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Title: On a computational approach to multiple contacts / impacts of elastic bodies (English)
Author: Vala, Jiří
Author: Rek, Václav
Language: English
Journal: Programs and Algorithms of Numerical Mathematics
Volume: Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022
Issue: 2022
Year:
Pages: 269-280
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Category: math
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Summary: The analysis of dynamic contacts/impacts of several deformable bodies belongs to both theoretically and computationally complicated problems, because of the presence of unpleasant nonlinearities and of the need of effective contact detection. This paper sketches how such difficulties can be overcome, at least for a model problem with several elastic bodies, using i) the explicit time-discretization scheme and ii) the finite element technique adopted to contact evaluations together with iii) the distributed computing platform. These considerations are supported by the references to useful generalizations, motivated by significant engineering applications. Illustrative examples demonstrate this approach on structures assembled from a finite number of shells. (English)
Keyword: contact of elastic bodies
Keyword: finite element method
Keyword: finite difference method
Keyword: distributed computing
MSC: 68Q85
MSC: 74M15
MSC: 74S05
MSC: 74S20
DOI: 10.21136/panm.2022.25
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Date available: 2023-04-13T06:30:10Z
Last updated: 2023-06-05
Stable URL: http://hdl.handle.net/10338.dmlcz/703207
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