PMID: 8950648Nov 1, 1996Paper

A three-dimensional finite element method for large elastic deformations of ventricular myocardium: I--Cylindrical and spherical polar coordinates

Journal of Biomechanical Engineering
K D CostaA D McCulloch

Abstract

A three-dimensional Galerkin finite element method was developed for large deformations of ventricular myocardium and other incompressible, nonlinear elastic, anisotropic materials. Cylindrical and spherical elements were used to solve axisymmetric problems with r.m.s. errors typically less than 2 percent. Isochoric interpolation and pressure boundary constraint equations enhanced low-order curvilinear elements under special circumstances (69 percent savings in degrees of freedom, 78 percent savings in solution time for inflation of a thick-walled cylinder). Generalized tensor products of linear Lagrange and cubic Hermite polynomials permitted custom elements with improved performance, including 52 percent savings in degrees of freedom and 66 percent savings in solution time for compression of a circular disk. Such computational efficiencies become significant for large scale problems such as modeling the heart.

References

Jan 1, 1979·Annals of Biomedical Engineering·T ArtsP C Veenstra
Apr 1, 1992·The American Journal of Physiology·J M HuygheR S Reneman
Jan 1, 1991·Journal of Biomechanics·J M HuygheR M Heethaar
Aug 1, 1991·Journal of Biomechanical Engineering·P M NielsenB H Smaill
Feb 1, 1991·Journal of Biomechanical Engineering·J M GuccioneL K Waldman
Jan 1, 1990·Circulation Research·J H Omens, Y C Fung
Apr 1, 1989·Circulation Research·A D McCullochP J Hunter
Aug 1, 1987·Journal of Biomechanical Engineering·D K Bogen
Mar 1, 1980·Cardiovascular Research·R M HuismanP Sipkema
Aug 1, 1994·Comparative Biochemistry and Physiology. Comparative Physiology·P W ChiouC Lin
Oct 1, 1995·Journal of Biomechanics·J M GuccioneA D McCulloch

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Citations

Mar 30, 2004·Journal of Biomechanics·Espen W RemmeB Bjørn Angelsen
Apr 16, 2003·Journal of Biomechanics·Carey StevensPeter Hunter
May 7, 2003·Progress in Biophysics and Molecular Biology·Carey Stevens, Peter J Hunter
Oct 24, 1998·Progress in Biophysics and Molecular Biology·F J Vetter, A D McCulloch
Oct 24, 1998·Progress in Biophysics and Molecular Biology·K May-Newman, A D McCulloch
Mar 10, 1999·Progress in Biophysics and Molecular Biology·P KohlD Noble
Dec 4, 2001·Medical Image Analysis·W W Baxter, A D McCulloch
Mar 27, 2001·Computer Methods in Biomechanics and Biomedical Engineering·A. W. J. GielenJ. D. Janssen
May 1, 2001·Computer Methods in Biomechanics and Biomedical Engineering·G S NelsonN G Shrive
May 7, 2011·Computer Methods in Biomechanics and Biomedical Engineering·L ZhongR S Tan
Mar 27, 2001·Computer Methods in Biomechanics and Biomedical Engineering·J. OhayonH. Cai
May 13, 2003·Tissue Engineering·David C LatimerKevin Kit Parker
Apr 17, 2008·Journal of Biomechanical Engineering·Weixin ShenJames H Stuhmiller
Jul 1, 2012·Journal of Biomechanical Engineering·Jagir R HussanPeter J Hunter
Dec 25, 2012·Annals of Biomedical Engineering·Chiara BelliniSalvatore Federico
Nov 26, 2010·Computers in Biology and Medicine·Kouroush Sadegh Zadeh
Dec 7, 2007·IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control·Wei-Ning LeeElisa E Konofagou
Jul 19, 2011·Progress in Biophysics and Molecular Biology·Jazmin Aguado-SierraAndrew D McCulloch
Sep 13, 2011·Journal of Biomechanics·Elena S Di MartinoDavid S Schwartzman
Jul 24, 2004·Medical Engineering & Physics·Donghua LiaoHans Gregersen
Dec 23, 2008·Experimental Physiology·Alistair A Young, Alejandro F Frangi
Nov 25, 2000·Journal of Biomechanical Engineering·R J OkamotoJ M Guccione
Jan 8, 2013·International Journal for Numerical Methods in Biomedical Engineering·H M WangT J Wang
Feb 27, 2018·Medical & Biological Engineering & Computing·Arnab PalitMark A Williams
Jun 23, 2006·Clinical and Experimental Pharmacology & Physiology·D KellyD A Saint
Nov 1, 2006·Journal of Cardiac Surgery·Amod P Tendulkar, Alden H Harken
May 5, 2005·Journal of Biomechanical Engineering·Kevin F AugensteinAlistair A Young
Dec 3, 2008·Cardiovascular Engineering·Reza KarimiMohammad R Kaazempur Mofrad
Dec 19, 2008·Annals of Biomedical Engineering·J KortsmitF P T Baaijens
Jun 27, 2006·American Journal of Physiology. Heart and Circulatory Physiology·Carol A Gibbons KroekerNigel G Shrive
May 30, 2009·Bioinspiration & Biomimetics·Anna Grosberg, Morteza Gharib
Feb 15, 2005·American Journal of Physiology. Heart and Circulatory Physiology·Wolfgang A GoetzCarlos M G Duran
Sep 13, 2005·Computer Methods in Biomechanics and Biomedical Engineering·Jaroslav Mackerle
Sep 21, 2007·Progress in Biophysics and Molecular Biology·Steven A Niederer, Nicolas P Smith
Oct 28, 2019·Biophysical Journal·Abdallah I HasaballaMartyn P Nash

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