Dielectric elastomers exhibit novel electromechanical coupling that has been exploited in many adaptive structure applications. Whereas the quasi-static, one-dimensional constitutive behavior can often be accurately quantified by hyperelastic functions and linear dielectric relations, accurate predictions of electromechanical, rate-dependent deformation during multiaxial loading is non-trivial. In this paper, an overview of multiaxial electromechanical membrane finite element modeling is formulated. Viscoelastic constitutive relations are extended to include fractional order. It is shown that fractional order viscoelastic constitutive relations are superior to conventional integer order models. This knowledge is critical for transition to control of legged robotic structures that exhibit advanced mobility.
William Oates, Paul Miles, Wei Gao, Jonathan Clark, Somayeh Mashayekhi, and M. Yousuff Hussaini, "Rate dependent constitutive behavior of dielectric elastomers and applications in legged robotics," Proc. SPIE 10163, Electroactive Polymer Actuators and Devices (EAPAD) 2017, 1016316 (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 28, 2017; Published: 17 April 2017); https://doi.org/10.1117/12.2260185.
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