Simple Shear Response of a Hyperelastic Dielectric Media Revisited

Report No. ARL-TR-7103
Authors: Brian M Powers; David A Hopkins; George A Gazonas
Date/Pages: September 2014; 22 pages
Abstract: Several authors have published theories for the finite deformation response of hyperelastic electroactive media. Among these theories, there is no general consensus on how the electromagnetic fields are mapped between the spatial frame and the material frame. In this report we examine 2 of these theories that differ by how polarization is mapped between frames and apply them to the problem of the simple shear of an infinite parallel plate capacitor with electrostatic assumptions. We show that the predictions from these theories differ from both each other in the relationship between polarization and electric field as well as the result obtained for small deformations.
Distribution: Approved for public release
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Last Update / Reviewed: September 1, 2014