A Finite Element-based Adaptive Energy Response Function Method for Curvilinear Progressive Fracture

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dc.contributor.advisorMillwater, Harry
dc.contributor.authorWagner, David
dc.contributor.committeeMemberFinol, Ender
dc.contributor.committeeMemberGarcia, Manuel J.
dc.contributor.committeeMemberMontoya, Arturo
dc.contributor.committeeMemberGolden, Patrick
dc.contributor.committeeMemberGlaessgen, Edward H.
dc.date.accessioned2024-01-26T23:09:25Z
dc.date.available2024-01-26T23:09:25Z
dc.date.issued2018
dc.descriptionThe author has granted permission for their work to be available to the general public.
dc.description.abstractAn adaptive arbitrary-order curvilinear progressive 2D crack growth algorithm is presented. The method uses the ZFEM hypercomplex finite element program to compute arbitrary order derivatives of strain energy with respect to self-similar or perpendicular crack extensions, and then constructs a family of Taylor series functions of strain energy versus crack growth direction. An adaptive algorithm automatically selects the best high-degree polynomial to extrapolate a curvilinear crack path, and adjusts the length of the crack growth increment added during each simulation step to maintain the crack path and model energy within desired tolerances. The method is automated such that the full crack path from inception to failure is computed with multiple FE analyses. Numerical examples up to fifth order are presented and compared against experiments.
dc.description.departmentMechanical Engineering
dc.format.extent180 pages
dc.format.mimetypeapplication/pdf
dc.identifier.isbn9780438300248
dc.identifier.urihttps://hdl.handle.net/20.500.12588/2741
dc.languageen
dc.subjectdifferentiation
dc.subjectFEM
dc.subjecthypercomplex
dc.subjectmulticomplex
dc.subjectmultidual
dc.subjectnumerical
dc.subject.classificationApplied mathematics
dc.subject.classificationMechanical engineering
dc.subject.classificationMaterials Science
dc.titleA Finite Element-based Adaptive Energy Response Function Method for Curvilinear Progressive Fracture
dc.typeThesis
dc.type.dcmiText
dcterms.accessRightspq_OA
thesis.degree.departmentMechanical Engineering
thesis.degree.grantorUniversity of Texas at San Antonio
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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