Abstract
When dielectric elastomers sandwiched between compliant electrodes and high electric voltage is applied to the dielectric elastomers. Then due to the electrostatic force between the electrodes the elastomers expands in plane and contract out of plane so that it becomes thinner. As the thickness decreases we observe the increase in the applied electric voltage with the positive feedback effect. This positive feedback leads the electrical as well as mechanical breakdown of elastomer. By applying a mechanical pre-stretch the mechanical stability of dielectric elastomers gets also increased. In this paper, a new generalized set of strain/stretch variables qrN has been introduced to get the expression for second order elastic moduli for the ideal electro elastic material deformed to orthorhombic structure. The strength of a loaded crystal determined from the new moduli has been compared with the strength of classical (Green, Stretch) moduli. It has been observed that the use of incorrect formula by ignoring shear strain leads to incorrect estimation of stability. This problem has been resolved by considering stretch variable in tensor form as generally observed in the process of electrostriction in the elastomers.
Highlights
Dielectric elastomer is a sub-category of Electroactive polymer
The stability analysis of dielectric elastomers is most popular issue, especially after Suo et al proposed the electromechanical stability theory of dielectric elastomers [6-12]. In their research they discussed the case, when a layer of dielectric elastomer is sandwiched between two compliant electrodes and voltage applied between the electrodes as the voltage ramps up, the layer thins down, so the same voltage produces a higher electric field which further thins down the elastomer as a positive feedback till the electrical breakdown of dielectric elastomer happen .It hinders the realization of large stable deformation
The above whole explanation is based on the condition that the elastomer experience only the mechanical forces
Summary
Dielectric elastomer is a sub-category of Electroactive polymer. Dielectric elastomers are the materials with special mechanical and electrical performance, which can produced many kinds of mechanical responses with applied electric field [1-4]. The stability analysis of dielectric elastomers is most popular issue, especially after Suo et al proposed the electromechanical stability theory of dielectric elastomers [6-12] In their research they discussed the case, when a layer of dielectric elastomer is sandwiched between two compliant electrodes and voltage applied between the electrodes as the voltage ramps up, the layer thins down, so the same voltage produces a higher electric field which further thins down the elastomer as a positive feedback till the electrical breakdown of dielectric elastomer happen .It hinders the realization of large stable deformation. This concept of generalised co-ordinate is introduced for explaining the mechanical stability of bcc iron structure but here it is used for the dielectric elastomers
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