A finite deformation continuum modelling framework for curvature effects in fibre-reinforced nanocomposites
(2017) In Journal of the Mechanics and Physics of Solids 107. p.411-432- Abstract
Motivated by experimental findings on one-dimensional nano-materials, this contribution focusses on the elaboration of a fibre curvature based higher-order gradient contribution to the stored energy function in a finite deformation setting. The presented approach is based on the fundamental theoretical developments for fibre-reinforced composites presented by Spencer and Soldatos (2007), which take into account the fibre-bending stiffness in addition to the directional dependency induced by the fibres. A mixed-type finite element formulation is then used for the solution of the resulting system of coupled partial differential equations. A specific form of the stored energy function is introduced such that well-interpretable... (More)
Motivated by experimental findings on one-dimensional nano-materials, this contribution focusses on the elaboration of a fibre curvature based higher-order gradient contribution to the stored energy function in a finite deformation setting. The presented approach is based on the fundamental theoretical developments for fibre-reinforced composites presented by Spencer and Soldatos (2007), which take into account the fibre-bending stiffness in addition to the directional dependency induced by the fibres. A mixed-type finite element formulation is then used for the solution of the resulting system of coupled partial differential equations. A specific form of the stored energy function is introduced such that well-interpretable contributions to the stress- and the couple stress tensor are obtained. It is shown that this framework may, in principle, account for fibres of different diameters and induces a natural length scale into the model. Such continuum theory covering size-effects is of special interest since experiments for different materials suggest significant size-effects at small length scales.
(Less)
- author
- Asmanoglo, Tobias and Menzel, Andreas LU
- organization
- publishing date
- 2017-10-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- B anisotropic material, B fiber-reinforced composite material, C finite elements, Curvature- and size effects in nanocomposites
- in
- Journal of the Mechanics and Physics of Solids
- volume
- 107
- pages
- 22 pages
- publisher
- Elsevier
- external identifiers
-
- wos:000409151500022
- scopus:85025809554
- ISSN
- 0022-5096
- DOI
- 10.1016/j.jmps.2017.06.012
- language
- English
- LU publication?
- yes
- id
- 41444d2c-42c4-4e50-82f7-b9c7852773ea
- date added to LUP
- 2017-08-02 07:29:04
- date last changed
- 2024-07-22 01:29:54
@article{41444d2c-42c4-4e50-82f7-b9c7852773ea,
abstract = {{<p>Motivated by experimental findings on one-dimensional nano-materials, this contribution focusses on the elaboration of a fibre curvature based higher-order gradient contribution to the stored energy function in a finite deformation setting. The presented approach is based on the fundamental theoretical developments for fibre-reinforced composites presented by Spencer and Soldatos (2007), which take into account the fibre-bending stiffness in addition to the directional dependency induced by the fibres. A mixed-type finite element formulation is then used for the solution of the resulting system of coupled partial differential equations. A specific form of the stored energy function is introduced such that well-interpretable contributions to the stress- and the couple stress tensor are obtained. It is shown that this framework may, in principle, account for fibres of different diameters and induces a natural length scale into the model. Such continuum theory covering size-effects is of special interest since experiments for different materials suggest significant size-effects at small length scales.</p>}},
author = {{Asmanoglo, Tobias and Menzel, Andreas}},
issn = {{0022-5096}},
keywords = {{B anisotropic material; B fiber-reinforced composite material; C finite elements; Curvature- and size effects in nanocomposites}},
language = {{eng}},
month = {{10}},
pages = {{411--432}},
publisher = {{Elsevier}},
series = {{Journal of the Mechanics and Physics of Solids}},
title = {{A finite deformation continuum modelling framework for curvature effects in fibre-reinforced nanocomposites}},
url = {{http://dx.doi.org/10.1016/j.jmps.2017.06.012}},
doi = {{10.1016/j.jmps.2017.06.012}},
volume = {{107}},
year = {{2017}},
}