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Constitutive Modeling of Electrostrictive Polymers using a Hyperelasticity-Based Approach

The use of constitutive equations to describe the electro-mechanical behavior of electrostrictive materials began over 100 years ago. While these equations have been used to model a host of ceramic-based and polymer-based electroactive materials, a fully-characterized model has not yet been developed to predict the response of transversely-isotropic polymer electrostrictives. A constitutive model is developed within a thermodynamic and hyperelastic framework that incorporates the transversly-isotropic material symmetry that is present in many polymer-based electrostrictives. The resulting constitutive model is characterized for three electrostrictive polymer systems using empirical data that is available in the literature. The model has a relatively simple functional form that is easily adaptable to other polymer electrostrictive material systems.