Effective in-plane elastic properties of auxetic honeycombs with spatial irregularity
Effective in-plane elastic properties of auxetic honeycombs with spatial irregularity
An analytical framework has been developed for predicting the equivalent in-plane elastic moduli (longitudinal and transverse Young's modulus, shear modulus, Poisson's ratios) of irregular auxetic honeycombs with spatially random variations in cell angles. Employing a bottom up multi-scale based approach, computationally efficient closed-form expressions have been derived in this article. This study also includes development of a highly generalized finite element code capable of accepting number of cells in two perpendicular directions, random structural geometry and material properties of irregular auxetic honeycomb and thereby obtaining five in-plane elastic moduli of the structure. The elastic moduli obtained for different degree of randomness following the analytical formulae have been compared with the results of direct finite element simulations and they are found to be in good agreement corroborating the validity and accuracy of the proposed approach. The transverse Young's modulus, shear modulus and Poisson's ratio for loading in transverse direction (effecting the auxetic property) have been found to be highly influenced by the structural irregularity in auxetic honeycombs.
Auxetic honeycomb, Cellular structure, Elastic moduli, Irregularity, Negative Poisson's ratio, Random cell angle
204-222
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
1 April 2016
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Mukhopadhyay, T. and Adhikari, S.
(2016)
Effective in-plane elastic properties of auxetic honeycombs with spatial irregularity.
Mechanics of Materials, 95, .
(doi:10.1016/j.mechmat.2016.01.009).
Abstract
An analytical framework has been developed for predicting the equivalent in-plane elastic moduli (longitudinal and transverse Young's modulus, shear modulus, Poisson's ratios) of irregular auxetic honeycombs with spatially random variations in cell angles. Employing a bottom up multi-scale based approach, computationally efficient closed-form expressions have been derived in this article. This study also includes development of a highly generalized finite element code capable of accepting number of cells in two perpendicular directions, random structural geometry and material properties of irregular auxetic honeycomb and thereby obtaining five in-plane elastic moduli of the structure. The elastic moduli obtained for different degree of randomness following the analytical formulae have been compared with the results of direct finite element simulations and they are found to be in good agreement corroborating the validity and accuracy of the proposed approach. The transverse Young's modulus, shear modulus and Poisson's ratio for loading in transverse direction (effecting the auxetic property) have been found to be highly influenced by the structural irregularity in auxetic honeycombs.
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Published date: 1 April 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. The authors also gratefully acknowledge the valuable comments of Prof. Fabrizio Scarpa (University of Bristol) on this work during preparation of the manuscript.
Publisher Copyright:
© 2016 Elsevier Ltd. All rights reserved.
Keywords:
Auxetic honeycomb, Cellular structure, Elastic moduli, Irregularity, Negative Poisson's ratio, Random cell angle
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Local EPrints ID: 483534
URI: http://eprints.soton.ac.uk/id/eprint/483534
ISSN: 0167-6636
PURE UUID: 0b5662cf-c2e5-4d3f-abe2-57938ce652d9
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Date deposited: 01 Nov 2023 17:56
Last modified: 18 Mar 2024 04:10
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Author:
T. Mukhopadhyay
Author:
S. Adhikari
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