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A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach

R. Ortigosa Orcid Logo, J. Martínez-Frutos Orcid Logo, Antonio Gil Orcid Logo

Computer Methods in Applied Mechanics and Engineering, Volume: 401, Start page: 115604

Swansea University Author: Antonio Gil Orcid Logo

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DOI (Published version): 10.1016/j.cma.2022.115604

Abstract

This paper presents a novel in-silico framework for the design of flexoelectric energy harvesters at finite strains using topology optimisation. The main ingredients of this work can be summarised as follows: (i) a micromorphic continuum approach is exploited to account for size dependent effects in...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825 1879-2138
Published: Elsevier BV 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa60887
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spelling 2022-10-27T12:29:49.5751088 v2 60887 2022-08-25 A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach 1f5666865d1c6de9469f8b7d0d6d30e2 0000-0001-7753-1414 Antonio Gil Antonio Gil true false 2022-08-25 CIVL This paper presents a novel in-silico framework for the design of flexoelectric energy harvesters at finite strains using topology optimisation. The main ingredients of this work can be summarised as follows: (i) a micromorphic continuum approach is exploited to account for size dependent effects in the context of finite strains, thus permitting the modelling and simulation of flexoelectric effects in highly deformable materias such as dielectric elastomers. A key feature of the multi-field (mixed) formulation pursued is its flexibility as it permits, upon suitable selection of material parameters, to degenerate into other families of high order gradient theories such as flexoelectric gradientelasticity. (ii) A novel energy interpolation scheme is put forward, whereby different interpolation strategies are proposed for the various contributions that the free energy density function is decomposed into. This has enabled to circumvent numerical artifacts associated with fictitious high flexoelectric effects observed in the vicinity of low and intermediate density regions, where extremely high strain gradients tend to develop. (iii) A weighted combination of efficiency-based measures and aggregation functions of the stress is proposed to remedy the shortcomings ofstate-of-the-art efficiency-based functionals, which promotes the development of hinges with unpractical highly localised large strain gradients. Finally, a series of numerical examples are analysed, studying the development of direct flexoelectricity induced by bending, compression and torsional deformations. Journal Article Computer Methods in Applied Mechanics and Engineering 401 115604 Elsevier BV 0045-7825 1879-2138 Flexoelectricity; Topology Optimisation; Dielectric Elastomer; Micromorphic Elasticity; EnergyHarvesters; Mixed Finite Elements 1 11 2022 2022-11-01 10.1016/j.cma.2022.115604 http://dx.doi.org/10.1016/j.cma.2022.115604 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University SU Library paid the OA fee (TA Institutional Deal) 21132/SF/19, Fundación Séneca, Región de Murcia (Spain), through the program Saavedra Fajardo, Fundación Séneca (Murcia, Spain) through grant 20911/PI/18, PID2021-125687OA-I00, European Training Network Protection (Project ID: 764636). 2022-10-27T12:29:49.5751088 2022-08-25T13:59:35.3321555 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering R. Ortigosa 0000-0002-4542-2237 1 J. Martínez-Frutos 0000-0002-7112-3345 2 Antonio Gil 0000-0001-7753-1414 3 60887__25597__2b4eb42b99b544009ec64bf8b9927917.pdf 60887.VOR.pdf 2022-10-27T12:27:01.6299973 Output 3333584 application/pdf Version of Record true Distributed under the terms of a Creative Commons Attribution 4.0 Licence. true eng http://creativecommons.org/licenses/by/4.0/
title A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
spellingShingle A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
Antonio Gil
title_short A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
title_full A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
title_fullStr A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
title_full_unstemmed A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
title_sort A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach
author_id_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2
author_id_fullname_str_mv 1f5666865d1c6de9469f8b7d0d6d30e2_***_Antonio Gil
author Antonio Gil
author2 R. Ortigosa
J. Martínez-Frutos
Antonio Gil
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 401
container_start_page 115604
publishDate 2022
institution Swansea University
issn 0045-7825
1879-2138
doi_str_mv 10.1016/j.cma.2022.115604
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
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
url http://dx.doi.org/10.1016/j.cma.2022.115604
document_store_str 1
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description This paper presents a novel in-silico framework for the design of flexoelectric energy harvesters at finite strains using topology optimisation. The main ingredients of this work can be summarised as follows: (i) a micromorphic continuum approach is exploited to account for size dependent effects in the context of finite strains, thus permitting the modelling and simulation of flexoelectric effects in highly deformable materias such as dielectric elastomers. A key feature of the multi-field (mixed) formulation pursued is its flexibility as it permits, upon suitable selection of material parameters, to degenerate into other families of high order gradient theories such as flexoelectric gradientelasticity. (ii) A novel energy interpolation scheme is put forward, whereby different interpolation strategies are proposed for the various contributions that the free energy density function is decomposed into. This has enabled to circumvent numerical artifacts associated with fictitious high flexoelectric effects observed in the vicinity of low and intermediate density regions, where extremely high strain gradients tend to develop. (iii) A weighted combination of efficiency-based measures and aggregation functions of the stress is proposed to remedy the shortcomings ofstate-of-the-art efficiency-based functionals, which promotes the development of hinges with unpractical highly localised large strain gradients. Finally, a series of numerical examples are analysed, studying the development of direct flexoelectricity induced by bending, compression and torsional deformations.
published_date 2022-11-01T04:19:22Z
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