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Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells
Bibliography: pages 132-135.
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Civil Engineering
2016
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| _version_ | 1867613274639433728 |
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| access_status_str | Open Access |
| author | Eve, Robin Andrew |
| author2 | Reddy, B Daya |
| author_browse | Eve, Robin Andrew Reddy, B Daya |
| author_facet | Reddy, B Daya Eve, Robin Andrew |
| author_sort | Eve, Robin Andrew |
| collection | Thesis |
| description | Bibliography: pages 132-135. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/22509 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:31.121Z |
| 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:11427/22509 Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells Eve, Robin Andrew Reddy, B Daya Applied Mechanics Bibliography: pages 132-135. In deriving asymptotic error estimates for a conforming finite element analyses of static thin elastic shell problems, the French mathematician Ciarlet (1976) proposed an approach to the formulation of such problems. The formulation he uses is based on classical shell theory making use of Kirchhoff-Koiter assumptions. The shell problem is posed in two-dimensional space to which the real problem, in three-dimensional space, is related by a mapping of the domain of the problem to the shell mid-surface. The finite element approximation is formulated in terms of the covariant components of the shell mid-surface displacement field. In this study, Ciarlet's formulation is extended to include the eigenvalue problem for the shell. In addition to this, the aim of the study is to obtain some indication of how well this approach might be expected to work in practice. The conforming finite element approximation of both the static and eigenvalue problems are implemented. Particular attention is paid to allowing generality of the shell surface geometry through the use of an approximate mapping. The use of different integration rules, in-plane displacement component interpolation schemes and approximate geometry schemes are investigated. Results are presented for shells of different geometries for both static and eigenvalue analyses; these are compared with independently obtained results. 2016-11-14T06:52:00Z 2016-11-14T06:52:00Z 1987 Master Thesis Masters MSc (Eng) http://hdl.handle.net/11427/22509 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Applied Mechanics Eve, Robin Andrew Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| thesis_degree_str | Master's |
| title | Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| title_full | Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| title_fullStr | Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| title_full_unstemmed | Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| title_short | Formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| title_sort | formulation and implementation of conforming finite element approximations to static and eigenvalue problems for thin elastic shells |
| topic | Applied Mechanics |
| url | http://hdl.handle.net/11427/22509 |
| work_keys_str_mv | AT everobinandrew formulationandimplementationofconformingfiniteelementapproximationstostaticandeigenvalueproblemsforthinelasticshells |