Time integration algorithms for finite element analysis of creep problems

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dc.contributor.advisorMartin, JBen_ZA
dc.contributor.authorMarais, Nicholas Johnen_ZA
dc.date.accessioned2014-10-11T12:00:05Z
dc.date.available2014-10-11T12:00:05Z
dc.date.issued1989en_ZA
dc.descriptionBibliography: leaves 127-132.en_ZA
dc.description.abstractThe fundamental principles involved in the selection and implementation of time integration schemes for finite element analysis of nonlinear creep problems are investigated. The relationship between the nature of the integration algorithms and the mechanical principles of the time-dependent problem is explored. The emphasis is on uniaxial creep and simple constitutive laws are adopted. The essential nature of the problem is presented in different formulations. The creep problem is contained in a system of nonlinear first order ordinary differential equations in the creep strains only. This suggests that the integration scheme should be applied to the creep strains whereas traditional methods approximate the stresses. An internal variable framework is used to demonstrate the links between a consistent mathematical programming formulation and the conventional Newton-Raphson procedures. The incremental creep problem is cast as a nonlinear programming problem and is written as a minimum principle in the incremental displacements and creep strains.en_ZA
dc.identifier.apacitationMarais, N. J. (1989). <i>Time integration algorithms for finite element analysis of creep problems</i>. (Thesis). University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering. Retrieved from http://hdl.handle.net/11427/8318en_ZA
dc.identifier.chicagocitationMarais, Nicholas John. <i>"Time integration algorithms for finite element analysis of creep problems."</i> Thesis., University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1989. http://hdl.handle.net/11427/8318en_ZA
dc.identifier.citationMarais, N. 1989. Time integration algorithms for finite element analysis of creep problems. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Marais, Nicholas John AB - The fundamental principles involved in the selection and implementation of time integration schemes for finite element analysis of nonlinear creep problems are investigated. The relationship between the nature of the integration algorithms and the mechanical principles of the time-dependent problem is explored. The emphasis is on uniaxial creep and simple constitutive laws are adopted. The essential nature of the problem is presented in different formulations. The creep problem is contained in a system of nonlinear first order ordinary differential equations in the creep strains only. This suggests that the integration scheme should be applied to the creep strains whereas traditional methods approximate the stresses. An internal variable framework is used to demonstrate the links between a consistent mathematical programming formulation and the conventional Newton-Raphson procedures. The incremental creep problem is cast as a nonlinear programming problem and is written as a minimum principle in the incremental displacements and creep strains. DA - 1989 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 1989 T1 - Time integration algorithms for finite element analysis of creep problems TI - Time integration algorithms for finite element analysis of creep problems UR - http://hdl.handle.net/11427/8318 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/8318
dc.identifier.vancouvercitationMarais NJ. Time integration algorithms for finite element analysis of creep problems. [Thesis]. University of Cape Town ,Faculty of Engineering & the Built Environment ,Department of Civil Engineering, 1989 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/8318en_ZA
dc.language.isoeng
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.titleTime integration algorithms for finite element analysis of creep problemsen_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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