A unified framework for the multi-scale computational homogenisation of 3D-textile composites

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper extends the applications of a novel and fully automated multi-scale computational homogenisation framework, originally proposed by the authors (Ullah, et al. (2017)) for uni- directional and 2D-textile composites, to 3D-textile composites. 3D-textile composites offer many advantages over 2D-textile composites but their highly complicated and unpredictable post-cured geometries make their design very challenging. Accurate computational models are therefore essential to the development of these materials. The computational framework described in this paper possesses a variety of novel features which have never been tried for this class of composites and can potentially help to fully automatise and improve their design process. A unified approach is used to impose the representative volume element boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order, which allows one to increase the order of approximation without changing the finite element mesh. The yarns’ principal directions, required for the transversely isotropic material model are calculated using a potential flow analysis along these yarns. This feature is very useful for 3D-textile composites and can accurately determine fibres’ directions even in the case of very deformed yarns. A numerical example from literature consisting of a 3D-orthogonal woven composite is used to demonstrate the correct implementation and performance of the developed computational framework. Also, the developed computational framework is used to perform a comparative study of the homogenised mechanical properties of five 3D-textile composites with different yarn architectures.
LanguageEnglish
Pages582-598
Number of pages17
JournalComposites Part B: Engineering
Volume167
Early online date19 Mar 2019
DOIs
Publication statusPublished - 15 Jun 2019

Fingerprint

Textiles
Composite materials
Yarn
Boundary conditions
Potential flow
Polynomials
Mechanical properties
Geometry
Fibers

Keywords

  • 3D weaving
  • modeling and simulation
  • Multi-scale computational homogenisation
  • 2.5D and 3D textile/woven
  • Transverse isotropy
  • Finite element analysis
  • FRP composites

Cite this

@article{eb444b4f26dc4604bcefdc134e33e384,
title = "A unified framework for the multi-scale computational homogenisation of 3D-textile composites",
abstract = "This paper extends the applications of a novel and fully automated multi-scale computational homogenisation framework, originally proposed by the authors (Ullah, et al. (2017)) for uni- directional and 2D-textile composites, to 3D-textile composites. 3D-textile composites offer many advantages over 2D-textile composites but their highly complicated and unpredictable post-cured geometries make their design very challenging. Accurate computational models are therefore essential to the development of these materials. The computational framework described in this paper possesses a variety of novel features which have never been tried for this class of composites and can potentially help to fully automatise and improve their design process. A unified approach is used to impose the representative volume element boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order, which allows one to increase the order of approximation without changing the finite element mesh. The yarns’ principal directions, required for the transversely isotropic material model are calculated using a potential flow analysis along these yarns. This feature is very useful for 3D-textile composites and can accurately determine fibres’ directions even in the case of very deformed yarns. A numerical example from literature consisting of a 3D-orthogonal woven composite is used to demonstrate the correct implementation and performance of the developed computational framework. Also, the developed computational framework is used to perform a comparative study of the homogenised mechanical properties of five 3D-textile composites with different yarn architectures.",
keywords = "3D weaving, modeling and simulation, Multi-scale computational homogenisation, 2.5D and 3D textile/woven, Transverse isotropy, Finite element analysis, FRP composites",
author = "Zahur Ullah and E Archer and AT McIlhagger and Eileen Harkin-Jones",
year = "2019",
month = "6",
day = "15",
doi = "10.1016/j.compositesb.2019.03.027",
language = "English",
volume = "167",
pages = "582--598",
journal = "Composites Part B: Engineering",
issn = "1359-8368",
publisher = "Elsevier",

}

A unified framework for the multi-scale computational homogenisation of 3D-textile composites. / Ullah, Zahur; University of Glasgow; Cardiff University ; Archer, E; McIlhagger, AT; Harkin-Jones, Eileen.

In: Composites Part B: Engineering, Vol. 167, 15.06.2019, p. 582-598.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A unified framework for the multi-scale computational homogenisation of 3D-textile composites

AU - Ullah, Zahur

AU - Archer, E

AU - McIlhagger, AT

AU - Harkin-Jones, Eileen

PY - 2019/6/15

Y1 - 2019/6/15

N2 - This paper extends the applications of a novel and fully automated multi-scale computational homogenisation framework, originally proposed by the authors (Ullah, et al. (2017)) for uni- directional and 2D-textile composites, to 3D-textile composites. 3D-textile composites offer many advantages over 2D-textile composites but their highly complicated and unpredictable post-cured geometries make their design very challenging. Accurate computational models are therefore essential to the development of these materials. The computational framework described in this paper possesses a variety of novel features which have never been tried for this class of composites and can potentially help to fully automatise and improve their design process. A unified approach is used to impose the representative volume element boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order, which allows one to increase the order of approximation without changing the finite element mesh. The yarns’ principal directions, required for the transversely isotropic material model are calculated using a potential flow analysis along these yarns. This feature is very useful for 3D-textile composites and can accurately determine fibres’ directions even in the case of very deformed yarns. A numerical example from literature consisting of a 3D-orthogonal woven composite is used to demonstrate the correct implementation and performance of the developed computational framework. Also, the developed computational framework is used to perform a comparative study of the homogenised mechanical properties of five 3D-textile composites with different yarn architectures.

AB - This paper extends the applications of a novel and fully automated multi-scale computational homogenisation framework, originally proposed by the authors (Ullah, et al. (2017)) for uni- directional and 2D-textile composites, to 3D-textile composites. 3D-textile composites offer many advantages over 2D-textile composites but their highly complicated and unpredictable post-cured geometries make their design very challenging. Accurate computational models are therefore essential to the development of these materials. The computational framework described in this paper possesses a variety of novel features which have never been tried for this class of composites and can potentially help to fully automatise and improve their design process. A unified approach is used to impose the representative volume element boundary conditions, which allows convenient switching between linear displacement, uniform traction and periodic boundary conditions. The computational framework is implemented using hierarchic basis functions of arbitrary polynomial order, which allows one to increase the order of approximation without changing the finite element mesh. The yarns’ principal directions, required for the transversely isotropic material model are calculated using a potential flow analysis along these yarns. This feature is very useful for 3D-textile composites and can accurately determine fibres’ directions even in the case of very deformed yarns. A numerical example from literature consisting of a 3D-orthogonal woven composite is used to demonstrate the correct implementation and performance of the developed computational framework. Also, the developed computational framework is used to perform a comparative study of the homogenised mechanical properties of five 3D-textile composites with different yarn architectures.

KW - 3D weaving

KW - modeling and simulation

KW - Multi-scale computational homogenisation

KW - 2.5D and 3D textile/woven

KW - Transverse isotropy

KW - Finite element analysis

KW - FRP composites

UR - http://www.scopus.com/inward/record.url?scp=85063210191&partnerID=8YFLogxK

UR - https://pure.ulster.ac.uk/en/publications/a-unified-framework-for-the-multi-scale-computational-homogenisat

U2 - 10.1016/j.compositesb.2019.03.027

DO - 10.1016/j.compositesb.2019.03.027

M3 - Article

VL - 167

SP - 582

EP - 598

JO - Composites Part B: Engineering

T2 - Composites Part B: Engineering

JF - Composites Part B: Engineering

SN - 1359-8368

ER -