A Three-Dimensional Finite Element Method for Large Elastic Deformations of Ventricular Myocardium: I—Cylindrical and Spherical Polar CoordinatesSource: Journal of Biomechanical Engineering:;1996:;volume( 118 ):;issue: 004::page 452Author:K. D. Costa
,
P. J. Hunter
,
J. M. Rogers
,
J. M. Guccione
,
L. K. Waldman
,
A. D. McCulloch
DOI: 10.1115/1.2796031Publisher: The American Society of Mechanical Engineers (ASME)
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.
keyword(s): Finite element methods , Deformation , Myocardium , Degrees of freedom , Tensors , Modeling , Disks , Compression , Cylinders , Equations , Errors , Interpolation , Polynomials , Pressure AND Inflationary universe ,
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contributor author | K. D. Costa | |
contributor author | P. J. Hunter | |
contributor author | J. M. Rogers | |
contributor author | J. M. Guccione | |
contributor author | L. K. Waldman | |
contributor author | A. D. McCulloch | |
date accessioned | 2017-05-08T23:49:22Z | |
date available | 2017-05-08T23:49:22Z | |
date copyright | November, 1996 | |
date issued | 1996 | |
identifier issn | 0148-0731 | |
identifier other | JBENDY-25968#452_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/116528 | |
description 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | A Three-Dimensional Finite Element Method for Large Elastic Deformations of Ventricular Myocardium: I—Cylindrical and Spherical Polar Coordinates | |
type | Journal Paper | |
journal volume | 118 | |
journal issue | 4 | |
journal title | Journal of Biomechanical Engineering | |
identifier doi | 10.1115/1.2796031 | |
journal fristpage | 452 | |
journal lastpage | 463 | |
identifier eissn | 1528-8951 | |
keywords | Finite element methods | |
keywords | Deformation | |
keywords | Myocardium | |
keywords | Degrees of freedom | |
keywords | Tensors | |
keywords | Modeling | |
keywords | Disks | |
keywords | Compression | |
keywords | Cylinders | |
keywords | Equations | |
keywords | Errors | |
keywords | Interpolation | |
keywords | Polynomials | |
keywords | Pressure AND Inflationary universe | |
tree | Journal of Biomechanical Engineering:;1996:;volume( 118 ):;issue: 004 | |
contenttype | Fulltext |