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Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach

T. Mukhopadhyay, Sondipon Adhikari

International Journal of Solids and Structures, Volume: 91, Pages: 169 - 184

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 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...

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Published in: International Journal of Solids and Structures
ISSN: 0020-7683
Published: 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa25185
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last_indexed 2020-10-14T02:36:06Z
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spelling 2020-10-13T13:29:29.9981636 v2 25185 2015-12-18 Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2015-12-18 FGSEN 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. Journal Article International Journal of Solids and Structures 91 169 184 0020-7683 Irregular honeycomb; elastic moduli; cellular structure; random cell angle 31 8 2016 2016-08-31 10.1016/j.ijsolstr.2015.12.006 http://www.sciencedirect.com/science/article/pii/S0020768315004965 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-10-13T13:29:29.9981636 2015-12-18T16:22:06.0509915 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised T. Mukhopadhyay 1 Sondipon Adhikari 2 0025185-18122015162435.pdf Adhikari-s2.0-S0020768315004965-main.pdf 2015-12-18T16:24:35.0170000 Output 1236223 application/pdf Accepted Manuscript true 2016-12-17T00:00:00.0000000 true
title Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
spellingShingle Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
Sondipon Adhikari
title_short Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
title_full Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
title_fullStr Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
title_full_unstemmed Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
title_sort Equivalent in-plane elastic properties of irregular honeycombs: An analytical approach
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 T. Mukhopadhyay
Sondipon Adhikari
format Journal article
container_title International Journal of Solids and Structures
container_volume 91
container_start_page 169
publishDate 2016
institution Swansea University
issn 0020-7683
doi_str_mv 10.1016/j.ijsolstr.2015.12.006
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
url http://www.sciencedirect.com/science/article/pii/S0020768315004965
document_store_str 1
active_str 0
description 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.
published_date 2016-08-31T03:30:00Z
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score 11.012678

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