Some simple explicit results for the elastic dielectric properties and stability of layered composites
Spinelli, Stephen
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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
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.
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