Document Detail


Limitation of finite element analysis of poroelastic behavior of biological tissues undergoing rapid loading.
MedLine Citation:
PMID:  20306136     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
The finite element method is used in biomechanics to provide numerical solutions to simulations of structures having complex geometry and spatially differing material properties. Time-varying load deformation behaviors can result from solid viscoelasticity as well as viscous fluid flow through porous materials. Finite element poroelastic analysis of rapidly loaded slow-draining materials may be ill-conditioned, but this problem is not widely known in the biomechanics field. It appears as instabilities in the calculation of interstitial fluid pressures, especially near boundaries and between different materials. Accurate solutions can require impractical compromises between mesh size and time steps. This article investigates the constraints imposed by this problem on tissues representative of the intervertebral disc, subjected to moderate physiological rates of deformation. Two test cylindrical structures were found to require over 10(4) linear displacement-constant pressure elements to avoid serious oscillations in calculated fluid pressure. Fewer Taylor-Hood (quadratic displacement-linear pressure elements) were required, but with complementary increases in computational costs. The Vermeer-Verruijt criterion for 1D mesh size provided guidelines for 3D mesh sizes for given time steps. Pressure instabilities may impose limitations on the use of the finite element method for simulating fluid transport behaviors of biological soft tissues at moderately rapid physiological loading rates.
Authors:
Ian A Stokes; Salman Chegini; Stephen J Ferguson; Mack G Gardner-Morse; James C Iatridis; Jeffrey P Laible
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Publication Detail:
Type:  Journal Article; Research Support, N.I.H., Extramural; Research Support, Non-U.S. Gov't     Date:  2010-03-20
Journal Detail:
Title:  Annals of biomedical engineering     Volume:  38     ISSN:  1573-9686     ISO Abbreviation:  Ann Biomed Eng     Publication Date:  2010 May 
Date Detail:
Created Date:  2010-04-01     Completed Date:  2010-06-29     Revised Date:  2014-09-11    
Medline Journal Info:
Nlm Unique ID:  0361512     Medline TA:  Ann Biomed Eng     Country:  United States    
Other Details:
Languages:  eng     Pagination:  1780-8     Citation Subset:  IM    
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MeSH Terms
Descriptor/Qualifier:
Biological Transport / physiology
Biomechanical Phenomena
Finite Element Analysis
Intervertebral Disc / physiology*
Porosity
Pressure
Solutions
Viscosity
Grant Support
ID/Acronym/Agency:
AR R01 049370/AR/NIAMS NIH HHS; R01 AR049370-04/AR/NIAMS NIH HHS; R01 AR051146/AR/NIAMS NIH HHS; R01 AR051146-02/AR/NIAMS NIH HHS; R01 AR051146-03/AR/NIAMS NIH HHS; R01 AR051146-04/AR/NIAMS NIH HHS; R01 AR051146-05/AR/NIAMS NIH HHS; R01 AR051146-06/AR/NIAMS NIH HHS
Chemical
Reg. No./Substance:
0/Solutions
Comments/Corrections

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