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dc.contributor.authorSu, Yipin
dc.contributor.authorConroy Broderick, Hannah
dc.contributor.authorChen, Weiqiu
dc.contributor.authorDestrade, Michel
dc.date.accessioned2019-06-04T14:49:23Z
dc.date.issued2018-07-04
dc.identifier.citationSu, Yipin, Conroy Broderick, Hannah, Chen, Weiqiu, & Destrade, Michel. (2018). Wrinkles in soft dielectric plates. Journal of the Mechanics and Physics of Solids, 119, 298-318. doi: https://doi.org/10.1016/j.jmps.2018.07.001en_IE
dc.identifier.issn0022-5096
dc.identifier.urihttp://hdl.handle.net/10379/15207
dc.description.abstractWe show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through pre-deformation, the snap-through behavior of their loading curve to deliver a large stretch prior to electric breakdown. However, we demonstrate here that even in this favorable scenario, the soft dielectric is likely to first encounter the plate wrinkling phenomenon, as modeled by the onset of small amplitude sinusoidal perturbations on its faces. We provide an explicit treatment of this incremental boundary value problem. We also derive closed-form expressions for the two limit cases of very thin membranes (with vanishing thickness) and of thick plates (with thickness comparable to or greater than the wavelength of the perturbation). We treat explicitly examples of ideal dielectric free energy functions (where the mechanical part is of the neo-Hookean, Mooney-Rivlin or Gent form) and of dielectrics exhibiting polarization saturation. In addition to the expected buckling mode coming from the purely elastic case, we discover a second mode occurring at large voltages in extension. We find that plates always wrinkle anti-symmetrically, before the symmetric modes can be reached. Finally, we make the link with the classical results of the Hessian electro-mechanical instability criterion and of Euler buckling for an elastic column. (C) 2018 Elsevier Ltd. All rights reserved.en_IE
dc.description.sponsorshipThis work was supported by a visiting student scholarship for International Collaborative Research from Zhejiang University, a Government of Ireland Postgraduate Scholarship from the Irish Research Council, a Government of Ireland Postdoctoral Fellowship from the Irish Research Council, and the National Natural Science Foundation of China (No. 11621062). We thank the reviewers and the editor for raising insightful remarks on a previous version of the paper. We are grateful to Yibin Fu (Keele), Ray Ogden (Glasgow) and Giuseppe Zurlo (Galway) for fruitful discussions.en_IE
dc.formatapplication/pdfen_IE
dc.language.isoenen_IE
dc.publisherElsevieren_IE
dc.relation.ispartofJournal Of The Mechanics And Physics Of Solidsen
dc.subjectDielectric platesen_IE
dc.subjectLarge actuationen_IE
dc.subjectSnap-throughen_IE
dc.subjectWrinkling instabilityen_IE
dc.subjectSNAP-THROUGH INSTABILITYen_IE
dc.subjectPOLARIZATIONen_IE
dc.subjectELASTOMERSen_IE
dc.subjectACTUATIONen_IE
dc.subjectSTABILITYen_IE
dc.subjectSTRAINen_IE
dc.titleWrinkles in soft dielectric platesen_IE
dc.typeArticleen_IE
dc.date.updated2019-05-29T16:17:13Z
dc.identifier.doi10.1016/j.jmps.2018.07.001
dc.local.publishedsourcehttps://doi.org/10.1016/j.jmps.2018.07.001en_IE
dc.description.peer-reviewedpeer-reviewed
dc.contributor.funderZhejiang Universityen_IE
dc.contributor.funderIrish Research Councilen_IE
dc.contributor.funderNational Natural Science Foundation of Chinaen_IE
dc.description.embargo2020-07-04
dc.internal.rssid15865620
dc.local.contactMichel Destrade, Room Adb-1002, Áras De Brun, School Of Mathematics, Nui Galway. 2344 Email: michel.destrade@nuigalway.ie
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