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A multi-field finite element approach for the modelling of fibre-reinforced composites with fibre-bending stiffness

Asmanoglo, Tobias and Menzel, Andreas LU (2017) In Computer Methods in Applied Mechanics and Engineering 317. p.1037-1067
Abstract

The implementation of an enhanced modelling approach for fibre-reinforced composites is presented which may, in addition to the directional dependency induced by the fibres, allow the capturing of the fibre-bending stiffness. The theoretical framework is based on the introduction of higher-order gradients of the motion function as additional arguments of the energy function such that size effects can be taken into account. However, the application of higher-order gradients within a finite element framework requires particular care with respect to continuity requirements. In this contribution the usage of a mixed-type multi-field finite element formulation and the fulfilment of the continuity requirement only in a weak sense is proposed.... (More)

The implementation of an enhanced modelling approach for fibre-reinforced composites is presented which may, in addition to the directional dependency induced by the fibres, allow the capturing of the fibre-bending stiffness. The theoretical framework is based on the introduction of higher-order gradients of the motion function as additional arguments of the energy function such that size effects can be taken into account. However, the application of higher-order gradients within a finite element framework requires particular care with respect to continuity requirements. In this contribution the usage of a mixed-type multi-field finite element formulation and the fulfilment of the continuity requirement only in a weak sense is proposed. Based on a particular specification of the energy function representative boundary value problems are discussed to assess the model's properties. It is then shown that a model which is based on one additional invariant compared to the classic structural tensor approach allows, in principle, to incorporate effects which are due to the fibre-bending stiffness.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Fibre-bending stiffness, Fibre-reinforced composites, Generalised continuum, Multi-field finite element approach, Size effect
in
Computer Methods in Applied Mechanics and Engineering
volume
317
pages
31 pages
publisher
Elsevier
external identifiers
  • scopus:85011655928
  • wos:000398373500042
ISSN
0045-7825
DOI
10.1016/j.cma.2017.01.003
language
English
LU publication?
yes
id
64671b0f-83ad-4c2c-842e-ce8c52472d69
date added to LUP
2017-02-20 08:51:32
date last changed
2018-01-07 11:50:57
@article{64671b0f-83ad-4c2c-842e-ce8c52472d69,
  abstract     = {<p>The implementation of an enhanced modelling approach for fibre-reinforced composites is presented which may, in addition to the directional dependency induced by the fibres, allow the capturing of the fibre-bending stiffness. The theoretical framework is based on the introduction of higher-order gradients of the motion function as additional arguments of the energy function such that size effects can be taken into account. However, the application of higher-order gradients within a finite element framework requires particular care with respect to continuity requirements. In this contribution the usage of a mixed-type multi-field finite element formulation and the fulfilment of the continuity requirement only in a weak sense is proposed. Based on a particular specification of the energy function representative boundary value problems are discussed to assess the model's properties. It is then shown that a model which is based on one additional invariant compared to the classic structural tensor approach allows, in principle, to incorporate effects which are due to the fibre-bending stiffness.</p>},
  author       = {Asmanoglo, Tobias and Menzel, Andreas},
  issn         = {0045-7825},
  keyword      = {Fibre-bending stiffness,Fibre-reinforced composites,Generalised continuum,Multi-field finite element approach,Size effect},
  language     = {eng},
  month        = {04},
  pages        = {1037--1067},
  publisher    = {Elsevier},
  series       = {Computer Methods in Applied Mechanics and Engineering},
  title        = {A multi-field finite element approach for the modelling of fibre-reinforced composites with fibre-bending stiffness},
  url          = {http://dx.doi.org/10.1016/j.cma.2017.01.003},
  volume       = {317},
  year         = {2017},
}