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  • Článek shrnuje poslední výsledky v modelování porézních materiálů nasycených tekutinou s aplikacemi v biomechanice. Metodologie je založena na homogenizaci lokálně periodických materiálů s duální strukturou pórů. Mikrostruktura může obsahovat několik vzájemně disjunktních systémů kanálů, z nichž tekutina penetruje do matrice, která tyto kanaály odděluje. Model byl nedávno počítačově implementován ve vlastními silami vyvíjeném software. Homogenizované materiálové parametry odpovídají komkrétní mikrostruktuře. Mikroproudění v duální porozitě vyvolává viskoelatické vlastnosti. V článku jsou diskutovány dvě aplikace na modelování prokrvení tkáně, modelování poroelastických vlastností kostí a rozšíření pro úlohy s nelineárními deformacemi. Jsou ukázány diskretizované verze modelů používané pro numerický výpočet. (cs)
  • This paper summarizes the computational multiscale modeling of fluid saturated porous media with potential applications in tissue biomechanics. The methodology is based upon the homogenization of locally periodic double porous materials. Recently the homogenized model of these heterogeneous materials have been developed and implemented in our in-house made software. Applications are in modeling blood perfused tissues, a similar model is relevant also to simulate poroelastic properties of bones, or extended for large deformation, to mimic behaviour of deforming soft tissues. In the paper we pursue two cases of geometric microstructural arrangements leading to completely different upscaled models of double porous media. The discretized versions of the microscopic and macroscopic problems are presented, including evaluation of the homogenized parameters. Numerical examples are given.
  • This paper summarizes the computational multiscale modeling of fluid saturated porous media with potential applications in tissue biomechanics. The methodology is based upon the homogenization of locally periodic double porous materials. Recently the homogenized model of these heterogeneous materials have been developed and implemented in our in-house made software. Applications are in modeling blood perfused tissues, a similar model is relevant also to simulate poroelastic properties of bones, or extended for large deformation, to mimic behaviour of deforming soft tissues. In the paper we pursue two cases of geometric microstructural arrangements leading to completely different upscaled models of double porous media. The discretized versions of the microscopic and macroscopic problems are presented, including evaluation of the homogenized parameters. Numerical examples are given. (en)
Title
  • Computational homogenization of perfused deforming tissues
  • Počítačová homogenizace porézních materiálů s perfuzí (cs)
  • Computational homogenization of perfused deforming tissues (en)
skos:prefLabel
  • Computational homogenization of perfused deforming tissues
  • Počítačová homogenizace porézních materiálů s perfuzí (cs)
  • Computational homogenization of perfused deforming tissues (en)
skos:notation
  • RIV/49777513:23640/08:00500634!RIV09-MSM-23640___
http://linked.open...avai/riv/aktivita
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  • Z(MSM4977751303)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 360869
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23640/08:00500634
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  • fluid saturated porous materials; multiscale modeling; homogenization; tissue perfusion; fading memory; finite element method (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [A1601CC99D90]
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  • Atény
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  • Stirlingshire
http://linked.open...i/riv/nazevZdroje
  • Proceedings of the Sixth International Conference on Engineering Computational Technology
http://linked.open...in/vavai/riv/obor
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http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
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  • Lukeš, Vladimír
  • Rohan, Eduard
  • Cimrman, Robert
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
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  • Civil-Comp Press
https://schema.org/isbn
  • 978-1-905088-26-3
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  • 23640
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