dc.contributor.author | Su, Yipin | |
dc.contributor.author | Chen, Weiqiu | |
dc.contributor.author | Dorfmann, Luis | |
dc.contributor.author | Destrade, Michel | |
dc.date.accessioned | 2020-12-07T09:58:30Z | |
dc.date.available | 2020-12-07T09:58:30Z | |
dc.date.issued | 2020-07-29 | |
dc.identifier.citation | Su, Yipin, Chen, Weiqiu, Dorfmann, Luis, & Destrade, Michel. (2020). The effect of an exterior electric field on the instability of dielectric plates. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 476(2239), doi:doi:10.1098/rspa.2020.0267 | en_IE |
dc.identifier.issn | 1471-2946 | |
dc.identifier.uri | http://hdl.handle.net/10379/16366 | |
dc.description.abstract | We investigate the theoretical nonlinear response, Hessian stability, and possible wrinkling behaviour of a voltage-activated dielectric plate immersed in a tank filled with silicone oil. Fixed rigid electrodes are placed on the top and bottom of the tank, and an electric field is generated by a potential difference between the electrodes. We solve the associated incremental boundary value problem of superimposed, inhomogeneous small-amplitude wrinkles, signalling the onset of instability. We decouple the resulting bifurcation equation into symmetric and antisymmetric modes. For a neo-Hookean dielectric plate, we show that a potential difference between the electrodes can induce a thinning of the plate and thus an increase of its planar area, similar to the scenarios encountered when there is no silicone oil. However, we also find that, depending on the material and geometric parameters, an increasing applied voltage can also lead to athickeningof the plate, and thus a shrinking of its area. In that scenario, Hessian instability and wrinkling bifurcation may then occur spontaneously once some critical voltages are reached. | en_IE |
dc.description.sponsorship | This work was supported by a Government of Ireland Postdoctoral Fellowship from the Irish Research Council (No. GOIPD/2017/1208) and by the
National Natural Science Foundation of China (No. 11621062). WQC and
YPS also acknowledge the support from the Shenzhen Scientific and Technological Fund for R&D (No. JCYJ20170816172316775).
MD thanks Zhejiang University for funding research visits to Hangzhou. | en_IE |
dc.format | application/pdf | en_IE |
dc.language.iso | en | en_IE |
dc.publisher | The Royal Society | en_IE |
dc.relation.ispartof | Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences | en |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Ireland | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ | |
dc.subject | nonlinear electro-elasticity | en_IE |
dc.subject | electro-elastic plate instability | en_IE |
dc.subject | exterior electric field | en_IE |
dc.subject | Stroh method | en_IE |
dc.subject | WAVES | en_IE |
dc.subject | ACTUATORS | en_IE |
dc.title | The effect of an exterior electric field on the instability of dielectric plates | en_IE |
dc.type | Article | en_IE |
dc.date.updated | 2020-12-05T19:07:28Z | |
dc.identifier.doi | 10.1098/rspa.2020.0267 | |
dc.local.publishedsource | https://doi.org/10.1098/rspa.2020.0267 | en_IE |
dc.description.peer-reviewed | peer-reviewed | |
dc.contributor.funder | Irish Research Council | en_IE |
dc.contributor.funder | National Natural Science Foundation of China | en_IE |
dc.contributor.funder | Shenzhen Scientific and Technological Fund | en_IE |
dc.contributor.funder | Zhejiang University | en_IE |
dc.internal.rssid | 22653551 | |
dc.local.contact | Michel Destrade, Room Adb-1002, Áras De Brun, School Of Mathematics, Nui Galway. 2344 Email: michel.destrade@nuigalway.ie | |
dc.local.copyrightchecked | Yes | |
dc.local.version | ACCEPTED | |
nui.item.downloads | 84 | |