Kostas P. Soldatos
Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures
Soldatos, Kostas P.; Aydogdu, Metin; Gul, Ufuk
Authors
Metin Aydogdu
Ufuk Gul
Abstract
This study investigates the flexural response of a linearly elastic rectangular strip reinforced in a functionally graded manner by a single family of straight fibres resistant in bending. Fibre bending resistance is associated with the thickness of fibres which, in turn, is considered measurable through use of some intrinsic material length parameter involved in the definition of a corresponding elastic modulus. Solution of the relevant set of governing differential equations is achieved computationally, with the use of a well-established semi-analytical mathematical method. A connection of this solution with its homogeneous fibre-reinforced material counterpart enables the corresponding homogeneous fibrous composite to be regarded as a source of a set of equivalent functionally graded structures, each one of which is formed through inhomogeneous redistribution of the same volume of fibres within the same matrix material. A subsequent stress and couple-stress analysis provides details of the manner in which the flexural response of the polar structural component of interest is affected by certain types of inhomogeneous fibre distribution.
Citation
Soldatos, K. P., Aydogdu, M., & Gul, U. (2019). Plane Strain Polar Elasticity Of Fibre-Reinforced Functionally Graded Materials and Structures. Journal of Mechanics of Materials and Structures, 14(4), 497-535. https://doi.org/10.2140/jomms.2019.14.497
Journal Article Type | Article |
---|---|
Acceptance Date | Sep 30, 2019 |
Online Publication Date | Dec 13, 2019 |
Publication Date | Dec 13, 2019 |
Deposit Date | Oct 2, 2019 |
Publicly Available Date | Dec 13, 2019 |
Journal | Journal of Mechanics of Materials and Structures |
Electronic ISSN | 1559-3959 |
Publisher | Mathematical Sciences Publishers |
Peer Reviewed | Peer Reviewed |
Volume | 14 |
Issue | 4 |
Pages | 497-535 |
DOI | https://doi.org/10.2140/jomms.2019.14.497 |
Keywords | Cylindrical bending, Elastic beams, Elastic plates, Fibre bending stiffness, Fibre-reinforced structures, Functionally graded structures, Plane strain elasticity, Polar elasticity |
Public URL | https://nottingham-repository.worktribe.com/output/2735934 |
Publisher URL | https://msp.org/jomms/2019/14-4/p04.xhtml |
Contract Date | Oct 2, 2019 |
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