Implementation of Third Order Plate Theory for use in Existing Finite Element Software

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dc.contributor.authorPortier, Sarahen
dc.contributor.committeechairKapania, Rakesh K.en
dc.contributor.committeememberHughes, Owen F.en
dc.contributor.committeememberPatil, Mayuresh J.en
dc.contributor.departmentAerospace and Ocean Engineeringen
dc.date.accessioned2017-10-18T04:18:11Zen
dc.date.adate2006-07-11en
dc.date.available2017-10-18T04:18:11Zen
dc.date.issued2006-05-12en
dc.date.rdate2008-07-11en
dc.date.sdate2006-05-19en
dc.description.abstractSandwich plates and layered composites are common in many structural applications because of their combination of high stiffness and low weight. These plates combine top and bottom layers of high Young's modulus with intermediate layers of material carrying predominantly shear loads. Finite elements developed for the analysis of sandwich plates need to accurately model transverse shear stresses through the plate thickness. This study was inspired by an Office of Naval Research project to investigate the suitability of steel sandwich plates as ship hulls. A finite element implementation based on a third-order shear deformation element was used in a standard finite element program to model transverse shear stresses in a simply supported plate. Four elements based on third-order theory are developed and tested. Using static condensation to reduce the number of degrees of freedom required by a third-order plate element does not preserve the element's accuracy in either displacements or stresses, and stresses do not converge with refinement of the mesh. For the thin isotropic plate case, some condensed elements give reasonable displacement and stress results, but only for certain choices of mesh and the element is less versatile than one based on first order plate theory. None of the condensed elements give good results for composite plates of any thickness.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05192006-093252en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05192006-093252/en
dc.identifier.urihttp://hdl.handle.net/10919/79680en
dc.language.isoen_USen
dc.publisherVirginia Techen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectStatic Condensationen
dc.subjectFinite element methoden
dc.subjectThird Order Plate Theoryen
dc.subjectPlate Elementen
dc.titleImplementation of Third Order Plate Theory for use in Existing Finite Element Softwareen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace and Ocean Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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