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Time integration algorithms for finite element analysis of creep problems
Bibliography: leaves 127-132.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Civil Engineering
2014
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| _version_ | 1867613267166232576 |
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| access_status_str | Open Access |
| author | Marais, Nicholas John |
| author2 | Martin, JB |
| author_browse | Marais, Nicholas John Martin, JB |
| author_facet | Martin, JB Marais, Nicholas John |
| author_sort | Marais, Nicholas John |
| collection | Thesis |
| description | Bibliography: leaves 127-132. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/8318 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:25.185Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Civil Engineering |
| publisherStr | Department of Civil Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/8318 Time integration algorithms for finite element analysis of creep problems Marais, Nicholas John Martin, JB Civil Engineering Bibliography: leaves 127-132. 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. 2014-10-11T12:00:05Z 2014-10-11T12:00:05Z 1989 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/8318 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Civil Engineering Marais, Nicholas John Time integration algorithms for finite element analysis of creep problems |
| thesis_degree_str | Doctoral |
| title | Time integration algorithms for finite element analysis of creep problems |
| title_full | Time integration algorithms for finite element analysis of creep problems |
| title_fullStr | Time integration algorithms for finite element analysis of creep problems |
| title_full_unstemmed | Time integration algorithms for finite element analysis of creep problems |
| title_short | Time integration algorithms for finite element analysis of creep problems |
| title_sort | time integration algorithms for finite element analysis of creep problems |
| topic | Civil Engineering |
| url | http://hdl.handle.net/11427/8318 |
| work_keys_str_mv | AT maraisnicholasjohn timeintegrationalgorithmsforfiniteelementanalysisofcreepproblems |