Publication detail

From computed tomography to finite element space: A unified bone material mapping strategy

HENYŠ, P. VOŘECHOVSKÝ, M. STEBEL, J. KUCHAŘ, M. EXNER, P.

Original Title

From computed tomography to finite element space: A unified bone material mapping strategy

Type

journal article in Web of Science

Language

English

Original Abstract

Background: The spatially varying mechanical properties in finite element models of bone are most often derived from bone density data obtained via quantitative computed tomography. The key step is to accurately and efficiently map the density given in voxels to the finite element mesh.Methods: The density projection is first formulated in least-squares terms and then discretized using a continuous and discontinuous variant of the finite element method. Both discretization variants are compared with the nodal and element approaches known from the literature.Findings: In terms of accuracy in the L2 norm, energy distance and efficiency, the discontinuous zero-order variant appears to be the most advantageous. The proposed variant sufficiently preserves the spectrum of den-sity at the edges, while keeping computational cost low.Interpretation: The continuous finite element method is analogous to the nodal formulation in the literature, while the discontinuous finite element method is analogous to the element formulation. The two variants differ in terms of implementation, computational cost and ability to preserve the density spectrum. These differences cannot be described and measured by known indirect methods from the literature.

Keywords

Bone fracture; Bone stiffness; Biomechanics; Computational  modeling

Authors

HENYŠ, P.; VOŘECHOVSKÝ, M.; STEBEL, J.; KUCHAŘ, M.; EXNER, P.

Released

1. 5. 2022

Publisher

ELSEVIER SCI LTD

Location

OXFORD

ISBN

0268-0033

Periodical

CLINICAL BIOMECHANICS

Year of study

97

Number

7

State

United Kingdom of Great Britain and Northern Ireland

Pages count

12

URL

https://www.clinbiomech.com/article/S0268-0033(22)00134-6/fulltext

BibTex

@article{BUT179193,
  author="Petr {Henyš} and Miroslav {Vořechovský} and Jan {Stebel} and MIchal {Kuchař} and Pavel {Exner}",
  title="From computed tomography to finite element space: A unified bone material mapping strategy",
  journal="CLINICAL BIOMECHANICS",
  year="2022",
  volume="97",
  number="7",
  pages="12",
  doi="10.1016/j.clinbiomech.2022.105704",
  issn="0268-0033",
  url="https://www.clinbiomech.com/article/S0268-0033(22)00134-6/fulltext"
}