can be seen in the second picture of Figure 3. 0) and φ = 13.

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