Simple Shear Response of a Hyperelastic Dielectric Media Revisited

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2014
Accession Number
ADA610390

Entities

People

  • Brian M. Powers
  • David A. Hopkins
  • George A. Gazonas

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Anisotropy
  • Boundaries
  • Boundary Value Problems
  • Continuum Mechanics
  • Dielectric Permittivity
  • Dielectric Properties
  • Dielectrics
  • Electric Fields
  • Electromagnetic Fields
  • Electrostatics
  • Energy
  • Equations
  • Free Energy
  • Materials
  • Mechanics
  • Military Research
  • Polarization

Readers

  • Academic Conference Management
  • Fluid Dynamics.
  • Theoretical Analysis.