Equivalent in-plane elastic properties of irregular honeycombs: an analytical approach
Equivalent in-plane elastic properties of irregular honeycombs: an analytical approach
An analytical formulation has been developed in this article for predicting the equivalent elastic properties of irregular honeycombs with spatially random variations in cell angles. Employing unit-cell based approaches, closed-form expressions of equivalent elastic properties of regular honeycombs are available. Closed-form expressions for equivalent elastic properties of irregular honeycombs are very scarce in available literature. In general, direct numerical simulation based methods are prevalent for this case. This paper proposes a novel analytical framework for predicting equivalent in-plane elastic moduli of irregular honeycombs using a representative unit cell element (RUCE) approach. Using this approach, closed-form expressions of equivalent in-plane elastic moduli (longitudinal and transverse Young's modulus, shear modulus, Poisson's ratios) have been derived. The expressions of longitudinal Young's modulus, transverse Young's modulus, and shear modulus are functions of both structural geometry and material properties of irregular honeycombs, while the Poisson's ratios depend only on structural geometry of irregular honeycombs. The elastic moduli obtained for different degree of randomness following the proposed analytical approach are found to have close proximity to direct finite element simulation results.
Cellular structure, Elastic moduli, Irregular honeycomb, Random cell angle
169-184
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
1 August 2016
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Mukhopadhyay, T. and Adhikari, S.
(2016)
Equivalent in-plane elastic properties of irregular honeycombs: an analytical approach.
International Journal of Solids and Structures, 91, .
(doi:10.1016/j.ijsolstr.2015.12.006).
Abstract
An analytical formulation has been developed in this article for predicting the equivalent elastic properties of irregular honeycombs with spatially random variations in cell angles. Employing unit-cell based approaches, closed-form expressions of equivalent elastic properties of regular honeycombs are available. Closed-form expressions for equivalent elastic properties of irregular honeycombs are very scarce in available literature. In general, direct numerical simulation based methods are prevalent for this case. This paper proposes a novel analytical framework for predicting equivalent in-plane elastic moduli of irregular honeycombs using a representative unit cell element (RUCE) approach. Using this approach, closed-form expressions of equivalent in-plane elastic moduli (longitudinal and transverse Young's modulus, shear modulus, Poisson's ratios) have been derived. The expressions of longitudinal Young's modulus, transverse Young's modulus, and shear modulus are functions of both structural geometry and material properties of irregular honeycombs, while the Poisson's ratios depend only on structural geometry of irregular honeycombs. The elastic moduli obtained for different degree of randomness following the proposed analytical approach are found to have close proximity to direct finite element simulation results.
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Published date: 1 August 2016
Additional Information:
Funding Information:
TM acknowledges the financial support from Swansea University through the award of Zienkiewicz Scholarship. SA acknowledges the financial support from The Royal Society of London through the Wolfson Research Merit award.
Publisher Copyright:
© 2015 Elsevier Ltd.
Keywords:
Cellular structure, Elastic moduli, Irregular honeycomb, Random cell angle
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Local EPrints ID: 483537
URI: http://eprints.soton.ac.uk/id/eprint/483537
ISSN: 0020-7683
PURE UUID: 903d82ba-954c-4ee9-a7ef-622b2cf9fb1a
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Date deposited: 01 Nov 2023 17:57
Last modified: 18 Mar 2024 04:10
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Author:
T. Mukhopadhyay
Author:
S. Adhikari
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