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Geometric and material nonlinear effects in elastic-plastic and failure analyses of anisotropic laminated structures

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dc.contributor.authorRourk, Daveen
dc.contributor.committeechairReddy, Junuthula N.en
dc.contributor.committeememberFrederick, Danielen
dc.contributor.committeememberHenneke, Edmund G.en
dc.contributor.committeememberKuppusamy, Thangaveluen
dc.contributor.committeememberLoos, Alfred C.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2017-03-10T21:54:36Zen
dc.date.available2017-03-10T21:54:36Zen
dc.date.issued1986en
dc.description.abstractIn this study, an analytical procedure to predict the strength and failure of laminated composite structures under monotonically increasing static loads is presented. A degenerated 3-D shell finite element that includes linear elastic and plastic material behavior with full geometric nonlinearity is used to determine stresses at selected points (Gauss quadrature points in each element) of the structure. Material stiffness (constitutive) matrices are evaluated at each Gauss point, in each lamina and in each element, and when the computed stress state violates a user selected failure criterion, the material stiffness matrix at the failed Gauss point is reduced. The reduction procedure involves setting the material stiffnesses to unity. Examples of isotropic, orthotropic, anisotropic and composite laminates are presented to illustrate the validity of the procedure developed and to evaluate various failure theories. Maximum stress, modified Hills (Mathers), Tsai-Wu (F₁₂ = 0), and Hashin's failure criteria are included. The results indicate that for large length-to-thickness ratios, the geometric nonlinear effect should be incorporated for both isotropic and anisotropic structures. The nonlinear material model influences the behavior of isotropic structures with small length-to-thickness ratios, while having nearly no effect at all on laminated anisotropic structures. Of the four failure theories compared, each predicts failure at nearly the same load levels and locations. Hashin's criterion is particularly noteworthy in that the mode is also predicted.en
dc.description.degreePh. D.en
dc.format.extentv, 83 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/76492en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 15788111en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1986.R684en
dc.subject.lcshComposite materialsen
dc.subject.lcshLaminated materialsen
dc.titleGeometric and material nonlinear effects in elastic-plastic and failure analyses of anisotropic laminated structuresen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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