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dc.creatorChristiansen, Brian Thomas
dc.date.available2014-11-10T19:19:16Z
dc.date.issued1991-08
dc.identifier.urihttp://hdl.handle.net/2346/59813
dc.description.abstractAn analysis is presented of a Fredholm integral equation of the second kind with a weakly singular kernel. The equation results from a mixed boundary value problem that describes a crack in an inhomogeneous elastic solid. The singularity in the kernel is dealt with by a numerical procedure known as product integration. The solution of the integral equation allows one to solve for the field quantities that are relevant to the boundary value problem. In terms of the field quantities, fracture parameters are calculated and the effect of material inhomogeneity upon crack stability is analyzed.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.subjectFredholm equations -- Numerical solutions
dc.subjectKernel functions
dc.titleThe numerical solution of a fredholm integral equation with a singular kernelen_US
dc.typeThesis
thesis.degree.nameMaster of Science
thesis.degree.levelMasters
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics
dc.contributor.committeeMemberAllen, Edward J.
dc.contributor.committeeMemberStromberg, Marc
dc.contributor.committeeChairSchovanec, Lawrence
dc.rights.availabilityUnrestricted.


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