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Simulation of crashworthiness problems with improved contact algorithms for implicit time integration

✍ Scribed by L. Noels; L. Stainier; J.-P. Ponthot


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
510 KB
Volume
32
Category
Article
ISSN
0734-743X

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✦ Synopsis


When studying crashworthiness problems, contact simulation can be the source of a number of problems. A first one is the discontinuities in the normal evolution for a boundary discretized by finite elements. Another problem is the treatment of the contact forces that can introduce numerical energy in the system. In this paper, we propose to combine a method of discontinuity smoothing with the energy-momentum consistent scheme that recently appeared in the literature.


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## Abstract Some dynamic contact problems with friction can be formulated as an implicit variational inequality. A time discretization of such an inequality is given here, thus giving rise to a so‐called incremental solution. The convergence of the incremental solution is established, and then the