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Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability

A. Singh, T. Mukhopadhyay, Sondipon Adhikari, B. Bhattacharya

International Journal of Solids and Structures, Volume: 208-209, Pages: 31 - 48

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.ijsolstr.2020.10.009

Abstract

Two-dimensional lattices are ideal candidate for developing artificially engineered materials and structures across different length-scales, leading to unprecedented multi-functional mechanical properties which can not be achieved in naturally occurring materials and systems. Characterization of eff...

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Published in: International Journal of Solids and Structures
ISSN: 0020-7683
Published: Elsevier BV 2021
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URI: https://cronfa.swan.ac.uk/Record/cronfa55552
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Characterization of effective elastic properties of these lattices is essential for their adoption as structural elements of various devices and systems. An enormous amount of research has been conducted on different geometry of lattices to identify and characterize various parameters which affect the elastic properties. However, till date we can not control the elastic properties actively for a lattice microstructure, meaning that the elastic properties of such lattices are not truly programmable. All the parameters that control the effective elastic properties are passive in nature. After manufacturing the lattice structure with a certain set of geometric or material-based parameters, there is no room to modulate the properties further. In this article, we propose a hybrid lattice micro-structure by integrating piezo-electric materials with the members of the lattice for active voltage-dependent modulation of elastic properties. A bottom-up multi-physics based analytical framework leading to closed-form formulae is derived for hexagonal lattices to demonstrate the concept of active lattices. It is noticed that the Young&#x2019;s moduli are voltage-dependent, while the shear modulus and the Poisson&#x2019;s ratios are not functions of the applied voltage. Thus, the compound mechanics of deformation induced by external mechanical stresses and electric field lead to an active control over the Young&#x2019;s moduli as a function of voltage. Interestingly, it turns out that a programmable state-transition of the Young&#x2019;s moduli from positive to negative values with a wide range can be achieved in such hybrid lattices. 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spelling 2020-12-03T16:18:43.1983441 v2 55552 2020-10-29 Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2020-10-29 FGSEN Two-dimensional lattices are ideal candidate for developing artificially engineered materials and structures across different length-scales, leading to unprecedented multi-functional mechanical properties which can not be achieved in naturally occurring materials and systems. Characterization of effective elastic properties of these lattices is essential for their adoption as structural elements of various devices and systems. An enormous amount of research has been conducted on different geometry of lattices to identify and characterize various parameters which affect the elastic properties. However, till date we can not control the elastic properties actively for a lattice microstructure, meaning that the elastic properties of such lattices are not truly programmable. All the parameters that control the effective elastic properties are passive in nature. After manufacturing the lattice structure with a certain set of geometric or material-based parameters, there is no room to modulate the properties further. In this article, we propose a hybrid lattice micro-structure by integrating piezo-electric materials with the members of the lattice for active voltage-dependent modulation of elastic properties. A bottom-up multi-physics based analytical framework leading to closed-form formulae is derived for hexagonal lattices to demonstrate the concept of active lattices. It is noticed that the Young’s moduli are voltage-dependent, while the shear modulus and the Poisson’s ratios are not functions of the applied voltage. Thus, the compound mechanics of deformation induced by external mechanical stresses and electric field lead to an active control over the Young’s moduli as a function of voltage. Interestingly, it turns out that a programmable state-transition of the Young’s moduli from positive to negative values with a wide range can be achieved in such hybrid lattices. The physics-based analytical framework for active modulation of voltage-dependent elastic properties on the basis of operational demands provide the necessary physical insights and confidence for potential practical exploitation of the proposed concept in various futuristic multi-functional structural systems and devices across different length-scales. Journal Article International Journal of Solids and Structures 208-209 31 48 Elsevier BV 0020-7683 Active honeycombs, Elastic properties of lattices, Negative Young’s modulus, Hybrid piezoelectric honeycomb, Multi-physical lattice microstructures 1 1 2021 2021-01-01 10.1016/j.ijsolstr.2020.10.009 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2020-12-03T16:18:43.1983441 2020-10-29T11:29:35.0895951 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised A. Singh 1 T. Mukhopadhyay 2 Sondipon Adhikari 3 B. Bhattacharya 4 55552__18534__7d732711677a4ea09ceff672aed3f3e4.pdf 55552.pdf 2020-10-29T14:46:41.6559346 Output 850703 application/pdf Accepted Manuscript true 2021-10-23T00:00:00.0000000 © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license true eng http://creativecommons.org/licenses/by-nc-nd/4.0/
title Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
spellingShingle Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
Sondipon Adhikari
title_short Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
title_full Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
title_fullStr Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
title_full_unstemmed Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
title_sort Voltage-dependent modulation of elastic moduli in lattice metamaterials: Emergence of a programmable state-transition capability
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 A. Singh
T. Mukhopadhyay
Sondipon Adhikari
B. Bhattacharya
format Journal article
container_title International Journal of Solids and Structures
container_volume 208-209
container_start_page 31
publishDate 2021
institution Swansea University
issn 0020-7683
doi_str_mv 10.1016/j.ijsolstr.2020.10.009
publisher Elsevier BV
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
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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 Two-dimensional lattices are ideal candidate for developing artificially engineered materials and structures across different length-scales, leading to unprecedented multi-functional mechanical properties which can not be achieved in naturally occurring materials and systems. Characterization of effective elastic properties of these lattices is essential for their adoption as structural elements of various devices and systems. An enormous amount of research has been conducted on different geometry of lattices to identify and characterize various parameters which affect the elastic properties. However, till date we can not control the elastic properties actively for a lattice microstructure, meaning that the elastic properties of such lattices are not truly programmable. All the parameters that control the effective elastic properties are passive in nature. After manufacturing the lattice structure with a certain set of geometric or material-based parameters, there is no room to modulate the properties further. In this article, we propose a hybrid lattice micro-structure by integrating piezo-electric materials with the members of the lattice for active voltage-dependent modulation of elastic properties. A bottom-up multi-physics based analytical framework leading to closed-form formulae is derived for hexagonal lattices to demonstrate the concept of active lattices. It is noticed that the Young’s moduli are voltage-dependent, while the shear modulus and the Poisson’s ratios are not functions of the applied voltage. Thus, the compound mechanics of deformation induced by external mechanical stresses and electric field lead to an active control over the Young’s moduli as a function of voltage. Interestingly, it turns out that a programmable state-transition of the Young’s moduli from positive to negative values with a wide range can be achieved in such hybrid lattices. The physics-based analytical framework for active modulation of voltage-dependent elastic properties on the basis of operational demands provide the necessary physical insights and confidence for potential practical exploitation of the proposed concept in various futuristic multi-functional structural systems and devices across different length-scales.
published_date 2021-01-01T04:09:51Z
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