{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/49770"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/49770","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Some simple explicit results for the elastic dielectric properties and stability of layered composites","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Spinelli, Stephen"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Civil Engineering","degree_department":null,"school":null,"contributors":["Lopez-Pamies, Oscar"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-05-30T17:08:45Z","date_published":"2014-05-30T17:08:45Z","updated_at":"2026-07-22T22:25:40Z","subjects":["Electroactive materials","Piezoelectric materials","Homogenization","Finite strain","Bifurcation"],"languages":["en"],"rights":["Copyright 2014 Stephen Spinelli"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/49770","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Lopez-Pamies, Oscar"]},{"key":"dc:creator","label":"Author","values":["Spinelli, Stephen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2014-05-30T17:08:45Z","2016-09-22T20:59:31Z","2014-05"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Electroactive materials","Piezoelectric materials","Homogenization","Finite strain","Bifurcation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2014 Stephen Spinelli"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/49770"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["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. 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