Formulations for incremental elastic-plastic analysis and the consolidation of porous media

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dc.contributor.advisorMartin, JBen_ZA
dc.contributor.authorBird, Wyndham Wadhamen_ZA
dc.date.accessioned2014-09-22T07:49:40Z
dc.date.available2014-09-22T07:49:40Z
dc.date.issued1987en_ZA
dc.descriptionIncludes bibliographical references.en_ZA
dc.description.abstractThe formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures.en_ZA
dc.identifier.apacitationBird, W. W. (1987). <i>Formulations for incremental elastic-plastic analysis and the consolidation of porous media</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/7583en_ZA
dc.identifier.chicagocitationBird, Wyndham Wadham. <i>"Formulations for incremental elastic-plastic analysis and the consolidation of porous media."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1987. http://hdl.handle.net/11427/7583en_ZA
dc.identifier.citationBird, W. 1987. Formulations for incremental elastic-plastic analysis and the consolidation of porous media. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Bird, Wyndham Wadham AB - The formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures. DA - 1987 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1987 T1 - Formulations for incremental elastic-plastic analysis and the consolidation of porous media TI - Formulations for incremental elastic-plastic analysis and the consolidation of porous media UR - http://hdl.handle.net/11427/7583 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/7583
dc.identifier.vancouvercitationBird WW. Formulations for incremental elastic-plastic analysis and the consolidation of porous media. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1987 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/7583en_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.titleFormulations for incremental elastic-plastic analysis and the consolidation of porous mediaen_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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