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Finite deformation analysis of flexoelectric shells

Farzam Dadgar-Rad, Shahab Sahraee, Mokarram Hossain Orcid Logo, Stefan Hartmann Orcid Logo

Computer Methods in Applied Mechanics and Engineering, Volume: 447, Start page: 118384

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1016/j.cma.2025.118384

Abstract

In this work, a nonlinear shell model for the coupled mechanical and electrical analysis of thinflexoelectric polymers is developed. In addition to the classical terms, contributions from thesecond gradient of deformation, electro-mechanical coupling and flexoelectricity are incorporatedinto the fre...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: Elsevier BV 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70379
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spelling 2025-10-24T15:45:49.3277491 v2 70379 2025-09-18 Finite deformation analysis of flexoelectric shells 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2025-09-18 ACEM In this work, a nonlinear shell model for the coupled mechanical and electrical analysis of thinflexoelectric polymers is developed. In addition to the classical terms, contributions from thesecond gradient of deformation, electro-mechanical coupling and flexoelectricity are incorporatedinto the free energy density of these materials. Furthermore, starting from a variationalframework, a nonlinear finite element formulation in the material setting is developed toprovide numerical solutions for various problems. By neglecting the electrical and flexoelectriceffects, the present formulation can reflect the deformation of purely mechanical gradient shells.Conversely, by disregarding the gradient and flexoelectric effects, the present formulation isgreatly capable of modeling the deformation of electro-active shells. The midsurface displacementand director difference vectors are interpolated using 1 shape functions, while 0-continuous interpolation functions are used for the thickness stretching and voltage parameters.Several numerical examples are solved to evaluate performance and robustness of the proposedformulation. The results show that the present formulation yields excellent agreement withthose available in the literature. Moreover, the proposed formulation effectively captures theflexoelectric response of both initially flat and initially curved thin structures experiencing finitedeformations. Journal Article Computer Methods in Applied Mechanics and Engineering 447 118384 Elsevier BV 0045-7825 Flexoelectricity; Shell; Soft dielectric; Finite deformation; Finite element method 1 12 2025 2025-12-01 10.1016/j.cma.2025.118384 COLLEGE NANME Aerospace, Civil, Electrical, and Mechanical Engineering COLLEGE CODE ACEM Swansea University 2025-10-24T15:45:49.3277491 2025-09-18T08:53:53.8270044 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering Farzam Dadgar-Rad 1 Shahab Sahraee 2 Mokarram Hossain 0000-0002-4616-1104 3 Stefan Hartmann 0000-0003-1849-0784 4 70379__35116__5789e0c27110430c81045a38411c2730.pdf 70379.pdf 2025-09-18T08:56:32.4003692 Output 863941 application/pdf Accepted Manuscript true Author accepted manuscript document released under the terms of a Creative Commons CC-BY licence using the Swansea University Research Publications Policy (rights retention). true eng https://creativecommons.org/licenses/by/4.0/deed.en
title Finite deformation analysis of flexoelectric shells
spellingShingle Finite deformation analysis of flexoelectric shells
Mokarram Hossain
title_short Finite deformation analysis of flexoelectric shells
title_full Finite deformation analysis of flexoelectric shells
title_fullStr Finite deformation analysis of flexoelectric shells
title_full_unstemmed Finite deformation analysis of flexoelectric shells
title_sort Finite deformation analysis of flexoelectric shells
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Farzam Dadgar-Rad
Shahab Sahraee
Mokarram Hossain
Stefan Hartmann
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 447
container_start_page 118384
publishDate 2025
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2025.118384
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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
active_str 0
description In this work, a nonlinear shell model for the coupled mechanical and electrical analysis of thinflexoelectric polymers is developed. In addition to the classical terms, contributions from thesecond gradient of deformation, electro-mechanical coupling and flexoelectricity are incorporatedinto the free energy density of these materials. Furthermore, starting from a variationalframework, a nonlinear finite element formulation in the material setting is developed toprovide numerical solutions for various problems. By neglecting the electrical and flexoelectriceffects, the present formulation can reflect the deformation of purely mechanical gradient shells.Conversely, by disregarding the gradient and flexoelectric effects, the present formulation isgreatly capable of modeling the deformation of electro-active shells. The midsurface displacementand director difference vectors are interpolated using 1 shape functions, while 0-continuous interpolation functions are used for the thickness stretching and voltage parameters.Several numerical examples are solved to evaluate performance and robustness of the proposedformulation. The results show that the present formulation yields excellent agreement withthose available in the literature. Moreover, the proposed formulation effectively captures theflexoelectric response of both initially flat and initially curved thin structures experiencing finitedeformations.
published_date 2025-12-01T06:49:29Z
_version_ 1851284174009270272
score 11.089469

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