Variational formulations and numerical analysis of some problems in small strain elastoplasticity

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dc.contributor.advisorReddy, B Dayaen_ZA
dc.contributor.authorGriffin, Terence Bernarden_ZA
dc.date.accessioned2016-11-18T11:23:56Z
dc.date.available2016-11-18T11:23:56Z
dc.date.issued1986en_ZA
dc.descriptionBibliography: pages 316-322.en_ZA
dc.description.abstractIn this thesis we study the mathematical structure and numerical approximation of two boundary-value problems in small strain elastoplasticity. The first problem, which we call the incremental holonomic problem, is based on a consistent incremental holonomic constitutive law, which in turn derives from the notion of extremal paths in stress and strain space as originally proposed by PONTER & MARTIN (1972); the second problem which we study is the classical rate problem. We show that both problems can be formulated as variational inequalities, with internal variables being included explicitly in the formulation. Corresponding minimisation problems follow naturally from standard results in convex analysis.en_ZA
dc.identifier.apacitationGriffin, T. B. (1986). <i>Variational formulations and numerical analysis of some problems in small strain elastoplasticity</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/22576en_ZA
dc.identifier.chicagocitationGriffin, Terence Bernard. <i>"Variational formulations and numerical analysis of some problems in small strain elastoplasticity."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1986. http://hdl.handle.net/11427/22576en_ZA
dc.identifier.citationGriffin, T. 1986. Variational formulations and numerical analysis of some problems in small strain elastoplasticity. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Griffin, Terence Bernard AB - In this thesis we study the mathematical structure and numerical approximation of two boundary-value problems in small strain elastoplasticity. The first problem, which we call the incremental holonomic problem, is based on a consistent incremental holonomic constitutive law, which in turn derives from the notion of extremal paths in stress and strain space as originally proposed by PONTER & MARTIN (1972); the second problem which we study is the classical rate problem. We show that both problems can be formulated as variational inequalities, with internal variables being included explicitly in the formulation. Corresponding minimisation problems follow naturally from standard results in convex analysis. DA - 1986 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1986 T1 - Variational formulations and numerical analysis of some problems in small strain elastoplasticity TI - Variational formulations and numerical analysis of some problems in small strain elastoplasticity UR - http://hdl.handle.net/11427/22576 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/22576
dc.identifier.vancouvercitationGriffin TB. Variational formulations and numerical analysis of some problems in small strain elastoplasticity. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1986 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/22576en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Civil Engineeringen_ZA
dc.publisher.facultyFaculty of Engineering and the Built Environment
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherCivil Engineeringen_ZA
dc.subject.otherelastoplasticityen_ZA
dc.titleVariational formulations and numerical analysis of some problems in small strain elastoplasticityen_ZA
dc.typeDoctoral Thesis
dc.type.qualificationlevelDoctoral
dc.type.qualificationnamePhDen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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