Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies
Includes bibliographical references.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mechanical Engineering
2014
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613898502307840 |
|---|---|
| access_status_str | Open Access |
| author | Kaunda, Modify Andrew Elton |
| author2 | Martin, JB |
| author_browse | Kaunda, Modify Andrew Elton Martin, JB |
| author_facet | Martin, JB Kaunda, Modify Andrew Elton |
| author_sort | Kaunda, Modify Andrew Elton |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/8483 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:43:27.964Z |
| 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 Mechanical Engineering |
| publisherStr | Department of Mechanical Engineering |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/8483 Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies Kaunda, Modify Andrew Elton Martin, JB Mechanical Engineering Includes bibliographical references. Continuum and finite element formulations of the static and dynamic initial-boundary value evolution (elastoplastic) problems are considered in terms of both the classical and internal variable frameworks. The latter framework is employed to develop algorithms in the form of convex mathematical programming and Newton-Raphson schemes. This latter scheme is shown to be linked to the former in the sense that it expresses the conditions under which the convex non-linear function can be minimised. A Taylor series expansion in time and space is extensively employed to derive integration schemes which include the generalised trapezoidal rule and a generalised Newton-Raphson scheme. This approach provides theoretical foundations for the generalised trapezoidal rule and the generalised Newton-Raphson scheme that have some geometrical insights as well as an interpretation in terms of finite differences and calculus. Conventionally, one way of interpreting the generalised trapezoidal rule is that it uses a weighted average of values (such as velocity or acceleration) at the two ends of the time interval. In this dissertation, the generalised trapezoidal scheme is shown to be a special case of the forward-backward difference scheme for solving first order differential equations. 2014-10-17T07:31:07Z 2014-10-17T07:31:07Z 1994 Doctoral Thesis Doctoral PhD http://hdl.handle.net/11427/8483 eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Mechanical Engineering Kaunda, Modify Andrew Elton Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies |
| thesis_degree_str | Doctoral |
| title | Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies |
| title_full | Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies |
| title_fullStr | Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies |
| title_full_unstemmed | Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies |
| title_short | Finite element algorithms for the static and dynamic analysis of time-dependent and time-independent plastic bodies |
| title_sort | finite element algorithms for the static and dynamic analysis of time dependent and time independent plastic bodies |
| topic | Mechanical Engineering |
| url | http://hdl.handle.net/11427/8483 |
| work_keys_str_mv | AT kaundamodifyandrewelton finiteelementalgorithmsforthestaticanddynamicanalysisoftimedependentandtimeindependentplasticbodies |