Journal article 130 views 18 downloads
Finite deformation analysis of flexoelectric shells
,
Stefan Hartmann
Computer Methods in Applied Mechanics and Engineering, Volume: 447, Start page: 118384
Swansea University Author:
Mokarram Hossain
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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...
| Published in: | Computer Methods in Applied Mechanics and Engineering |
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| ISSN: | 0045-7825 |
| Published: |
Elsevier BV
2025
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| Online Access: |
Check full text
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa70379 |
| 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 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. |
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| Keywords: |
Flexoelectricity; Shell; Soft dielectric; Finite deformation; Finite element method |
| College: |
Faculty of Science and Engineering |
| Start Page: |
118384 |