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Robust topological designs for extreme metamaterial micro-structures

Tanmoy Chatterjee, Souvik Chakraborty, Somdatta Goswami, Sondipon Adhikari, Michael Friswell

Scientific Reports, Volume: 11, Issue: 1

Swansea University Authors: Tanmoy Chatterjee, Sondipon Adhikari, Michael Friswell

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DOI (Published version): 10.1038/s41598-021-94520-x

Abstract

We demonstrate that the consideration of material uncertainty can dramatically impact the optimal topological micro-structural configuration of mechanical metamaterials. The robust optimization problem is formulated in such a way that it facilitates the emergence of extreme mechanical properties of...

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Published in: Scientific Reports
ISSN: 2045-2322
Published: Springer Science and Business Media LLC 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa57411
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spelling 2022-07-08T11:49:54.5865051 v2 57411 2021-07-16 Robust topological designs for extreme metamaterial micro-structures 5e637da3a34c6e97e2b744c2120db04d Tanmoy Chatterjee Tanmoy Chatterjee true false 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 5894777b8f9c6e64bde3568d68078d40 Michael Friswell Michael Friswell true false 2021-07-16 FGSEN We demonstrate that the consideration of material uncertainty can dramatically impact the optimal topological micro-structural configuration of mechanical metamaterials. The robust optimization problem is formulated in such a way that it facilitates the emergence of extreme mechanical properties of metamaterials. The algorithm is based on the bi-directional evolutionary topology optimization and energy-based homogenization approach. To simulate additive manufacturing uncertainty, combinations of spatial variation of the elastic modulus and/or, parametric variation of the Poisson’s ratio at the unit cell level are considered. Computationally parallel Monte Carlo simulations are performed to quantify the effect of input material uncertainty to the mechanical properties of interest. Results are shown for four configurations of extreme mechanical properties: (1) maximum bulk modulus (2) maximum shear modulus (3) minimum negative Poisson’s ratio (auxetic metamaterial) and (4) maximum equivalent elastic modulus. The study illustrates the importance of considering uncertainty for topology optimization of metamaterials with extreme mechanical performance. The results reveal that robust design leads to improvement in terms of (1) optimal mean performance (2) least sensitive design, and (3) elastic properties of the metamaterials compared to the corresponding deterministic design. Many interesting topological patterns have been obtained for guiding the extreme material robust design. Journal Article Scientific Reports 11 1 Springer Science and Business Media LLC 2045-2322 27 7 2021 2021-07-27 10.1038/s41598-021-94520-x COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) UKRI EP/R006768/1 2022-07-08T11:49:54.5865051 2021-07-16T17:03:12.4767452 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Tanmoy Chatterjee 1 Souvik Chakraborty 2 Somdatta Goswami 3 Sondipon Adhikari 4 Michael Friswell 5 57411__20616__263eda6a4cc34670a9f86686f09d621f.pdf 57411.pdf 2021-08-13T10:09:28.0835491 Output 4790288 application/pdf Version of Record true © The Author(s) 2021. Tis article is licensed under a Creative Commons Attribution 4.0 International License true eng http://creativecommons.org/licenses/by/4.0/
title Robust topological designs for extreme metamaterial micro-structures
spellingShingle Robust topological designs for extreme metamaterial micro-structures
Tanmoy Chatterjee
Sondipon Adhikari
Michael Friswell
title_short Robust topological designs for extreme metamaterial micro-structures
title_full Robust topological designs for extreme metamaterial micro-structures
title_fullStr Robust topological designs for extreme metamaterial micro-structures
title_full_unstemmed Robust topological designs for extreme metamaterial micro-structures
title_sort Robust topological designs for extreme metamaterial micro-structures
author_id_str_mv 5e637da3a34c6e97e2b744c2120db04d
4ea84d67c4e414f5ccbd7593a40f04d3
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author_id_fullname_str_mv 5e637da3a34c6e97e2b744c2120db04d_***_Tanmoy Chatterjee
4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
5894777b8f9c6e64bde3568d68078d40_***_Michael Friswell
author Tanmoy Chatterjee
Sondipon Adhikari
Michael Friswell
author2 Tanmoy Chatterjee
Souvik Chakraborty
Somdatta Goswami
Sondipon Adhikari
Michael Friswell
format Journal article
container_title Scientific Reports
container_volume 11
container_issue 1
publishDate 2021
institution Swansea University
issn 2045-2322
doi_str_mv 10.1038/s41598-021-94520-x
publisher Springer Science and Business Media LLC
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
document_store_str 1
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description We demonstrate that the consideration of material uncertainty can dramatically impact the optimal topological micro-structural configuration of mechanical metamaterials. The robust optimization problem is formulated in such a way that it facilitates the emergence of extreme mechanical properties of metamaterials. The algorithm is based on the bi-directional evolutionary topology optimization and energy-based homogenization approach. To simulate additive manufacturing uncertainty, combinations of spatial variation of the elastic modulus and/or, parametric variation of the Poisson’s ratio at the unit cell level are considered. Computationally parallel Monte Carlo simulations are performed to quantify the effect of input material uncertainty to the mechanical properties of interest. Results are shown for four configurations of extreme mechanical properties: (1) maximum bulk modulus (2) maximum shear modulus (3) minimum negative Poisson’s ratio (auxetic metamaterial) and (4) maximum equivalent elastic modulus. The study illustrates the importance of considering uncertainty for topology optimization of metamaterials with extreme mechanical performance. The results reveal that robust design leads to improvement in terms of (1) optimal mean performance (2) least sensitive design, and (3) elastic properties of the metamaterials compared to the corresponding deterministic design. Many interesting topological patterns have been obtained for guiding the extreme material robust design.
published_date 2021-07-27T04:13:08Z
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