A programming approach to the numerical analysis of elasto-plastic continua

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dc.contributor.advisorMartin, J Ben_ZA
dc.contributor.authorDittmer, Colin Thomasen_ZA
dc.date.accessioned2016-03-21T19:04:12Z
dc.date.available2016-03-21T19:04:12Z
dc.date.issued1978en_ZA
dc.descriptionIncludes bibliography.en_ZA
dc.description.abstractThe application of a kinematic minimum principle involving a continuous functional subject to inequality constraints is described for the incremental analysis of elasto-plastic continua. A simple algorithm is used for solution of the resulting mathematical programming problem. The formulation is presented for problems in plane stress, plane strain or axial symmetry, using triangular constant strain finite elements, and is extended to the use of cubic quadrilateral isoparametric elements for which a numerical integration technique is employed to account for elasto-plastic interfaces within elements. The material is assumed to obey the von Mises yield condition, and be either elastic-perfectly plastic or linear kinematic hardening. Computational details and solution techniques are described, and numerical examples compared with experimental and numerical results in the literature. Some assessment is made of the relative computational efficiency of the method.en_ZA
dc.identifier.apacitationDittmer, C. T. (1978). <i>A programming approach to the numerical analysis of elasto-plastic continua</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/18022en_ZA
dc.identifier.chicagocitationDittmer, Colin Thomas. <i>"A programming approach to the numerical analysis of elasto-plastic continua."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1978. http://hdl.handle.net/11427/18022en_ZA
dc.identifier.citationDittmer, C. 1978. A programming approach to the numerical analysis of elasto-plastic continua. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Dittmer, Colin Thomas AB - The application of a kinematic minimum principle involving a continuous functional subject to inequality constraints is described for the incremental analysis of elasto-plastic continua. A simple algorithm is used for solution of the resulting mathematical programming problem. The formulation is presented for problems in plane stress, plane strain or axial symmetry, using triangular constant strain finite elements, and is extended to the use of cubic quadrilateral isoparametric elements for which a numerical integration technique is employed to account for elasto-plastic interfaces within elements. The material is assumed to obey the von Mises yield condition, and be either elastic-perfectly plastic or linear kinematic hardening. Computational details and solution techniques are described, and numerical examples compared with experimental and numerical results in the literature. Some assessment is made of the relative computational efficiency of the method. DA - 1978 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1978 T1 - A programming approach to the numerical analysis of elasto-plastic continua TI - A programming approach to the numerical analysis of elasto-plastic continua UR - http://hdl.handle.net/11427/18022 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/18022
dc.identifier.vancouvercitationDittmer CT. A programming approach to the numerical analysis of elasto-plastic continua. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1978 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/18022en_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.titleA programming approach to the numerical analysis of elasto-plastic continuaen_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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