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dc.contributor.authorSu, Yipin
dc.contributor.authorWu, Bin
dc.contributor.authorChen, Weiqiu
dc.contributor.authorDestrade, Michel
dc.identifier.citationSu, Yipin, Wu, Bin, Chen, Weiqiu, & Destrade, Michel. (2019). Finite bending and pattern evolution of the associated instability for a dielectric elastomer slab. International Journal of Solids and Structures, 158, 191-209. doi:
dc.description.abstractWe investigate the finite bending and the associated bending instability of an incompressible dielectric slab subject to a combination of applied voltage and axial compression, using nonlinear electro-elasticity theory and its incremental version. We first study the static finite bending deformation of the slab. We then derive the three-dimensional equations for the onset of small-amplitude wrinkles superimposed upon the finite bending. We use the surface impedance matrix method to build a robust numerical procedure for solving the resulting dispersion equations and determining the wrinkled shape of the slab at the onset of buckling. Our analysis is valid for dielectrics modeled by a general free energy function. We then present illustrative numerical calculations for ideal neo-Hookean dielectrics. In that case, we provide an explicit treatment of the boundary value problem of the finite bending and derive closed-form expressions for the stresses and electric field in the body. For the incremental deformations, we validate our analysis by recovering existing results in more specialized contexts. We show that the applied voltage has a destabilizing effect on the bending instability of the slab, while the effect of the axial load is more complex: when the voltage is applied, changing the axial loading will influence the true electric field in the body, and induce competitive effects between the circumferential instability due to the voltage and the axial instability due to the axial compression. We even find circumstances where both instabilities cohabit to create two-dimensional patterns on the inner face of the bent sector. (C) 2018 Elsevier Ltd. All rights reserved.en_IE
dc.description.sponsorshipThis work was supported by a Government of Ireland Postdoctoral Fellowship from the Irish Research Council (no. GOIPG/2016/712) and by the National Natural Science Foundation of China (no. 11621062). MD thanks Zhejiang University for funding a research visit to Hangzhou. WQC and YPS also acknowledge the support from the Shenzhen Scientific and Technological Fund for R&D (no. JCYJ20170816172316775).en_IE
dc.relation.ispartofInternational Journal Of Solids And Structuresen
dc.subjectFinite bendingen_IE
dc.subjectBending instabilityen_IE
dc.subjectSurface impedance matrix methoden_IE
dc.subjectTwo-dimensional wrinklesen_IE
dc.titleFinite bending and pattern evolution of the associated instability for a dielectric elastomer slaben_IE
dc.contributor.funderIrish Research Councilen_IE
dc.contributor.funderNational Natural Science Foundation of Chinaen_IE
dc.contributor.funderZhejiang Universityen_IE
dc.contributor.funderShenzhen Scientific and Technological Funden_IE
dc.local.contactMichel Destrade, Room Adb-1002, Áras De Brun, School Of Mathematics, Nui Galway. 2344 Email:

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