About: Scalable TFETI based dynamic contact algorithm

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The TFETI based domain decomposition method is adapted in order that it can be implemented into the time stepping Newmark scheme for the solution to dynamic frictionless contact problems accompanied by geometric and material non-linear effects. Our approach stems from application of our own in a sense optimal MPGRP algorithm to solution to strictly convex bound constrained quadratic programming problems with preconditioning by the conjugate projector to the subspace defined by the trace of the rigid body modes on the fictitious interfaces between sub-domains. The time integration requires a special treatment to guarantee stability and removal of undesired non-physical oscillation of solution along the contact interfaces. We applied the contact stabilised Newmark scheme that reduces the solution to a sequence of quadratic programming problems with inequality constraints describing the non-interpenetration condition along the contact interfaces. We also show that our transient algorithm can be applied to solution to problems exhibiting both geometric and material non-linearities. Results of numerical experiments document that the proposed algorithm is robust, highly accurate and exhibit both parallel and numerical scalabilities. The TFETI based domain decomposition method is adapted in order that it can be implemented into the time stepping Newmark scheme for the solution to dynamic frictionless contact problems accompanied by geometric and material non-linear effects. Our approach stems from application of our own in a sense optimal MPGRP algorithm to solution to strictly convex bound constrained quadratic programming problems with preconditioning by the conjugate projector to the subspace defined by the trace of the rigid body modes on the fictitious interfaces between sub-domains. The time integration requires a special treatment to guarantee stability and removal of undesired non-physical oscillation of solution along the contact interfaces. We applied the contact stabilised Newmark scheme that reduces the solution to a sequence of quadratic programming problems with inequality constraints describing the non-interpenetration condition along the contact interfaces. We also show that our transient algorithm can be applied to solution to problems exhibiting both geometric and material non-linearities. Results of numerical experiments document that the proposed algorithm is robust, highly accurate and exhibit both parallel and numerical scalabilities. (en)
Title	Scalable TFETI based dynamic contact algorithm Scalable TFETI based dynamic contact algorithm (en)
skos:prefLabel	Scalable TFETI based dynamic contact algorithm Scalable TFETI based dynamic contact algorithm (en)
skos:notation	RIV/61989100:27740/11:86092851!RIV15-GA0-27740___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA101/08/0574)
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Dostál, Zdeněk Brzobohatý, Tomáš Markopoulos, Alexandros Kozubek, Tomáš
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / IT4Innovations
http://linked.open...dnocenehoVysledku	228193
http://linked.open...ai/riv/idVysledku	RIV/61989100:27740/11:86092851
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Scalability; Newmark method; Material non-linearity; Impact problem; Geometric non-linearity; Dynamics (en)
http://linked.open.../riv/klicoveSlovo	Geometric non-linearity Material non-linearity Dynamics Impact problem Newmark method Scalability
http://linked.open...ontrolniKodProRIV	[EDF8C69D512C]
http://linked.open...v/mistoKonaniAkce	Chania
http://linked.open...i/riv/mistoVydani	Kippen, Stirlingshire
http://linked.open...i/riv/nazevZdroje	Proceedings of the Thirteenth International Conference on Civil, Structural and Environmental Engineering Computing
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	4 (xsd:int)
http://linked.open...cetTvurcuVysledku	6 (xsd:int)
http://linked.open...vavai/riv/projekt	Solution to very complex contact problems with other non-linearities by modern mathematical methods
http://linked.open...UplatneniVysledku	2011
http://linked.open...iv/tvurceVysledku	Brzobohatý, Tomáš Dobiáš, Jiří Dostál, Zdeněk Kozubek, Tomáš Markopoulos, Alexandros Pták, Stanislav
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2011-09-06 (xsd:date)
number of pages	15 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Civil-Comp Press
https://schema.org/isbn	978-1-905088-45-4
http://localhost/t...ganizacniJednotka	27740

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