Constitutive relation electromechanical stability analysis of Ogden type dielectric elastomer with linear permittivity

The Ogden elastic strain energy function with multiple material constants is applied to analyze the mechanical performance of dielectric elastomers. The electromechanical stability is investigated in detail. Numerical results show that the proper improvement of material coefficients including the material constant ratio and the electrostriction coefficient can enhance the stability performance of the dielectric elastomer or the dielectric elastomer structure. All these results are helpful in understanding further the stability performance and design of actuators based on dielectric elastomer.