[en] This paper investigates the complex time-dependent behavior of cortex tissue, under adiabatic condition, using a two-phase flow poroelastic model. Motivated by experiments and Biot's consolidation theory, we tackle time-dependent uniaxial loading, confined and unconfined, with various geometries and loading rates from 1 micrometer/sec to 100 micrometer/sec. The cortex tissue is modeled as the porous solid saturated by two immiscible fluids, with dynamic viscosities separated by four orders, resulting in two different characteristic times. These are respectively associated to interstitial fluid and glial cells. The partial differential equations system is discretised in space by the finite element method and in time by Euler-implicit scheme. The solution is computed using a monolithic scheme within the open-source computational framework FEniCS. The parameters calibration is based on Sobol sensitivity analysis, which divides them into two groups: the tissue specific group, whose parameters represent general properties, and sample specific group, whose parameters have greater variations. Our results show that the experimental curves can be reproduced without the need to resort to viscous solid effects, by adding an additional fluid phase. Through this process, we aim to present multiphase poromechanics as a promising way to a unified brain tissue modeling framework in a variety of settings.
Disciplines :
Science des matériaux & ingénierie
Auteur, co-auteur :
URCUN, Stephane ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Rohan, PIerre-Yves; Arts et Metiers Institute of Technology > IHBGC
Sciumè, Giuseppe; Unversity of Bordeaux, FR > I2M Bordeaux
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
Cortex tissue relaxation and slow to medium load rates dependency can be captured by a two-phase flow poroelastic model
Date de publication/diffusion :
30 novembre 2021
Titre du périodique :
Journal of the Mechanical Behavior of Biomedical Materials
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