An evaluation of classical and refined equivalent-single-layer laminate theories

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dc.contributor.authorBose, Parthaen
dc.contributor.committeechairReddy, Junuthula N.en
dc.contributor.committeememberHeller, Robert A.en
dc.contributor.committeememberKriz, Ronald D.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:38:02Zen
dc.date.adate2009-06-11en
dc.date.available2014-03-14T21:38:02Zen
dc.date.issued1995-12-18en
dc.date.rdate2009-06-11en
dc.date.sdate2009-06-11en
dc.description.abstractIn this thesis, we study the static and free vibration response of symmetric and antisymmetric cross-ply laminated plates using different plate theories. Governing equations for two displacement-based third-order equivalent-single-layer theories have been developed. The first one is called the General Third-Order Theory (GTOT), and the second one is called the General Third-Order Theory of Reddy (GTTR). The displacement field of the second theory can be obtained from the first by imposing the condition of zero shear stresses at the bounding planes of the plate. The governing equations, analytical solutions, and finite element model of GTTR have been obtained in terms of tracers. Proceeding in this manner, the governing equations, analytical solutions, and finite element models of some lower-order plate theories fall out by just assigning appropriate values to the tracers (typically 1 or 0). While analytical and finite element solutions have been obtained for GTTR and its derivative cases, only finite element solutions have been obtained for GTOT. The analytical solutions are of two types. The Navier-type solution is for rectangular plates simply supported on all four edges. In the Levy-type solution, two sides of the plate have to be simply-supported, while the remaining two sides can have any combination of free, clamped, or simply-supported boundary conditions. The results obtained from the different theories have been compared with exact solutions from existing literature . The response characteristics of the plates, like deflections, stresses, and frequencies, as well as the parameters affecting them have been studied. Some of the parameters investigated are span-to-thickness ratios, boundary conditions, loadings, and lamination schemes. The performance of the different theories in predicting plate responses have been evaluated.en
dc.description.degreeMaster of Scienceen
dc.format.extentxii, 152 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06112009-063723en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06112009-063723/en
dc.identifier.urihttp://hdl.handle.net/10919/43180en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1995.B679.pdfen
dc.relation.isformatofOCLC# 34609499en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectFinite element methoden
dc.subjectlaminated platesen
dc.subject.lccLD5655.V855 1995.B679en
dc.titleAn evaluation of classical and refined equivalent-single-layer laminate theoriesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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