A comparison between automatically generated linear and parabolic tetrahedra when used to mesh a human femur

K. Polgar, M. Viceconti, J. J. O'Connor

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Finite element models of bone segments generated from computed tomography data using automatic mesh generation algorithms are becoming common not only in research but also in clinical applications such as computer aided orthopaedic surgery. Especially in the case of the latter application, the models cannot be verified against an experimental measurement, therefore their inherent accuracy should be well known before drawing conclusions based on the calculated results. This study was carried out to assess the performance of tetrahedral solid finite elements with linear and quadratic displacement functions when they are used to mesh the human femur in conjunction with automatic mesh generator methods. Ten-node quadratic tetrahedra (T10) having parabolic displacement functions were compared with four-node linear tetrahedron elements (T4) on the basis of accuracy and central processing unit (CPU) time. From the analyses of 11 finite element meshes, it was concluded that linear tetrahedral elements should be avoided and quadratic tetrahedral elements ought to be chosen for the purposes of finite element analysis of the human femur. When incremental loading and iterative solution is necessary, the coarsest possible T10 mesh compatible with accuracy is needed to minimize computer capacity and CPU time.

Original languageEnglish
Pages (from-to)85-94
Number of pages10
JournalProceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine
Volume215
Issue number1
DOIs
Publication statusPublished - 2001

Fingerprint

Finite Element Analysis
Femur
Program processors
Computer-Assisted Surgery
Mesh generation
Orthopedics
Surgery
Tomography
Bone
Finite element method
Bone and Bones
Research

Keywords

  • Finite element modelling
  • Human femur
  • Linear and parabolic tetrahedron
  • Mesh refinement

ASJC Scopus subject areas

  • Biomedical Engineering
  • Mechanical Engineering
  • Medicine(all)

Cite this

@article{2b994cda6ca1432ab8e365c572ce5a9d,
title = "A comparison between automatically generated linear and parabolic tetrahedra when used to mesh a human femur",
abstract = "Finite element models of bone segments generated from computed tomography data using automatic mesh generation algorithms are becoming common not only in research but also in clinical applications such as computer aided orthopaedic surgery. Especially in the case of the latter application, the models cannot be verified against an experimental measurement, therefore their inherent accuracy should be well known before drawing conclusions based on the calculated results. This study was carried out to assess the performance of tetrahedral solid finite elements with linear and quadratic displacement functions when they are used to mesh the human femur in conjunction with automatic mesh generator methods. Ten-node quadratic tetrahedra (T10) having parabolic displacement functions were compared with four-node linear tetrahedron elements (T4) on the basis of accuracy and central processing unit (CPU) time. From the analyses of 11 finite element meshes, it was concluded that linear tetrahedral elements should be avoided and quadratic tetrahedral elements ought to be chosen for the purposes of finite element analysis of the human femur. When incremental loading and iterative solution is necessary, the coarsest possible T10 mesh compatible with accuracy is needed to minimize computer capacity and CPU time.",
keywords = "Finite element modelling, Human femur, Linear and parabolic tetrahedron, Mesh refinement",
author = "K. Polgar and M. Viceconti and O'Connor, {J. J.}",
year = "2001",
doi = "10.1243/0954411011533562",
language = "English",
volume = "215",
pages = "85--94",
journal = "Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine",
issn = "0954-4119",
publisher = "SAGE Publications Ltd",
number = "1",

}

TY - JOUR

T1 - A comparison between automatically generated linear and parabolic tetrahedra when used to mesh a human femur

AU - Polgar, K.

AU - Viceconti, M.

AU - O'Connor, J. J.

PY - 2001

Y1 - 2001

N2 - Finite element models of bone segments generated from computed tomography data using automatic mesh generation algorithms are becoming common not only in research but also in clinical applications such as computer aided orthopaedic surgery. Especially in the case of the latter application, the models cannot be verified against an experimental measurement, therefore their inherent accuracy should be well known before drawing conclusions based on the calculated results. This study was carried out to assess the performance of tetrahedral solid finite elements with linear and quadratic displacement functions when they are used to mesh the human femur in conjunction with automatic mesh generator methods. Ten-node quadratic tetrahedra (T10) having parabolic displacement functions were compared with four-node linear tetrahedron elements (T4) on the basis of accuracy and central processing unit (CPU) time. From the analyses of 11 finite element meshes, it was concluded that linear tetrahedral elements should be avoided and quadratic tetrahedral elements ought to be chosen for the purposes of finite element analysis of the human femur. When incremental loading and iterative solution is necessary, the coarsest possible T10 mesh compatible with accuracy is needed to minimize computer capacity and CPU time.

AB - Finite element models of bone segments generated from computed tomography data using automatic mesh generation algorithms are becoming common not only in research but also in clinical applications such as computer aided orthopaedic surgery. Especially in the case of the latter application, the models cannot be verified against an experimental measurement, therefore their inherent accuracy should be well known before drawing conclusions based on the calculated results. This study was carried out to assess the performance of tetrahedral solid finite elements with linear and quadratic displacement functions when they are used to mesh the human femur in conjunction with automatic mesh generator methods. Ten-node quadratic tetrahedra (T10) having parabolic displacement functions were compared with four-node linear tetrahedron elements (T4) on the basis of accuracy and central processing unit (CPU) time. From the analyses of 11 finite element meshes, it was concluded that linear tetrahedral elements should be avoided and quadratic tetrahedral elements ought to be chosen for the purposes of finite element analysis of the human femur. When incremental loading and iterative solution is necessary, the coarsest possible T10 mesh compatible with accuracy is needed to minimize computer capacity and CPU time.

KW - Finite element modelling

KW - Human femur

KW - Linear and parabolic tetrahedron

KW - Mesh refinement

UR - http://www.scopus.com/inward/record.url?scp=0035065697&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035065697&partnerID=8YFLogxK

U2 - 10.1243/0954411011533562

DO - 10.1243/0954411011533562

M3 - Article

C2 - 11323989

AN - SCOPUS:0035065697

VL - 215

SP - 85

EP - 94

JO - Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine

JF - Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine

SN - 0954-4119

IS - 1

ER -