Crack growth in unidirectional composites using singular finite elements and interactive computer graphics

dc.contributor.authorChoksi, Gaurang Nalinen
dc.contributor.committeechairHerakovich, Carl T.en
dc.contributor.committeememberGriffin, O. Haydenen
dc.contributor.committeememberJohnson, Eric R.en
dc.contributor.committeememberReddy, Junuthula N.en
dc.contributor.committeememberSmith, Charles W.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2015-06-29T22:07:11Zen
dc.date.available2015-06-29T22:07:11Zen
dc.date.issued1988en
dc.description.abstractGraphical simulation of crack growth using singular finite elements and interactive computer graphics is presented. The study consists of two main parts : (i) the formulation and application of an anisotropic singular element (ASE) for analyzing homogeneous anisotropic materials with cracks and, (ii) graphical simulation of crack growth in unidirectional composites. Lekhnitskii’s stress function method is used to formulate the traction-free crack boundary value problem with the stress function expressed in a Laurent series. The geometry of the element is arbitrary. The development of the stiffness matrix for general anisotropic materials is presented and it is shown how the singular element can be incorporated into a conventional displacement based finite element program. The anisotropic singular element (ASE) developed is implemented to analyze cracked anisotropic materials subjected to inplane loading. A 2-D, displacement based linite element code is used and center cracked on- and off-axis coupons under tensile loading are analyzed using the element developed. A general, interactive menu driven program is developed to track crack growth in composite materials. PHIGS (Programmers Hierarchical Interactive Graphics System) is used as the application program interface to integrate the finite element program with interactive graphics. Simulation studies are performed for center cracked on- and off-axis Iaminae using the normal stress ratio theory as the crack propagation criterion. The direction of crack propagation and values of the crack initiation stresses predicted are in reasonable agreement with the experimental values for the cases analyzed.en
dc.description.degreePh. D.en
dc.format.extentix, 153 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/53931en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 18363724en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1988.C564en
dc.subject.lcshComposite materialsen
dc.subject.lcshFracture mechanicsen
dc.titleCrack growth in unidirectional composites using singular finite elements and interactive computer graphicsen
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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