Modelling inclusions, holes and fibre reinforced composites using the local multi-grid finite element method

G. E. Cardew, G. M. Seed, P. Ivanyi

Research output: Contribution to journalArticle

Abstract

This paper examines the application of the local multi-grid finite element method to model both a single inclusion in an infinite plate and unidirectional laminae consisting of square and hexagonal packed arrays of fibres. Single and arrays of holes are modelled by assigning a negligible inclusion/fibre modulus of elasticity. The paper demonstrates that the local multi-grid method provides a convenient and accurate method for modelling single and arrays of inclusions compared to conventional structured and unstructured finite element models. Convenient in that local inclusion/fibre 'primitive' patches greatly assist in generating meshes consisting of arrays of fibres, and accurate in that structured base and patch meshes can be used, even though interpolation is used between levels. © 2004 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)139-147
Number of pages9
JournalAdvances in Engineering Software
Volume35
Issue number3-4
DOIs
Publication statusPublished - Mar 2004

Fingerprint

Finite element method
Fibers
Composite materials
Interpolation
Elastic moduli

Keywords

  • Fibre reinforced composites
  • Finite element method
  • Modelling inclusions

Cite this

@article{ba4da152b6984a25a85c3fedae24d162,
title = "Modelling inclusions, holes and fibre reinforced composites using the local multi-grid finite element method",
abstract = "This paper examines the application of the local multi-grid finite element method to model both a single inclusion in an infinite plate and unidirectional laminae consisting of square and hexagonal packed arrays of fibres. Single and arrays of holes are modelled by assigning a negligible inclusion/fibre modulus of elasticity. The paper demonstrates that the local multi-grid method provides a convenient and accurate method for modelling single and arrays of inclusions compared to conventional structured and unstructured finite element models. Convenient in that local inclusion/fibre 'primitive' patches greatly assist in generating meshes consisting of arrays of fibres, and accurate in that structured base and patch meshes can be used, even though interpolation is used between levels. {\circledC} 2004 Elsevier Ltd. All rights reserved.",
keywords = "Fibre reinforced composites, Finite element method, Modelling inclusions",
author = "Cardew, {G. E.} and Seed, {G. M.} and P. Ivanyi",
year = "2004",
month = "3",
doi = "10.1016/j.advengsoft.2004.03.004",
language = "English",
volume = "35",
pages = "139--147",
journal = "Advances in Engineering Software",
issn = "0965-9978",
publisher = "Elsevier Limited",
number = "3-4",

}

Modelling inclusions, holes and fibre reinforced composites using the local multi-grid finite element method. / Cardew, G. E.; Seed, G. M.; Ivanyi, P.

In: Advances in Engineering Software, Vol. 35, No. 3-4, 03.2004, p. 139-147.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Modelling inclusions, holes and fibre reinforced composites using the local multi-grid finite element method

AU - Cardew, G. E.

AU - Seed, G. M.

AU - Ivanyi, P.

PY - 2004/3

Y1 - 2004/3

N2 - This paper examines the application of the local multi-grid finite element method to model both a single inclusion in an infinite plate and unidirectional laminae consisting of square and hexagonal packed arrays of fibres. Single and arrays of holes are modelled by assigning a negligible inclusion/fibre modulus of elasticity. The paper demonstrates that the local multi-grid method provides a convenient and accurate method for modelling single and arrays of inclusions compared to conventional structured and unstructured finite element models. Convenient in that local inclusion/fibre 'primitive' patches greatly assist in generating meshes consisting of arrays of fibres, and accurate in that structured base and patch meshes can be used, even though interpolation is used between levels. © 2004 Elsevier Ltd. All rights reserved.

AB - This paper examines the application of the local multi-grid finite element method to model both a single inclusion in an infinite plate and unidirectional laminae consisting of square and hexagonal packed arrays of fibres. Single and arrays of holes are modelled by assigning a negligible inclusion/fibre modulus of elasticity. The paper demonstrates that the local multi-grid method provides a convenient and accurate method for modelling single and arrays of inclusions compared to conventional structured and unstructured finite element models. Convenient in that local inclusion/fibre 'primitive' patches greatly assist in generating meshes consisting of arrays of fibres, and accurate in that structured base and patch meshes can be used, even though interpolation is used between levels. © 2004 Elsevier Ltd. All rights reserved.

KW - Fibre reinforced composites

KW - Finite element method

KW - Modelling inclusions

UR - http://www.scopus.com/inward/record.url?scp=2442546295&partnerID=8YFLogxK

U2 - 10.1016/j.advengsoft.2004.03.004

DO - 10.1016/j.advengsoft.2004.03.004

M3 - Article

VL - 35

SP - 139

EP - 147

JO - Advances in Engineering Software

JF - Advances in Engineering Software

SN - 0965-9978

IS - 3-4

ER -