A finite element dual porosity approach to model deformation-induced fluid flow in cortical bone

被引:35
|
作者
Fornells, Pere [1 ]
Garcia-Aznar, Jose Manuel [1 ]
Doblare, Manuel [1 ]
机构
[1] Univ Zaragoza, Aragon Inst Engn Res I3A, Dept Engn Mech, Grp Struct Mech & Mat Modeling, E-50018 Zaragoza, Spain
关键词
cortical bone; poroelasticity; dual porosity; interstitial fluid flow; finite element analysis; bone remodeling;
D O I
10.1007/s10439-007-9351-5
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
Fluid flow through the osteocyte canaliculi network is widely believed to be a main factor that controls bone adaptation. The difficulty of in vivo measurement of this flow within cortical bone makes computational models an appealing alternative to estimate it. We present in this paper a finite element dual porosity macroscopic model that can contribute to evaluate the interstitial fluid flow induced by mechanical loads in large pieces of bone. This computational model allows us to predict the macroscopic fluid flow at both vascular and canalicular porosities in a whole loaded bone. Our results confirm that the general trend in the fluid flow field predicted is similar to the one obtained with previous microscopic models, and that in a whole bone model it is able to estimate the zones with higher bone remodeling.
引用
收藏
页码:1687 / 1698
页数:12
相关论文
共 50 条
  • [21] THE WEAK GALERKIN FINITE ELEMENT METHOD FOR THE DUAL-POROSITY-STOKES MODEL
    Yang, Lin
    Mu, Wei
    Peng, Hui
    Wang, Xiuli
    INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2024, 21 (03) : 587 - 608
  • [22] THE WEAK GALERKIN FINITE ELEMENT METHOD FOR THE DUAL-POROSITY-STOKES MODEL
    Yang, Lin
    Mu, Wei
    Peng, Hui
    Wang, Xiuli
    INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2024, 21 (04) : 587 - 608
  • [23] A finite element approach for multiphase fluid flow in porous media
    Mroginski, Javier L.
    Ariel Di Rado, H.
    Beneyto, Pablo A.
    Awruch, Armando M.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2010, 81 (01) : 76 - 91
  • [24] Effect of Deformation-Induced Suction in the Behavior of Unsaturated Fine-Grained Soils Using Simplified Finite-Element Model
    Ravichandran, Nadarajah
    Krishnapillai, Shada H.
    INTERNATIONAL JOURNAL OF GEOMECHANICS, 2013, 13 (05) : 483 - 495
  • [25] Two-grid finite element method for the dual-permeability-Stokes fluid flow model
    Nasrin Jahan Nasu
    Md. Abdullah Al Mahbub
    Shahid Hussain
    Haibiao Zheng
    Numerical Algorithms, 2021, 88 : 1703 - 1731
  • [26] Two-grid finite element method for the dual-permeability-Stokes fluid flow model
    Nasu, Nasrin Jahan
    Al Mahbub, Md Abdullah
    Hussain, Shahid
    Zheng, Haibiao
    NUMERICAL ALGORITHMS, 2021, 88 (04) : 1703 - 1731
  • [27] Mixed stabilized finite element method for the stationary Stokes-dual-permeability fluid flow model
    Al Mahbub, Md Abdullah
    Shi, Feng
    Nasu, Nasrin Jahan
    Wang, Yongshuai
    Zheng, Haibiao
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 358 (358)
  • [28] FINITE-ELEMENT SIMULATION OF DEEP DRAWING OF STAINLESS-STEEL SHEET WITH DEFORMATION-INDUCED TRANSFORMATION
    SHINAGAWA, K
    MORI, KI
    OSAKADA, K
    JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 1991, 27 (1-3) : 301 - 310
  • [29] A strongly conservative finite element method for the coupled Stokes and dual-porosity model
    Wen, Jing
    Su, Jian
    He, Yinnian
    Wang, Zhiheng
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 404
  • [30] Application of the θ-method to a telegraphic model of fluid flow in a dual-porosity medium
    Gonzalez-Calderon, Alfredo
    Vivas-Cruz, Luis X.
    Cesar Herrera-Hernandez, Erik
    JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 352 : 426 - 444