On a computational approach to multiple contacts / impacts of elastic bodies

Vala, Jiří, and Rek, Václav. "On a computational approach to multiple contacts / impacts of elastic bodies." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2023. 269-280. <http://eudml.org/doc/299017>.

@inProceedings{Vala2023,
abstract = {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.},
author = {Vala, Jiří, Rek, Václav},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {contact of elastic bodies; finite element method; finite difference method; distributed computing},
location = {Prague},
pages = {269-280},
publisher = {Institute of Mathematics CAS},
title = {On a computational approach to multiple contacts / impacts of elastic bodies},
url = {http://eudml.org/doc/299017},
year = {2023},
}

TY - CLSWK
AU - Vala, Jiří
AU - Rek, Václav
TI - On a computational approach to multiple contacts / impacts of elastic bodies
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2023
CY - Prague
PB - Institute of Mathematics CAS
SP - 269
EP - 280
AB - 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.
KW - contact of elastic bodies; finite element method; finite difference method; distributed computing
UR - http://eudml.org/doc/299017
ER -