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Further numerical techniques for planar elastostatic analysis by the boundary integral equation method
Includes bibliography.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Civil Engineering
2014
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| _version_ | 1867614363282571264 |
|---|---|
| access_status_str | Open Access |
| author | Howell, Graham Conrad |
| author2 | Doyle, WS |
| author_browse | Doyle, WS Howell, Graham Conrad |
| author_facet | Doyle, WS Howell, Graham Conrad |
| author_sort | Howell, Graham Conrad |
| collection | Thesis |
| description | Includes bibliography. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/7578 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:50:51.214Z |
| 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:11427/7578 Further numerical techniques for planar elastostatic analysis by the boundary integral equation method Howell, Graham Conrad Doyle, WS Civil Engineering Includes bibliography. Prior experience of the Finite Element Method stimulated interest and led to research into the Boundary Integral Equation Method, specifically for the solution of planar elastostatic problems. A complete expose of the mathematical theory of the Boundary Integral Equation Method is given. The basis of the method is traced and the similarities and differences as opposed to the Finite Element Method, are highlighted. The numerical implementation of the method, using constant, linear and quadratic interpolation functions over the boundary segments is developed and then inclusion in computer programs is discussed. Attention is given to the problem of numerical integration over a singularity, for which detailed expressions are given. The verification and applicability of the technique is thoroughly investigated in five fully documented examples. Solutions to the problem of traction discontinuities at a corner are proposed and an analysis of the inclusion of body forces, together with documented examples, are described. Also investigated is the nonsymmetric form of the resulting matrices. It is proven that no direct and practical way can be found to render these matrices symmetric. By investigating the error in the numerical integration process, the suitability of segments is also discussed. Emphasis is placed on the solution of non-homogeneous domains and domains which extend to infinity. The development of the necessary numerical techniques required in both cases is discussed and fully documented. Finally, a method of automatically improving the accuracy of the solution of the Boundary Integral Equation Method by using p and h convergence adaptive processes is also presented. 2014-09-22T07:49:27Z 2014-09-22T07:49:27Z 1984 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/7578 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Civil Engineering Howell, Graham Conrad Further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| thesis_degree_str | Doctoral |
| title | Further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| title_full | Further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| title_fullStr | Further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| title_full_unstemmed | Further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| title_short | Further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| title_sort | further numerical techniques for planar elastostatic analysis by the boundary integral equation method |
| topic | Civil Engineering |
| url | http://hdl.handle.net/11427/7578 |
| work_keys_str_mv | AT howellgrahamconrad furthernumericaltechniquesforplanarelastostaticanalysisbytheboundaryintegralequationmethod |