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Anisotropy tailoring in geometrically isotropic multi-material lattices

T. Mukhopadhyay, S. Naskar, Sondipon Adhikari

Extreme Mechanics Letters, Volume: 40

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.eml.2020.100934

Abstract

This article proposes the concept of anisotropy tailoring in multi-material lattices based on a mechanics-based bottom-up framework. It is widely known that isotropy in a mono-material lattice can be obtained when the microstructure has an isotropic geometry. For example, regular hexagonal lattices...

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Published in: Extreme Mechanics Letters
ISSN: 2352-4316
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55155
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spelling 2020-10-05T16:04:28.8760595 v2 55155 2020-09-10 Anisotropy tailoring in geometrically isotropic multi-material lattices 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2020-09-10 FGSEN This article proposes the concept of anisotropy tailoring in multi-material lattices based on a mechanics-based bottom-up framework. It is widely known that isotropy in a mono-material lattice can be obtained when the microstructure has an isotropic geometry. For example, regular hexagonal lattices with a unit cell comprised of six equal members and equal internal angle of each, show isotropy in the elastic properties. Such limited microstructural configuration space for having isotropy severely restricts the scope of many multi-functional applications such as space filling in 3D printing. We first demonstrate that there are multiple structural geometries in mono-material lattices that could lead to isotropy. It is shown that the configuration space for isotropy can be expanded by multiple folds when more than one intrinsic material is introduced in the unit cell of a lattice. We explicitly demonstrate different degrees of anisotropy in regular geometrically isotropic lattices by introducing the multi-material architecture. The contours of achieving minimum anisotropy, maximum anisotropy and a fixed value of anisotropy are presented in the design space consisting of geometric and multi-material parameters. Proposition of such multi-material microstructures could essentially expand the multi-functional design scope significantly, offering a higher degree of flexibility to the designer in terms of choosing (or identifying) the most suitable microstructural geometry. An explicit theoretical characterization of the contours of anisotropy along with physical insights underpinning the configuration space of multi-material and geometric parameters will accelerate the process of its potential exploitation in various engineered multi-functional materials and structural systems across different length-scales with the demand of any specific degree of anisotropy but limitation in the micro-structural geometry. Journal Article Extreme Mechanics Letters 40 Elsevier BV 2352-4316 Anisotropy tailoring, Multi-material lattices, Elastic properties, Lattice materials, Honeycomb microstructures, Periodic structures 1 10 2020 2020-10-01 10.1016/j.eml.2020.100934 http://dx.doi.org/10.1016/j.eml.2020.100934 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-10-05T16:04:28.8760595 2020-09-10T09:16:47.8361699 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised T. Mukhopadhyay 1 S. Naskar 2 Sondipon Adhikari 3 55155__18135__93b1c5371a034c57846e53a997ecc6d8.pdf 55155.pdf 2020-09-10T09:19:04.9860189 Output 1194430 application/pdf Accepted Manuscript true 2021-09-09T00:00:00.0000000 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ false
title Anisotropy tailoring in geometrically isotropic multi-material lattices
spellingShingle Anisotropy tailoring in geometrically isotropic multi-material lattices
Sondipon Adhikari
title_short Anisotropy tailoring in geometrically isotropic multi-material lattices
title_full Anisotropy tailoring in geometrically isotropic multi-material lattices
title_fullStr Anisotropy tailoring in geometrically isotropic multi-material lattices
title_full_unstemmed Anisotropy tailoring in geometrically isotropic multi-material lattices
title_sort Anisotropy tailoring in geometrically isotropic multi-material lattices
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 T. Mukhopadhyay
S. Naskar
Sondipon Adhikari
format Journal article
container_title Extreme Mechanics Letters
container_volume 40
publishDate 2020
institution Swansea University
issn 2352-4316
doi_str_mv 10.1016/j.eml.2020.100934
publisher Elsevier BV
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://dx.doi.org/10.1016/j.eml.2020.100934
document_store_str 1
active_str 0
description This article proposes the concept of anisotropy tailoring in multi-material lattices based on a mechanics-based bottom-up framework. It is widely known that isotropy in a mono-material lattice can be obtained when the microstructure has an isotropic geometry. For example, regular hexagonal lattices with a unit cell comprised of six equal members and equal internal angle of each, show isotropy in the elastic properties. Such limited microstructural configuration space for having isotropy severely restricts the scope of many multi-functional applications such as space filling in 3D printing. We first demonstrate that there are multiple structural geometries in mono-material lattices that could lead to isotropy. It is shown that the configuration space for isotropy can be expanded by multiple folds when more than one intrinsic material is introduced in the unit cell of a lattice. We explicitly demonstrate different degrees of anisotropy in regular geometrically isotropic lattices by introducing the multi-material architecture. The contours of achieving minimum anisotropy, maximum anisotropy and a fixed value of anisotropy are presented in the design space consisting of geometric and multi-material parameters. Proposition of such multi-material microstructures could essentially expand the multi-functional design scope significantly, offering a higher degree of flexibility to the designer in terms of choosing (or identifying) the most suitable microstructural geometry. An explicit theoretical characterization of the contours of anisotropy along with physical insights underpinning the configuration space of multi-material and geometric parameters will accelerate the process of its potential exploitation in various engineered multi-functional materials and structural systems across different length-scales with the demand of any specific degree of anisotropy but limitation in the micro-structural geometry.
published_date 2020-10-01T04:09:10Z
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