About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Vala, Jiří ; Rek, Václav
On a computational approach to multiple contacts / impacts of elastic bodies. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 269-280
MSC: 68Q85, 74M15, 74S05, 74S20 | DOI: 10.21136/panm.2022.25
Keywords:
contact of elastic bodies; finite element method; finite difference method; distributed computing
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.
Partner of
EuDML logo