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| Description
| - Článek se zabývá aplikací nové varianty FETI metody rozložení oblasti pro řešení kontaktních úloh. Jak kompatibilita mezi podoblastmi tak i Dirichletovy okrajové podmínky jsou vynuceny Lagrangeovými multiplikátory nebo silami, které působí podél kontaktního rozhraní. Popíšeme teoretický základ Total FETI metody pro řešení variačních nerovnic, které popisují rovnováhu sil soustavy pružných deformovatelnýc těles v kontaktua její implementaci do vnitřní smyčky algoritmu, který řeší materiálové a geometrickénelinearity ve smyčce vnější. Numerické experimenty byly řešeny na konečněprvkovém programu PMD. (cs)
- Contact modelling is still one of the most challenging aspects of nonlinear computational mechanics. We do not in general know either the distributions of the contact tractions throughout the areas currently in contact or shapes and magnitudes of these areas until we have run the problem. Their evaluation has to be part of the solution. The FETI method is based on idea that the compatibility between the sub-domains can be enforced in terms of forces, or the Lagrange multipliers, which we call the dual variables in this context, while the primal variables, or displacements, are eliminated. It is obvious that the concept that every individual sub-domain, into which the body is partitioned, interacts with its neighbours in terms of the forces can naturally be applied to the solution to contact problems. We extend these results to problems with the geometric and material nonlinearities.
- Contact modelling is still one of the most challenging aspects of nonlinear computational mechanics. We do not in general know either the distributions of the contact tractions throughout the areas currently in contact or shapes and magnitudes of these areas until we have run the problem. Their evaluation has to be part of the solution. The FETI method is based on idea that the compatibility between the sub-domains can be enforced in terms of forces, or the Lagrange multipliers, which we call the dual variables in this context, while the primal variables, or displacements, are eliminated. It is obvious that the concept that every individual sub-domain, into which the body is partitioned, interacts with its neighbours in terms of the forces can naturally be applied to the solution to contact problems. We extend these results to problems with the geometric and material nonlinearities. (en)
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| Title
| - Scalable Algorithms for Contact Problems with Additional Nonlinearities
- Škálovatelné algoritmy pro kontaktní úlohy s dalšími nelinearitami (cs)
- Scalable Algorithms for Contact Problems with Additional Nonlinearities (en)
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| skos:prefLabel
| - Scalable Algorithms for Contact Problems with Additional Nonlinearities
- Škálovatelné algoritmy pro kontaktní úlohy s dalšími nelinearitami (cs)
- Scalable Algorithms for Contact Problems with Additional Nonlinearities (en)
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| skos:notation
| - RIV/61989100:27240/06:00013603!RIV07-GA0-27240___
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| http://linked.open.../vavai/riv/strany
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/61989100:27240/06:00013603
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - contact problems; domain decomposition; geometric nonlinearity; material nonlinearity; structural analysis; finite element method (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/mistoVydani
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| http://linked.open...i/riv/nazevZdroje
| - Proceedings of the Fifth International Conference on Engineering Computational Technology
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...vavai/riv/projekt
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| http://linked.open...UplatneniVysledku
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| http://linked.open...iv/tvurceVysledku
| - Dobiáš, Jiří
- Dostál, Zdeněk
- Vondrák, Vít
- Pták, Svatopluk
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| number of pages
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| http://purl.org/ne...btex#hasPublisher
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| https://schema.org/isbn
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| http://localhost/t...ganizacniJednotka
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