Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
A NUMERICAL STUDY ON A TRANSVERSELY ISOTROPIC PERMEABILITY MODEL APPLIED TO SOFT TISSUES
Submission Author:
Bruno Klahr , SC
Co-Authors:
Thayller Weverton Barp, Bruno Klahr, Thiago André Carniel, Eduardo Fancello
Presenter: Bruno Klahr
doi://10.26678/ABCM.COBEM2021.COB2021-1604
Abstract
Fibrous soft biological tissues are mainly composed of water, a cellular matrix and collagen fibers. Due to the poorly vascularization of such tissues, solute transport and cell nutrition are likely to be ruled by diffusive phenomena by means of interstitial fluid flow. In order to investigate mechanisms associated with the fluid flow, biphasic models, have been widely used to investigate the mechanical behavior of soft biological tissues. In some tissues, due to the organization of the collagen fiber network, the interstitial flow may be strongly dependent on the fibers’ orientation. Motivated by these observations, this work aims to investigate the influence of fiber direction on the interstitial flow. To this end, a biphasic formulation in finite deformations with the classic Darcy law to represent the fluid flow behavior was employed. To incorporate the influence of the fibrous structure on the fluid flow, a transversely isotropic permeability model is derived. The biphasic governing equations are discretized by the finite element method, using an iterative sequential strategy for solving the coupled problem. To validate the proposed formulation, a numerical confined compression test was performed on a home-made finite element code and compared with the results obtained from a commercial FEM software. The results show that the proposed formulation is capable to represent the fluid flow oriented by fibers.
Keywords
Transversely Isotropic Permeability, Finite Element Model, Soft Biological Tissues, poroelasticity
