A finite strain theory, and its application to the plane stress response of polyurethane

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dc.contributor.authorHealy, Gerald Sylvesteren
dc.contributor.committeechairChang, Tsu-Shengen
dc.contributor.committeememberFrederick, Danielen
dc.contributor.committeememberMcFadden, Leonard D.en
dc.contributor.committeememberMaher, Francis J.en
dc.contributor.committeememberWood, Henry L.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:08:48Zen
dc.date.adate2010-01-12en
dc.date.available2014-03-14T21:08:48Zen
dc.date.issued1966-05-05en
dc.date.rdate2010-01-12en
dc.date.sdate2010-01-12en
dc.description.abstractThe theory proposed in this thesis is an attempt to bridge the gap that exists between the linear and nonlinear theories of Elasticity. The theory is applied to the solution of a hubbed, clamped, circular plate made of polyurethane whose hub is subjected to a "large" axi~symmetrioc twist. This particular problem is attacked in the conventional manner of the generalized plane stress problem of linear elasticity. However, the strain displacement relations are formulated in the Eulerian manner and the displacement gradients are not assumed to be small. In addition, a more general stress~strain relationship than the conventional Hookean form is assumed. The solution is checked by experiment; and in addition, three auxiliary problems; the uniaxial compression problem, the uniaxial tension problem, and a shear problem are checked experimentally to further cheek the validity of the proposed theory when applied to the finite strain response of polyurethane.en
dc.description.degreePh. D.en
dc.format.extent110 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-01122010-020308en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-01122010-020308/en
dc.identifier.urihttp://hdl.handle.net/10919/37194en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1966.H424.pdfen
dc.relation.isformatofOCLC# 20340958en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1966.H424en
dc.subject.lcshPlates (Engineering) -- Fatigueen
dc.titleA finite strain theory, and its application to the plane stress response of polyurethaneen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Instituteen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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