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Description
  • Metoda TFETI společně s algoritmy MPRGP a SMALBE byly původně navrženypro řešení statických úloh. Odstranění Dirichletových okrajových podmínek a jejich nahrazení Lagrangeovými multiplikátory je velmi atraktivní pro řešení dynamických úloh. Vyvinuli jsme nelineární algoritmus, který využívá moduly původně vyvinuté pro řešení statických úloh. Ukazujeme, že tato nová varianta FETI je aplikovatelná na řešení úloh s rázy těles, a že dává velmi dobré výsledky, a to dokonce se zapojením dalších geometrických a materiálových nelinearit, přičemž počet iterací je srovnatelný s počtem iterací pro statický případ. (cs)
  • The TFETI method along with MPRGP and SMALBE algorithms were originally proposed for the solution to steady-state problems. However, removing the prescribed Dirichlet boundary conditions and their replacement by the Lagrange multipliers is also attractive for the solution to dynamic problems. We developed nonlinear dynamic algorithm where we made use of the modules originally intended for solution to the static problems. We show that this new variant of FETI is applicable to solution to impact problems, and that it yields very good results, even with additional geometric and material nonlinearities, while the number of iterations is comparable with the number of iterations for static cases. We present results of two sets of numerical experiments. The first one is concerned with the impact of two 3D blocks and the second one with the impact of two cylinders with parallel axes. In the former set of experiments we consider the geometric nonlinearities, and in the latter one both the geometric and materia
  • The TFETI method along with MPRGP and SMALBE algorithms were originally proposed for the solution to steady-state problems. However, removing the prescribed Dirichlet boundary conditions and their replacement by the Lagrange multipliers is also attractive for the solution to dynamic problems. We developed nonlinear dynamic algorithm where we made use of the modules originally intended for solution to the static problems. We show that this new variant of FETI is applicable to solution to impact problems, and that it yields very good results, even with additional geometric and material nonlinearities, while the number of iterations is comparable with the number of iterations for static cases. We present results of two sets of numerical experiments. The first one is concerned with the impact of two 3D blocks and the second one with the impact of two cylinders with parallel axes. In the former set of experiments we consider the geometric nonlinearities, and in the latter one both the geometric and materia (en)
Title
  • Impact Problems by TFETI Based Domain Decomposition Method
  • Impact Problems by TFETI Based Domain Decomposition Method (en)
  • Problematika rázů řešená metodou rozložení oblasti TFETI (cs)
skos:prefLabel
  • Impact Problems by TFETI Based Domain Decomposition Method
  • Impact Problems by TFETI Based Domain Decomposition Method (en)
  • Problematika rázů řešená metodou rozložení oblasti TFETI (cs)
skos:notation
  • RIV/61989100:27240/08:00019181!RIV09-GA0-27240___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA101/08/0574)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 371553
http://linked.open...ai/riv/idVysledku
  • RIV/61989100:27240/08:00019181
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Impact; Domain Decomposition; Finite Element Method; Geometric Nonlinearity; Material Nonlinearity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [DAED064B404E]
http://linked.open...v/mistoKonaniAkce
  • Venice, Italy
http://linked.open...i/riv/mistoVydani
  • Barcelona
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  • 8th World Congress on Computational Mechanics
http://linked.open...in/vavai/riv/obor
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Dobiáš, Jiří
  • Dostál, Zdeněk
  • Vondrák, Vít
  • Pták, S.
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • International Center for numerical methods in Engineering (CIMNE)
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  • 978-84-96736-55-9
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  • 27240
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