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Variational formulations and numerical analysis of some problems in small strain elastoplasticity
Bibliography: pages 316-322.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Civil Engineering
2016
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| _version_ | 1867613330829475840 |
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| access_status_str | Open Access |
| author | Griffin, Terence Bernard |
| author2 | Reddy, B Daya |
| author_browse | Griffin, Terence Bernard Reddy, B Daya |
| author_facet | Reddy, B Daya Griffin, Terence Bernard |
| author_sort | Griffin, Terence Bernard |
| collection | Thesis |
| description | Bibliography: pages 316-322. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/22576 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:25.395Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| 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:11427/22576 Variational formulations and numerical analysis of some problems in small strain elastoplasticity Griffin, Terence Bernard Reddy, B Daya Civil Engineering elastoplasticity Bibliography: pages 316-322. 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. 2016-11-18T11:23:56Z 2016-11-18T11:23:56Z 1986 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/22576 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Civil Engineering elastoplasticity Griffin, Terence Bernard Variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| thesis_degree_str | Doctoral |
| title | Variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| title_full | Variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| title_fullStr | Variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| title_full_unstemmed | Variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| title_short | Variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| title_sort | variational formulations and numerical analysis of some problems in small strain elastoplasticity |
| topic | Civil Engineering elastoplasticity |
| url | http://hdl.handle.net/11427/22576 |
| work_keys_str_mv | AT griffinterencebernard variationalformulationsandnumericalanalysisofsomeproblemsinsmallstrainelastoplasticity |