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Statements

Subject Item
n2:RIV%2F61989100%3A27240%2F06%3A00013638%21RIV07-GA0-27240___
rdf:type
n14:Vysledek skos:Concept
dcterms:description
Contact modelling is still a challenging problem of non-linear computational mechanics. If the FETI method is applied to the contact problems, the same methodology can be used to prescribe conditions of non-penetration between bodies. We shall obtain a new minimization problem with additional nonnegativity constraints which replace more complex general non-penetration conditions. In this paper we are concerned with application of one of a new variant of the FETI domain decomposition method, called TFETI (Total FETI) method, to the solution of contact problems. Both compatibility between adjacent subdomains and Dirichlet boundary conditions are enforced by Lagrange multipliers acting along the boundary or mutual interfaces. We describe theoretical foundation of the TFETI algorithm and its implementation into the inner loop of the code which treats the material and geometrical effects in the outer loop. Kontaktní modelování je stále velmi náročný problém nelineární výpočetní matematiky. V článku se budeme zabývat aplikací zcela nové varianty FETI metody rozložení oblasti nazývané TFETI (Total FETI) metoda pro řešení kontaktních úloh. Kompatibilita mezi podoblastmi stejně jako Dirichletovy okrajové podmínky se zajišťují prostřednictvím Lagrangeových multiplikátorů předepisovaných podél vzájemných rozhraní a hranic. Popíšeme teoretický základ této metody a její implementaci do vnitřní smyčky algoritmu, který řeší materiálové a geometrické nelinearity prostřednictvím vnějsí smyčky. Pro řešení kontaktních úloh pomocí FETI a TFETI metod používáme %22Modified Proportioning with Reduced Gradient Projection%22 (MPRGP) algoritmy. Contact modelling is still a challenging problem of non-linear computational mechanics. If the FETI method is applied to the contact problems, the same methodology can be used to prescribe conditions of non-penetration between bodies. We shall obtain a new minimization problem with additional nonnegativity constraints which replace more complex general non-penetration conditions. In this paper we are concerned with application of one of a new variant of the FETI domain decomposition method, called TFETI (Total FETI) method, to the solution of contact problems. Both compatibility between adjacent subdomains and Dirichlet boundary conditions are enforced by Lagrange multipliers acting along the boundary or mutual interfaces. We describe theoretical foundation of the TFETI algorithm and its implementation into the inner loop of the code which treats the material and geometrical effects in the outer loop.
dcterms:title
Scalable algorithms for contact problems with geometrical and material nonlinearities Scalable algorithms for contact problems with geometrical and material nonlinearities Škálovatelné algoritmy pro kontaktní úlohy s geometrickými a materiálovými nelinearitami
skos:prefLabel
Scalable algorithms for contact problems with geometrical and material nonlinearities Scalable algorithms for contact problems with geometrical and material nonlinearities Škálovatelné algoritmy pro kontaktní úlohy s geometrickými a materiálovými nelinearitami
skos:notation
RIV/61989100:27240/06:00013638!RIV07-GA0-27240___
n3:aktivita
n18:P
n3:aktivity
P(GA101/05/0423)
n3:dodaniDat
n5:2007
n3:domaciTvurceVysledku
n11:9411577 n11:5021391
n3:druhVysledku
n15:M
n3:duvernostUdaju
n13:S
n3:entitaPredkladatele
n9:predkladatel
n3:idSjednocenehoVysledku
498472
n3:idVysledku
RIV/61989100:27240/06:00013638
n3:jazykVysledku
n19:eng
n3:klicovaSlova
contact problem; domain decomposition; numerical scalability; geometric nonlinearity; material nonlinearity; finite element method
n3:klicoveSlovo
n12:domain%20decomposition n12:numerical%20scalability n12:contact%20problem n12:geometric%20nonlinearity n12:finite%20element%20method n12:material%20nonlinearity
n3:kontrolniKodProRIV
[6A828EFB0B3A]
n3:mistoKonaniAkce
Brunel University, West London, UK
n3:obor
n10:JR
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
4
n3:pocetUcastnikuAkce
300
n3:pocetZahranicnichUcastnikuAkce
280
n3:projekt
n17:GA101%2F05%2F0423
n3:rokUplatneniVysledku
n5:2006
n3:statKonaniAkce
n16:GB
n3:tvurceVysledku
Pták, Svatopluk Dobiáš, Jiří Dostál, Zdeněk Vondrák, Vít
n3:typAkce
n8:WRD
n3:ukonceniAkce
2006-06-16+02:00
n3:zahajeniAkce
2006-06-12+02:00
n6:organizacniJednotka
27240