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  • The homogenization approach to multiscale modeling of soft biological tissues is presented. The homogenized model describes the relationship between the macroscopic hereditary creep behavior and the microflow in a fluid-saturated dual-porous medium at the microscopic level. The micromodel is based on Biot’s system for quasistatic deformation processes, modified for the updated Lagrangian formulation to account for coupling the fluid diffusion through a porous solid undergoing large deformation. Its microstructure is constituted by fluid-filled inclusions embedded in the porous matrix. The tangential stiffness coefficients and the retardation stress for the macromodel are derived for a time-stepping algorithm. Numerical examples are discussed, showing the strong potential of the model for simulations of deformation-driven physiological processes at the microscopic scale.
  • The homogenization approach to multiscale modeling of soft biological tissues is presented. The homogenized model describes the relationship between the macroscopic hereditary creep behavior and the microflow in a fluid-saturated dual-porous medium at the microscopic level. The micromodel is based on Biot’s system for quasistatic deformation processes, modified for the updated Lagrangian formulation to account for coupling the fluid diffusion through a porous solid undergoing large deformation. Its microstructure is constituted by fluid-filled inclusions embedded in the porous matrix. The tangential stiffness coefficients and the retardation stress for the macromodel are derived for a time-stepping algorithm. Numerical examples are discussed, showing the strong potential of the model for simulations of deformation-driven physiological processes at the microscopic scale. (en)
  • Článek se zabývá homogenizačním přístupem k multiskalovému modelování měkkých biologických tkání. Homogenizovaný model popisuje relace mezi makroskopickým creepem s vyhasínající pamětí a difúzi tekutiny na úrovni mikrostruktury (mikrotokem). Mikromodel je založen na bázi Biotova modelu pro kvazistatickou deformaci porézního materiálu a velké deformace linearizované pomocí aktualizované Lagrangeovy formulace. Mirkostruktura je tvořena porézní matrici obsahující tekutinou naplněné inkluze. Jsou odvozeny homogenizované koeficienty přírůstkové formy tangeciální tuhosti a tzv. retardačního napětí. Na numerických příkladech je ukázána aplikace daného přístupu pro studium deformačně závislých (cs)
Title
  • Modeling Large-deformation-induced Microflow in Soft Biological Tissues
  • Modelovani měkkých biologických tkání s deformačně indukovaným mikrotokem (cs)
  • Modeling Large-deformation-induced Microflow in Soft Biological Tissues (en)
skos:prefLabel
  • Modeling Large-deformation-induced Microflow in Soft Biological Tissues
  • Modelovani měkkých biologických tkání s deformačně indukovaným mikrotokem (cs)
  • Modeling Large-deformation-induced Microflow in Soft Biological Tissues (en)
skos:notation
  • RIV/49777513:23520/06:00000156!RIV07-MSM-23520___
http://linked.open.../vavai/riv/strany
  • 251
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  • Z(MSM4977751303)
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  • 486154
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  • RIV/49777513:23520/06:00000156
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  • Porous media; Homogenization; Large deformation; Biological soft tissue; Microflow; Viscoelasticity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [2F12452CE541]
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  • Theoretical and Computational Fluid Dynamics
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http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
http://linked.open...n/vavai/riv/zamer
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  • 0935-4964
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http://localhost/t...ganizacniJednotka
  • 23520
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