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  • We developed a two-scale approach for modeling large-deforming perfused media with the 3-compartment microstructure. An incremental formulation based on the updated Lagrangian configuration and the Biot-type continuum model is introduced. Equations of the model express mechanical equilibrium and the volume fluid redistribution (the Darcy law), assuming both the fluid and solid phases are incompressible. This linearized system was treated by the homogenization method assuming locally periodic structures. The local reference cell involving geometrical representations of the blood vessels evolves in time due to large deformation. The homogenized model is implemented using a finite element code and a numerical example is presented.
  • We developed a two-scale approach for modeling large-deforming perfused media with the 3-compartment microstructure. An incremental formulation based on the updated Lagrangian configuration and the Biot-type continuum model is introduced. Equations of the model express mechanical equilibrium and the volume fluid redistribution (the Darcy law), assuming both the fluid and solid phases are incompressible. This linearized system was treated by the homogenization method assuming locally periodic structures. The local reference cell involving geometrical representations of the blood vessels evolves in time due to large deformation. The homogenized model is implemented using a finite element code and a numerical example is presented. (en)
Title
  • Computational homogenization for two-scale modeling of perfused tissues
  • Computational homogenization for two-scale modeling of perfused tissues (en)
skos:prefLabel
  • Computational homogenization for two-scale modeling of perfused tissues
  • Computational homogenization for two-scale modeling of perfused tissues (en)
skos:notation
  • RIV/49777513:23520/11:43915686!RIV13-GA0-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA106/09/0740), Z(MSM4977751303)
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
  • 191504
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/11:43915686
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Perfusion, Homogenization, Porous Media, Large Deformation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [F85CC3BF9C32]
http://linked.open...v/mistoKonaniAkce
  • Barcelona
http://linked.open...i/riv/mistoVydani
  • Barcelona
http://linked.open...i/riv/nazevZdroje
  • Computational Plasticity XI Fundamentals and Applications
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
  • Lukeš, Vladimír
  • Rohan, Eduard
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
  • CIMNE
https://schema.org/isbn
  • 978-84-89925-23-6
http://localhost/t...ganizacniJednotka
  • 23520
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