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  • The purpose of the present work is to give a brief description of the finite elasticity and of its approximation via finite element method. We formulate the problem for the case of compressible elasticity. Weak formulation allows to use any isotropic hyperelastic material model that satisfies polyconvexity assumptions. Discretization using FEM leads to systems of non-linear equations. Finally we also show the strategy of solving such systems of equations by modification of Newton's method that can be used under some restrictions.
  • The purpose of the present work is to give a brief description of the finite elasticity and of its approximation via finite element method. We formulate the problem for the case of compressible elasticity. Weak formulation allows to use any isotropic hyperelastic material model that satisfies polyconvexity assumptions. Discretization using FEM leads to systems of non-linear equations. Finally we also show the strategy of solving such systems of equations by modification of Newton's method that can be used under some restrictions. (en)
  • Práce prezentuje krátký úvod do konečné pružnosti a metod řešení jejích úloh metodou konečných prvků. Je odvozena slabá formulace pro případ stlačitelných těles, která umožňuje použití jakéhokoliv materiálového modelu splňujícího předpoklad polykonvexity. Diskretizace metodou konečných prvků vede na řešení soustav nelineárních rovnic. Uvedena je strategie jejich řešení modifikovanou Newtonovou metodou. (cs)
Title
  • Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem
  • Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem (en)
  • Konečně-prvková formulace třídimenzionálního problému nelineární pružnosti (cs)
skos:prefLabel
  • Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem
  • Finite Element Formulation of Three-Dimensional Nonlinear Elasticity Problem (en)
  • Konečně-prvková formulace třídimenzionálního problému nelineární pružnosti (cs)
skos:notation
  • RIV/68407700:21220/05:02114975!RIV06-GA0-21220___
http://linked.open.../vavai/riv/strany
  • 182 ; 191
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA106/05/2731), Z(AV0Z20760514)
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
  • 521691
http://linked.open...ai/riv/idVysledku
  • RIV/68407700:21220/05:02114975
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Newton's method; finite elasticity; finite element method; hyperelasticity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [D25121579851]
http://linked.open...v/mistoKonaniAkce
  • Praha
http://linked.open...i/riv/mistoVydani
  • Praha
http://linked.open...i/riv/nazevZdroje
  • Seminář aplikované matematiky
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...iv/tvurceVysledku
  • Sousedík, Bedřich
  • Burda, Pavel
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://purl.org/ne...btex#hasPublisher
  • České vysoké učení technické v Praze. Fakulta stavební. Katedra matematiky
https://schema.org/isbn
  • 80-7015-001-7
http://localhost/t...ganizacniJednotka
  • 21220
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