About: Domain Decomposition for Generalized Unilateral Semi-Coercive Contact Problem with Given Friction in Elasticity     Goto   Sponge   NotDistinct   Permalink

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Description
  • A non-overlapping domain decomposition is applied to a multibody unilateral contact problem with given friction (Trescas model). Approximations are proposed on the basis of the primary variational formulation (in terms of displacements) and linear finite elements. For the discretized problem we employ the concept of local Schur complements, grouping every two subdomains which share a contact area. The proposed algorithm of successive approximations can be recommended for short contacts only, since the contact areas are not divided by interfaces. The numerical examples show the practical efficiency of the algorithm.
  • A non-overlapping domain decomposition is applied to a multibody unilateral contact problem with given friction (Trescas model). Approximations are proposed on the basis of the primary variational formulation (in terms of displacements) and linear finite elements. For the discretized problem we employ the concept of local Schur complements, grouping every two subdomains which share a contact area. The proposed algorithm of successive approximations can be recommended for short contacts only, since the contact areas are not divided by interfaces. The numerical examples show the practical efficiency of the algorithm. (en)
  • V článku je odvozena metoda rozkladu oblasti bez překrývání pro úlohu jednostranného kontaktu více těles se zadaným třením (Trescův model). Aproximace vychází z primární variační formulace (pro posunutí) a použití metody konečných prvků. Pro diskretizovaný problém je použita metoda Schurových doplňků s tím, že dvojice podoblastí v kontaktu jsou uvažovány dohromady. Odvozený algoritmus metody postupných aproximací je doporučen pro úlohy s krátkým kontaktem, protože dekompozici neprovádíme přes kontaktní hranici. Praktické chování algoritmu je ukázáno v příkladech. (cs)
Title
  • Domain Decomposition for Generalized Unilateral Semi-Coercive Contact Problem with Given Friction in Elasticity
  • Metoda rozkladu oblasti pro semi-koercivní problémy jednostranného kontaktu pružných těles se zadaným třením (cs)
  • Domain Decomposition for Generalized Unilateral Semi-Coercive Contact Problem with Given Friction in Elasticity (en)
skos:prefLabel
  • Domain Decomposition for Generalized Unilateral Semi-Coercive Contact Problem with Given Friction in Elasticity
  • Metoda rozkladu oblasti pro semi-koercivní problémy jednostranného kontaktu pružných těles se zadaným třením (cs)
  • Domain Decomposition for Generalized Unilateral Semi-Coercive Contact Problem with Given Friction in Elasticity (en)
skos:notation
  • RIV/67985807:_____/05:00405461!RIV06-MPO-67985807
http://linked.open.../vavai/riv/strany
  • 271;300
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(FT-TA/087), Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 518590
http://linked.open...ai/riv/idVysledku
  • RIV/67985807:_____/05:00405461
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • domain decomposition; unilateral contact; Tresca's friction model; formulation in isplacements; linear finite elements (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [0B900C58E472]
http://linked.open...i/riv/nazevZdroje
  • Mathematics and Computers in Simulation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 68
http://linked.open...iv/tvurceVysledku
  • Nedoma, Jiří
  • Hlaváček, Ivan
  • Daněk, Josef
http://linked.open...n/vavai/riv/zamer
issn
  • 0378-4754
number of pages
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