By Tod A. Laursen, Jessica D. Sanders (auth.), Dana Mueller-Hoeppe, Stefan Loehnert, Stefanie Reese (eds.)
This Festschrift is devoted to Professor Dr.-Ing. habil. Peter Wriggers at the party of his
60th birthday. It includes contributions from neighbors and collaborators in addition to present and
former PhD scholars from just about all continents. As a truly different crew of individuals, the
authors conceal quite a lot of subject matters from primary examine to business applications:
contact mechanics, finite aspect know-how, micromechanics, multiscale approaches,
particle equipment, isogeometric research, stochastic tools and extra study pursuits. In
summary, the amount offers an outline of the foreign cutting-edge in
computational mechanics, either in academia and industry.
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Example text
Challenges 2, 3, 5 and 7 are addressed in the following sections. Challenges 8–12 are mostly open research topics that call for further theoretical, experimental and computational research. Contact models that successfully describe various contact aspects need to be integrated into holistic top-down and bottom-up approaches. Such approaches attempt to find a unified description of various phenomena across different length scales and thus try to link macroscopic and microscopic model parameters.
Therefore, this method improves the quality of the solution, in terms of enforcement of the impenetrability condition. Correspondingly, the number of iterations to convergence also slightly increases. In the implemented procedures, the computation of Rg according to Eq. (8) is made for each active contact element. However, as soon as Rg for a given contact element is less than the specified threshold, the pressure limit is increased for all active contact elements (LP-IP procedure) or augmentation is performed for all contact elements (LP-AU).
The governing equations are solved simultaneously with the monolithic scheme. A numerical example is considered and discussed to check the performance of the proposed element. Future development may include adding of friction, a non-linear constitutive law for the contact area and considering microscopically rough contacting surfaces. Acknowledgements. Support for this work was partially provided by Italian National Research Grant STPD08JA32 004 and Italian Research Project EX 60%-60A09-8711/09.