Analytical Solution of two Traction-Value Problems in Second-Order Elasticity with Live Loads

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dc.contributor.authorIaccarino, Gianni Lucaen
dc.contributor.committeechairBatra, Romesh C.en
dc.contributor.committeememberHenneke, Edmund G. IIen
dc.contributor.committeememberThangjitham, Suroten
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2014-03-14T20:45:45Zen
dc.date.adate2006-12-13en
dc.date.available2014-03-14T20:45:45Zen
dc.date.issued2006-08-29en
dc.date.rdate2006-12-13en
dc.date.sdate2006-09-21en
dc.description.abstractWe present a generalization of Signorini's method to the case of live loads which allows us to derive approximate solutions to some pure traction-value problems in finite elastostatics. The boundary-value problems and the corresponding compatibility conditions are formulated in order to determine the displacement of the system up to the second-order of approximation. In particular, we consider the case of homogeneous and isotropic elastic bodies and we solve the following two traction-value problems with live loads:(i) a sphere subjected to the action of a uniform pressure field;(ii)a hollow circular cylinder whose inner and outer surfaces are subjected to uniform pressures. Then, starting from these solutions, we suggest experiments to determine the second-order constitutive constants of the elastic body. Expressions of the second-order material constants in terms of displacements and Lame' coefficients are determined.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-09212006-162913en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-09212006-162913/en
dc.identifier.urihttp://hdl.handle.net/10919/35137en
dc.publisherVirginia Techen
dc.relation.hasparttesimod.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjecttraction-value problemsen
dc.subjectconstitutive constantsen
dc.subjectlive loadsen
dc.subjectSignorini's Methoden
dc.subjectNonlinear Elastostaticsen
dc.titleAnalytical Solution of two Traction-Value Problems in Second-Order Elasticity with Live Loadsen
dc.typeThesisen
thesis.degree.disciplineEngineering Science and Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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