On the objectivity of the nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites
On the objectivity of the nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites
The nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites has been investigated in this paper aiming at its applications in general 3D stress conditions in a consistent manner. So far, such relationship has only been addressed in plane stress conditions. In this paper, it has been shown that its straightforward generalisation to 3D stress states lacks objectivity, which is a basic requirement for all theoretical studies of physical problems. A new formulation is proposed based on the stress invariants and the complementary strain energy guided by the rational theoretical framework of nonlinear elasticity. A consistent and objective stress–strain relationship has been obtained and verified through an example of application to a torsion problem.
3D stresses, Nonlinear shear, Objectivity, Tangential stiffness, Torsion, UD composites
Li, Shuguang
f99c53b3-e42e-456f-97df-4c4e06de4a40
Xu, Mingming
b1989557-3ad2-4fa9-8d94-a36c95524321
Yan, Shibo
b7d82b79-caf1-4e7c-90bd-1a8a70aef479
Sitnikova, Elena
e0c2f901-24fe-43d0-88e8-76f415675104
Li, Shuguang
f99c53b3-e42e-456f-97df-4c4e06de4a40
Xu, Mingming
b1989557-3ad2-4fa9-8d94-a36c95524321
Yan, Shibo
b7d82b79-caf1-4e7c-90bd-1a8a70aef479
Sitnikova, Elena
e0c2f901-24fe-43d0-88e8-76f415675104
Li, Shuguang, Xu, Mingming, Yan, Shibo and Sitnikova, Elena
(2021)
On the objectivity of the nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites.
Journal of Engineering Mathematics, 127 (1), [17].
(doi:10.1007/s10665-021-10098-3).
Abstract
The nonlinear along-fibre shear stress–strain relationship for unidirectionally fibre-reinforced composites has been investigated in this paper aiming at its applications in general 3D stress conditions in a consistent manner. So far, such relationship has only been addressed in plane stress conditions. In this paper, it has been shown that its straightforward generalisation to 3D stress states lacks objectivity, which is a basic requirement for all theoretical studies of physical problems. A new formulation is proposed based on the stress invariants and the complementary strain energy guided by the rational theoretical framework of nonlinear elasticity. A consistent and objective stress–strain relationship has been obtained and verified through an example of application to a torsion problem.
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Accepted/In Press date: 23 January 2021
e-pub ahead of print date: 14 March 2021
Additional Information:
Publisher Copyright:
© 2021, The Author(s).
Keywords:
3D stresses, Nonlinear shear, Objectivity, Tangential stiffness, Torsion, UD composites
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Local EPrints ID: 497750
URI: http://eprints.soton.ac.uk/id/eprint/497750
ISSN: 0022-0833
PURE UUID: e5642f4c-452c-4f81-b7b9-0f510f28e39e
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Date deposited: 30 Jan 2025 17:51
Last modified: 31 Jan 2025 03:15
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Contributors
Author:
Shuguang Li
Author:
Mingming Xu
Author:
Shibo Yan
Author:
Elena Sitnikova
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