University of Illinois Urbana-Champaign

Some simple explicit results for the elastic dielectric properties and stability of layered composites

Spinelli, Stephen

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Stephen_Spinelli.pdf

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https://hdl.handle.net/2142/49770

Description

Title
Some simple explicit results for the elastic dielectric properties and stability of layered composites
Author(s)
Spinelli, Stephen
Issue Date
2014-05-30T17:08:45Z
Director of Research (if dissertation) or Advisor (if thesis)
Lopez-Pamies, Oscar
Department of Study
Civil & Environmental Eng
Discipline
Civil Engineering
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.S.
Degree Level
Thesis
Date of Ingest
2014-05-30T17:08:45Z
Keyword(s)
  • Electroactive materials
  • Piezoelectric materials
  • Homogenization
  • Finite strain
  • Bifurcation
Abstract
A string of partial results — aimed at shedding light on the behavior of dielectric elastomer composites — have been recently reported in the literature for the macroscopic electroelastic response and stability of layered composites with ideal elastic dielectric phases. Such results have been restricted to two phases and plane-strain loading conditions. It is the purpose of this thesis to place on record simple explicit expressions for the macroscopic electroelastic response and stability of layered composites with any number of ideal elastic dielectric phases under general electromechanical loading conditions. Inter alia, these expressions provide insight into a variety of practical and theoretical issues in relation to the modeling of elastic dielectric composites with anisotropic microstructures, ranging from the choice of invariants to describe their free energy function to the effects of interphasial phenomena. This thesis also places on record the conditions of ordinary and strong ellipticity for elastic dielectrics in full generality.
Graduation Semester
2014-05
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http://hdl.handle.net/2142/49770
Copyright and License Information
Copyright 2014 Stephen Spinelli

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Dissertations and Theses - Civil and Environmental Engineering