On electromechanical stability of dielectric elastomers

Díaz‐Calleja, Ricardo; Riande, Evaristo; Sanchı́s, M. J.

doi:10.1063/1.2972124

Cited by 83 publications

(58 citation statements)

References 4 publications

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“…Electromechanical instability has been recognized as a mode of failure for dielectric elastomers subject to increasing voltage (Stark & Garton 1955;Plante & Dubowsky 2006), which limits the amount of energy conversion by dielectric elastomers in practical applications Diaz-Calleja et al 2008;Koh et al 2009Koh et al , 2011Leng et al 2009;Tommasi et al 2010;Xu et al 2010). In particular, an experimental manifestation of the electromechanical instability was reported by Plante & Dubowsky (2006): under a particular voltage, a prestretched dielectric elastomer membrane deformed into a complex pattern with a mixture of two states, one being flat and the other wrinkled.…”

Section: Introductionmentioning

confidence: 99%

“…Similar conditions have been used to study electromechanical instability in dielectric elastomers Diaz-Calleja et al 2008;Leng et al 2009;Dorfmann & Ogden 2010;Xu et al 2010;Bertoldi & Gei 2011 In the case of discontinuous phase transition, the stable equilibrium state changes abruptly at the transition point, which is typically beyond the reach of small perturbation analysis.…”

Section: Stability Of a Homogeneous State Against Small Perturbationmentioning

confidence: 99%

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Electromechanical phase transition in dielectric elastomers

Huang

Suo

2011

Proc. R. Soc. A.

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Subject to forces and voltage, a dielectric elastomer may undergo electromechanical phase transition. A phase diagram is constructed for an ideal dielectric elastomer membrane under uniaxial force and voltage, reminiscent of the phase diagram for liquid-vapour transition of a pure substance. We identify a critical point for the electromechanical phase transition. Two states of deformation (thick and thin) may coexist during the phase transition, with the mismatch in lateral stretch accommodated by wrinkling of the membrane in the thin state. The processes of electromechanical phase transition under various conditions are discussed. A reversible cycle is suggested for electromechanical energy conversion using the dielectric elastomer membrane, analogous to the classical Carnot cycle for a heat engine. The amount of energy conversion, however, is limited by failure of the dielectric elastomer owing to electrical breakdown. With a particular combination of material properties, the electromechanical energy conversion can be significantly extended by taking advantage of the phase transition without electrical breakdown.

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Section: Introductionmentioning

confidence: 99%

Section: Stability Of a Homogeneous State Against Small Perturbationmentioning

confidence: 99%

Electromechanical phase transition in dielectric elastomers

Huang

Suo

2011

Proc. R. Soc. A.

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“…Furthermore, the stable domain and unstable domain of dielectric elastomers were determined. These results can help us understand the stability performance of NeoHooken silicone more thoroughly [31] . An elastic strain energy function with two material constants was used to analyze the stability performance of dielectric elastomers by our group.…”

Section: Introductionmentioning

confidence: 93%

Stability analysis of dielectric elastomer film actuator

Liu

Sun

et al. 2009

Sci. China Ser. E-Technol. Sci.

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Dielectric elastomer (DE) is the most promising electroactive polymer material for smart actuators. When a piece of DE film is sandwiched between two compliant electrodes with a high electric field, due to the electrostatic force between the two electrodes, the film expands in-plane and contracts out-of-plane so that its thickness becomes thinner. The thinner thickness results in a higher electric field which inversely squeezes the film again. When the electric field exceeds the critical value, the dielectric field breaks down and the actuator becomes invalid. An elastic strain energy function with two material constants is used to analyze the stability of the dielectric elastomer actuator based on the nonlinear electromechanical field theory. The result shows that the actuator improves its stability as the ratio k of the material constants increases, which can be applied to design of actuators. Finally, this method is extended to study the stability of dielectric elastomers with elastic strain energy functions containing three and more material constants. dielectric elastomer, actuator, electroactive polymer, stability, elastic strain energy function

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“…Theoretical analysis of electromechanical instability has been considered by many authors, exemplified in [27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. Based on the theory of small deformations superimposed on large deformations for a general electroelastic material following the development of Dorfmann & Ogden [43], an analysis of the stability of an electroelastic plate was performed by the same authors in [44].…”

Section: (A) Planar Geometriesmentioning

confidence: 99%

Nonlinear electroelasticity: material properties, continuum theory and applications

Dorfmann

Ogden

2017

Proc. R. Soc. A.

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In the last few years, it has been recognized that the large deformation capacity of elastomeric materials that are sensitive to electric fields can be harnessed for use in transducer devices such as actuators and sensors. This has led to the reassessment of the mathematical theory that is needed for the description of the electromechanical (in particular, electroelastic) interactions for purposes of material characterization and prediction. After a review of the key experiments concerned with determining the nature of the electromechanical interactions and a discussion of the range of applications to devices, we provide a short account of the history of developments in the nonlinear theory. This is followed by a succinct modern treatment of electroelastic theory, including the governing equations and constitutive laws needed for both material characterization and the analysis of general electroelastic coupling problems. For illustration, the theory is then applied to two simple representative boundary-value problems that are relevant to the geometries of activation devices; in particular, (a) a rectangular plate and (b) a circular cylindrical tube, in each case with compliant electrodes on the major surfaces and a potential difference between them. In (a), an electric field is generated normal to the major surfaces and in (b), a radial electric field is present. This is followed by a short section in which other problems addressed on the basis of the general theory are described briefly.

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On electromechanical stability of dielectric elastomers

Cited by 83 publications

References 4 publications

Electromechanical phase transition in dielectric elastomers

Electromechanical phase transition in dielectric elastomers

Stability analysis of dielectric elastomer film actuator

Nonlinear electroelasticity: material properties, continuum theory and applications

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