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Stochastic mechanics of metamaterials

T. Mukhopadhyay, S. Adhikari, Sondipon Adhikari Orcid Logo

Composite Structures, Volume: 162, Pages: 85 - 97

Swansea University Author: Sondipon Adhikari Orcid Logo

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DOI (Published version): 10.1016/j.compstruct.2016.11.080

Abstract

The effect of stochasticity in mechanical behaviour of metamaterials is quantified in a probabilistic framework. The stochasticity has been accounted in the form of random material distribution and structural irregularity, which are often encountered due to manufacturing and operational uncertaintie...

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Published in: Composite Structures
ISSN: 0263-8223
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa31340
first_indexed 2016-11-30T14:27:01Z
last_indexed 2018-02-09T05:18:08Z
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spelling 2017-03-01T11:58:31.3838075 v2 31340 2016-11-30 Stochastic mechanics of metamaterials 4ea84d67c4e414f5ccbd7593a40f04d3 0000-0003-4181-3457 Sondipon Adhikari Sondipon Adhikari true false 2016-11-30 ACEM The effect of stochasticity in mechanical behaviour of metamaterials is quantified in a probabilistic framework. The stochasticity has been accounted in the form of random material distribution and structural irregularity, which are often encountered due to manufacturing and operational uncertainties. An analytical framework has been developed for analysing the effective stochastic in-plane elastic properties of irregular hexagonal structural forms with spatially random variations of cell angles and intrinsic material properties. Probabilistic distributions of the in-plane elastic moduli have been presented considering both randomly homogeneous and randomly inhomogeneous stochasticity in the system, followed by an insightful comparative discussion. The ergodic behaviour in spatially irregular lattices is investigated as a part of this study. It is found that the effect of random micro-structural variability in structural and material distribution has considerable influence on mechanical behaviour of metamaterials. Journal Article Composite Structures 162 85 97 0263-8223 15 2 2017 2017-02-15 10.1016/j.compstruct.2016.11.080 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2017-03-01T11:58:31.3838075 2016-11-30T11:16:55.2569513 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised T. Mukhopadhyay 1 S. Adhikari 2 Sondipon Adhikari 0000-0003-4181-3457 3 0031340-30112016111806.pdf mukhopadhyay2016(2).pdf 2016-11-30T11:18:06.8770000 Output 2621173 application/pdf Accepted Manuscript true 2017-11-30T00:00:00.0000000 false
title Stochastic mechanics of metamaterials
spellingShingle Stochastic mechanics of metamaterials
Sondipon Adhikari
title_short Stochastic mechanics of metamaterials
title_full Stochastic mechanics of metamaterials
title_fullStr Stochastic mechanics of metamaterials
title_full_unstemmed Stochastic mechanics of metamaterials
title_sort Stochastic mechanics of metamaterials
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 T. Mukhopadhyay
S. Adhikari
Sondipon Adhikari
format Journal article
container_title Composite Structures
container_volume 162
container_start_page 85
publishDate 2017
institution Swansea University
issn 0263-8223
doi_str_mv 10.1016/j.compstruct.2016.11.080
college_str Faculty of Science and Engineering
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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
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description The effect of stochasticity in mechanical behaviour of metamaterials is quantified in a probabilistic framework. The stochasticity has been accounted in the form of random material distribution and structural irregularity, which are often encountered due to manufacturing and operational uncertainties. An analytical framework has been developed for analysing the effective stochastic in-plane elastic properties of irregular hexagonal structural forms with spatially random variations of cell angles and intrinsic material properties. Probabilistic distributions of the in-plane elastic moduli have been presented considering both randomly homogeneous and randomly inhomogeneous stochasticity in the system, followed by an insightful comparative discussion. The ergodic behaviour in spatially irregular lattices is investigated as a part of this study. It is found that the effect of random micro-structural variability in structural and material distribution has considerable influence on mechanical behaviour of metamaterials.
published_date 2017-02-15T19:09:17Z
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