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dc.creatorBrisendine, Scott Douglas
dc.date.available2011-02-18T19:43:50Z
dc.date.issued1988-12
dc.identifier.urihttp://hdl.handle.net/2346/11772en_US
dc.description.abstractIn this thesis, an opening mode crack in a nonhomogeneous material is studied by assuming a continuously varying shear modulus which characterizes a decreasing rigidity near the crack tip. Explicit expressions for the stress and displacement fields are derived and numerical results are presented which illustrate the effects of material softening upon these quantities. It is shown that the crack tip stresses are either bounded, asymptotic to r^a, 0 < a < ½, or exhibit a logarithmic singularity at the crack tip. In all cases the components of stress are less than those for the corresponding problem in a homogeneous medium and the crack surface displacements are increased as a result of the reduced rigidity.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherTexas Tech Universityen_US
dc.subjectComposite materials -- Crackingen_US
dc.subjectFracture mechanicsen_US
dc.subjectShear (Mechanics)en_US
dc.subjectContinuum mechanicsen_US
dc.titleAn opening mode crack in a nonhomogeneous elastic material
dc.typeThesis
thesis.degree.nameM.S.
thesis.degree.levelMasters
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics
thesis.degree.departmentMathematics and Statistics
dc.degree.departmentMathematicsen_US
dc.rights.availabilityUnrestricted.


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