A complex finite element method to compute accurate weight functions

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dc.contributor.advisorMillwater, Harry
dc.contributor.authorWagner, David
dc.contributor.committeeMemberBagley, Ron
dc.contributor.committeeMemberFoster, John
dc.date.accessioned2024-01-26T23:09:26Z
dc.date.available2024-01-26T23:09:26Z
dc.date.issued2012
dc.descriptionThe author has granted permission for their work to be available to the general public.
dc.description.abstractAnalytically extending the finite element method to the complex domain provides a means to determine accurately the weight function of a crack in a two­dimensional object of any specific shape. When the imaginary part of a two­ dimensional finite element model's nodal coordinates represents a small opening­ mode increase of a modeled crack's length, the opening­mode weight function for that crack may be determined directly from the solution's complex displacements and complex strain energy calculation. The accuracy of this novel method is limited only by the fidelity of the finite element mesh used to model the object.
dc.description.departmentMechanical Engineering
dc.format.extent49 pages
dc.format.mimetypeapplication/pdf
dc.identifier.isbn9781267616074
dc.identifier.urihttps://hdl.handle.net/20.500.12588/2743
dc.languageen
dc.subjectcomplex
dc.subjectfinite element
dc.subjectfracture
dc.subjectnumerical differentiation
dc.subjectWCTSE
dc.subjectweight function
dc.subject.classificationMechanical engineering
dc.subject.classificationApplied mathematics
dc.titleA complex finite element method to compute accurate weight functions
dc.typeThesis
dc.type.dcmiText
dcterms.accessRightspq_OA
thesis.degree.departmentMechanical Engineering
thesis.degree.grantorUniversity of Texas at San Antonio
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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