About: Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media     Goto   Sponge   NotDistinct   Permalink

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  • The paper deals with a model of the homogenized fluid saturated porous material which recently was proposed by the authors. The model was obtained using the asymptotic analysis of the Biot type medium with the dual porosity. The homogenized macroscopic model is featured by the fading memory effects arising from the microflow in the dual porosity. We derive the steady state formulations and discuss several topics related to the numerical implementation of the model, namely the solution procedure of the discretized microscopic problems, evaluation of the homogenized coefficients and an approximation of the convolution integrals of the macroscopic model, so that the fading memory effects are computationally tractable. Numerical examples are presented to illustrate the approximation schemes discussed in the paper. All computations were performed using the in-house developed finite element code SfePy allowing the multiscale simulations. Besides various potential engineering applications, the present model is intended for simulations of compact bone poroelasticity.
  • The paper deals with a model of the homogenized fluid saturated porous material which recently was proposed by the authors. The model was obtained using the asymptotic analysis of the Biot type medium with the dual porosity. The homogenized macroscopic model is featured by the fading memory effects arising from the microflow in the dual porosity. We derive the steady state formulations and discuss several topics related to the numerical implementation of the model, namely the solution procedure of the discretized microscopic problems, evaluation of the homogenized coefficients and an approximation of the convolution integrals of the macroscopic model, so that the fading memory effects are computationally tractable. Numerical examples are presented to illustrate the approximation schemes discussed in the paper. All computations were performed using the in-house developed finite element code SfePy allowing the multiscale simulations. Besides various potential engineering applications, the present model is intended for simulations of compact bone poroelasticity. (en)
Title
  • Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media
  • Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media (en)
skos:prefLabel
  • Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media
  • Multiscale FE simulation of diffusion-deformation processes in homogenized dual-porous media (en)
skos:notation
  • RIV/49777513:23520/12:43896597!RIV13-GA0-23520___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA106/09/0740)
http://linked.open...iv/cisloPeriodika
  • 10
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
  • 152465
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/12:43896597
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Multiscale simulation; Double porosity; Fluid-saturated porous medium; Fading memory; Homogenization (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [6BAD52EA613B]
http://linked.open...i/riv/nazevZdroje
  • Mathematics and Computers in Simulation
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 82
http://linked.open...iv/tvurceVysledku
  • Rohan, Eduard
  • Cimrman, Robert
issn
  • 0378-4754
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.matcom.2011.02.011
http://localhost/t...ganizacniJednotka
  • 23520
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