A multi-field finite element approach for the modelling of fibre-reinforced composites with fibre-bending stiffness
(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
- Asmanoglo, Tobias and Menzel, Andreas LU
- organization
- publishing date
- 2017-04-15
- 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
- 2024-04-14 04:59:22
@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}},
keywords = {{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}},
doi = {{10.1016/j.cma.2017.01.003}},
volume = {{317}},
year = {{2017}},
}