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A programming approach to the numerical analysis of elasto-plastic continua
The application of a kinematic minimum principle involving a continuous functional subject to inequality constraints is described for the incremental analysis of elasto-plastic continua. A simple algorithm is used for solution of the resulting mathematical programming problem. The formulation is pre...
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Civil Engineering
2023
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| _version_ | 1867613299290406912 |
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| access_status_str | Open Access |
| author | Dittmer, Colin Thomas |
| author2 | Martin, J B |
| author_browse | Dittmer, Colin Thomas Martin, J B |
| author_facet | Martin, J B Dittmer, Colin Thomas |
| author_sort | Dittmer, Colin Thomas |
| collection | Thesis |
| description | The application of a kinematic minimum principle involving a continuous functional subject to inequality constraints is described for the incremental analysis of elasto-plastic continua. A simple algorithm is used for solution of the resulting mathematical programming problem. The formulation is presented for problems in plane stress, plane strain or axial symmetry, using triangular constant strain finite elements, and is extended to the use of cubic quadrilateral isoparametric elements for which a numerical integration technique is employed to account for elasto-plastic interfaces within elements. The material is assumed to obey the von Mises yield condition, and be either elastic-perfectly plastic or linear kinematic hardening. Computational details and solution techniques are described, and numerical examples compared with experimental and numerical results in the literature. Some assessment is made of the relative computational efficiency of the method. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/38893 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:33:55.830Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| 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:11427/38893 A programming approach to the numerical analysis of elasto-plastic continua Dittmer, Colin Thomas Martin, J B Civil engineering The application of a kinematic minimum principle involving a continuous functional subject to inequality constraints is described for the incremental analysis of elasto-plastic continua. A simple algorithm is used for solution of the resulting mathematical programming problem. The formulation is presented for problems in plane stress, plane strain or axial symmetry, using triangular constant strain finite elements, and is extended to the use of cubic quadrilateral isoparametric elements for which a numerical integration technique is employed to account for elasto-plastic interfaces within elements. The material is assumed to obey the von Mises yield condition, and be either elastic-perfectly plastic or linear kinematic hardening. Computational details and solution techniques are described, and numerical examples compared with experimental and numerical results in the literature. Some assessment is made of the relative computational efficiency of the method. 2023-09-27T12:43:49Z 2023-09-27T12:43:49Z 1978 2023-09-27T10:37:03Z Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/38893 eng application/pdf Department of Civil Engineering Faculty of Engineering and the Built Environment |
| spellingShingle | Civil engineering Dittmer, Colin Thomas A programming approach to the numerical analysis of elasto-plastic continua |
| thesis_degree_str | Doctoral |
| title | A programming approach to the numerical analysis of elasto-plastic continua |
| title_full | A programming approach to the numerical analysis of elasto-plastic continua |
| title_fullStr | A programming approach to the numerical analysis of elasto-plastic continua |
| title_full_unstemmed | A programming approach to the numerical analysis of elasto-plastic continua |
| title_short | A programming approach to the numerical analysis of elasto-plastic continua |
| title_sort | programming approach to the numerical analysis of elasto plastic continua |
| topic | Civil engineering |
| url | http://hdl.handle.net/11427/38893 |
| work_keys_str_mv | AT dittmercolinthomas aprogrammingapproachtothenumericalanalysisofelastoplasticcontinua AT dittmercolinthomas programmingapproachtothenumericalanalysisofelastoplasticcontinua |