Electromechanical macroscopic instabilities in soft dielectric elastomer composites with periodic microstructures

Goshkoderia, Artemii; Rudykh, Stephan

doi:10.1016/j.euromechsol.2017.04.008

Cited by 40 publications

(17 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Gei et al [83] have investigated both diffuse and shear-band type modes and Spinelli & Lopez-Pamies [84] examined the stability of laminated composites via the macroscopic strong ellipticity condition and the method of homogenization. The stability of dielectric composites with a periodic distribution of embedded circular or elliptically shaped particles was investigated by Goshkoderia & Rudykh [85]. Their stability analysis was performed numerically and enabled them to identify unstable domains.…”

Section: (D) the Incremental Methodsmentioning

confidence: 99%

Instabilities of soft dielectrics

Dorfmann

Ogden

2019

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

The basic modern theory of nonlinear electroelasticity and its use in the formulation of constitutive laws governing the behaviour of dielectric elastomer materials was summarized in a recent review article by Dorfmann & Ogden (Dorfmann & Ogden 2017 Proc. R. Soc. A 473 , 20170311 ( doi:10.1098/rspa.2017.0311 )). The theory is used, in particular, to analyse the behaviour of transducer devices such as actuators and sensors. Important considerations for the design and effective functioning of such devices are the issues of material and geometric instabilities. Following on from the above-cited work, the present paper provides a detailed account of the types of instabilities that arise for some of the geometries used in transducer devices and the theory that is adopted for the analysis of such instabilities. The theory is then used in two illustrative examples: (i) determination of instabilities of a thin electroelastic plate with flexible electrodes attached to its major surfaces, in particular comparison of the results for the so-called Hessian approach and a general incremental bifurcation analysis in respect of an equibiaxially stretched plate, with numerical results presented for a Gent electroelastic model; (ii) a general analysis of axi-symmetric bifurcation from a circular cylindrical configuration of a thin-walled tube of an electroelastic material with flexible electrodes on its curved surfaces, illustrated by numerical results for neo-Hookean and Gent electroelastic models. This article is part of the theme issue ‘Rivlin's legacy in continuum mechanics and applied mathematics’.

show abstract

Section: (D) the Incremental Methodsmentioning

confidence: 99%

Instabilities of soft dielectrics

Dorfmann

Ogden

2019

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

show abstract

“…We write the free energy density for the dielectric plate as Ω = Ω(F , E L ), where F is the deformation gradient and E L is the Lagrangian form of the electric field E: E L = F T E. We introduce the following complete set of invariants for an isotropic incompressible dielectric Ogden, 2005, 2006;Rudykh et al, 2014;Goshkoderia and Rudykh, 2017),…”

Section: Large Actuationmentioning

confidence: 99%

Wrinkles in soft dielectric plates

Broderick

Chen

et al. 2018

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

We show that a smooth giant voltage actuation of soft dielectric plates is not easily obtained in practice. In principle one can exploit, through predeformation, 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. Finally we make the link with the classical results of the Hessian electro-mechanical instability criterion and of Euler buckling for an elastic column.

show abstract

“…By resorting to numerical simulations, Rudykh et al [3] find a ten-fold improvement of the electro-mechanical coupling for a prototype rank-two laminate obtained by reinforcing an acrylic elastomer matrix with polyaniline. All these works completely neglect macro-and micro-scopic instabilities, that could be studied with the methods presented in [6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

A note on the solution of the electro-elastic boundary-value problem for rank-two laminates at finite strains

2019

View full text Add to dashboard Cite

Recent research has shown that hierarchical laminated composites can be profitably employed to improve the actuation performance of electricallyactivated soft dielectric transducers. This note focuses on two types of rank-two layouts composed of ideal dielectric phases which follow nonlinear hyper-elastic mechanical behaviour and aims at providing a simplified set of solving equations for voltage-controlled actuation. We obtain such equations by analytical manipulations allowing to partly uncouple the set of equations usually employed within this theoretical framework. By focusing on neo-Hookean hyperelasticity, we validate the proposed methodology with the results available in literature for one layout. For the other layout, we obtain new configurations by maximising the axial stretch. In both cases, we study the sensitivity of the optimal actuation stretch to changes of the parameters characterising the rank-two mesoand micro-structures. In average, the computational time required to reach a convergent solution with the new methodology is one order of magnitude lower than that necessary to solve the whole set of nonlinear coupled equations.

show abstract

Electromechanical macroscopic instabilities in soft dielectric elastomer composites with periodic microstructures

Cited by 40 publications

References 56 publications

Instabilities of soft dielectrics

Instabilities of soft dielectrics

Wrinkles in soft dielectric plates

A note on the solution of the electro-elastic boundary-value problem for rank-two laminates at finite strains

Contact Info

Product

Resources

About