Contact Modeling for Solids and Particles by Alexander Popp & Peter Wriggers

Author:Alexander Popp & Peter Wriggers
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

The same example in a three-dimensional setting is provided in Fig. 5 employing an -discretization. Here, the slave body is compressed onto the master body (5 loading steps) and subsequently it is rotated through (10 loading steps) and dragged along the diagonal of the master surface (30 loading steps). During the twist and drag stages, the slave surface traverses multiple element boundaries. Again, both the master and slave surfaces are -continuous. In all applications of the KTS algorithm, the active-set search is embedded within the Newton-Raphson iterations for the nonlinear system. The load steps are chosen such that convergence is achieved in at most 10 Newton-Raphson iterations. Within this setup and at the given resolution, one cannot achieve convergence with /- or -discretizations.

While the straightforward application of the KTS algorithm delivers qualitatively satisfactory results, quantitative investigations are necessary to establish the quality with which the contact constraints are satisfied, for more details see Temizer et al. (2011) and de Lorenzis et al. (2011).

Fig. 5Three-dimensional contact of two deformable bodies based on an -discretization

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