Nonlinear micro-mechanical response of the fibre-reinforced polymer composites including matrix damage and fibre-matrix decohesion

Zahur Ullah, L. Kaczmarczyk, C. J. Pearce

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A three-dimensional multi-scale computational homogenisation framework was developed for the prediction of nonlinear micro-mechanical response of the fibre-reinforced polymer (FRP) composite. Two dominant dam- age mechanisms, i.e. matrix damage and fibre-matrix decohesion were considered and modelled using a non- associative pressure dependent thermodynamically consistent paraboloidal yield criterion and cohesive elements respectively. A linear-elastic transversely isotropic materials model was used to model yarns within the representative volume element (RVE), the principal directions for which were calculated using a potential flow analysis along these yarns. A unified approach was used to impose the RVE boundary conditions, which allows conve- nient switching between linear displacement, uniform traction and periodic boundary conditions. Furthermore, the flexibility of hierarchic basis functions and distributed memory parallel programming were fully utilised. The accuracy and performance of the developed computational framework were demonstrated using an RVE with ran- domly distributed but periodic and axially aligned unidirectional fibres subjected to transverse tension and shear. The macro-strain versus homogenised stress responses were validated against the reference results from the liter- ature. Finally, effects of varying interfacial strength and fracture energy were studied on the homogenised stress versus macro-strain responses.
LanguageEnglish
Title of host publicationUnknown Host Publication
Pages256-259
Number of pages4
Publication statusAccepted/In press - 29 Mar 2016
Event24th UK Conference of the Association for Computational Mechanics in Engineering - Cardiff University, Cardiff, UK
Duration: 29 Mar 2016 → …

Conference

Conference24th UK Conference of the Association for Computational Mechanics in Engineering
Period29/03/16 → …

Fingerprint

Polymer matrix composites
Macros
Yarn
Fibers
Boundary conditions
Parallel programming
Fracture energy
Potential flow
Dams
Data storage equipment
Composite materials
Polymers

Keywords

  • finite element analysis
  • fibre reinforced polymer
  • multi-scale computational homogenisation
  • cohesive zone models
  • computational plasticity

Cite this

Ullah, Z., Kaczmarczyk, L., & Pearce, C. J. (Accepted/In press). Nonlinear micro-mechanical response of the fibre-reinforced polymer composites including matrix damage and fibre-matrix decohesion. In Unknown Host Publication (pp. 256-259)
Ullah, Zahur ; Kaczmarczyk, L. ; Pearce, C. J. / Nonlinear micro-mechanical response of the fibre-reinforced polymer composites including matrix damage and fibre-matrix decohesion. Unknown Host Publication. 2016. pp. 256-259
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Ullah, Z, Kaczmarczyk, L & Pearce, CJ 2016, Nonlinear micro-mechanical response of the fibre-reinforced polymer composites including matrix damage and fibre-matrix decohesion. in Unknown Host Publication. pp. 256-259, 24th UK Conference of the Association for Computational Mechanics in Engineering, 29/03/16.

Nonlinear micro-mechanical response of the fibre-reinforced polymer composites including matrix damage and fibre-matrix decohesion. / Ullah, Zahur; Kaczmarczyk, L.; Pearce, C. J.

Unknown Host Publication. 2016. p. 256-259.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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AB - A three-dimensional multi-scale computational homogenisation framework was developed for the prediction of nonlinear micro-mechanical response of the fibre-reinforced polymer (FRP) composite. Two dominant dam- age mechanisms, i.e. matrix damage and fibre-matrix decohesion were considered and modelled using a non- associative pressure dependent thermodynamically consistent paraboloidal yield criterion and cohesive elements respectively. A linear-elastic transversely isotropic materials model was used to model yarns within the representative volume element (RVE), the principal directions for which were calculated using a potential flow analysis along these yarns. A unified approach was used to impose the RVE boundary conditions, which allows conve- nient switching between linear displacement, uniform traction and periodic boundary conditions. Furthermore, the flexibility of hierarchic basis functions and distributed memory parallel programming were fully utilised. The accuracy and performance of the developed computational framework were demonstrated using an RVE with ran- domly distributed but periodic and axially aligned unidirectional fibres subjected to transverse tension and shear. The macro-strain versus homogenised stress responses were validated against the reference results from the liter- ature. Finally, effects of varying interfacial strength and fracture energy were studied on the homogenised stress versus macro-strain responses.

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