Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Time intergration schemes for rate dependent elasto-plastic constitutive equations
The purpose of this thesis is to set out the results of an investigation into the commonly used methods of performing material update calculations within the framework of the Finite Element Method, as well as an investigation into possible new methods of performing the material update procedures wit...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mechanical Engineering
2016
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613343314870273 |
|---|---|
| access_status_str | Open Access |
| author | Hulley, Derek |
| author2 | Mitchell, Greg |
| author_browse | Hulley, Derek Mitchell, Greg |
| author_facet | Mitchell, Greg Hulley, Derek |
| author_sort | Hulley, Derek |
| collection | Thesis |
| description | The purpose of this thesis is to set out the results of an investigation into the commonly used methods of performing material update calculations within the framework of the Finite Element Method, as well as an investigation into possible new methods of performing the material update procedures within the context of a rate dependent plastic material obeying the Von Mises yield condition. Material update procedures which have been used and analysed frequently are the Generalised Midpoint Algorithm, including the Midpoint Method, the Trapezoidal Rule and the Backward Euler Method with Radial Return. Each method displays its own advantages when applied to different input parameters (being material properties, initial stresses and strains, and increments in time and strain). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/20197 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:38.153Z |
| 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 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:11427/20197 Time intergration schemes for rate dependent elasto-plastic constitutive equations Hulley, Derek Mitchell, Greg Mechanical Engineering The purpose of this thesis is to set out the results of an investigation into the commonly used methods of performing material update calculations within the framework of the Finite Element Method, as well as an investigation into possible new methods of performing the material update procedures within the context of a rate dependent plastic material obeying the Von Mises yield condition. Material update procedures which have been used and analysed frequently are the Generalised Midpoint Algorithm, including the Midpoint Method, the Trapezoidal Rule and the Backward Euler Method with Radial Return. Each method displays its own advantages when applied to different input parameters (being material properties, initial stresses and strains, and increments in time and strain). 2016-07-04T08:44:03Z 2016-07-04T08:44:03Z 1997 Master Thesis Masters MSc http://hdl.handle.net/11427/20197 eng application/pdf Department of Mechanical Engineering Faculty of Engineering and the Built Environment University of Cape Town |
| spellingShingle | Mechanical Engineering Hulley, Derek Time intergration schemes for rate dependent elasto-plastic constitutive equations |
| thesis_degree_str | Master's |
| title | Time intergration schemes for rate dependent elasto-plastic constitutive equations |
| title_full | Time intergration schemes for rate dependent elasto-plastic constitutive equations |
| title_fullStr | Time intergration schemes for rate dependent elasto-plastic constitutive equations |
| title_full_unstemmed | Time intergration schemes for rate dependent elasto-plastic constitutive equations |
| title_short | Time intergration schemes for rate dependent elasto-plastic constitutive equations |
| title_sort | time intergration schemes for rate dependent elasto plastic constitutive equations |
| topic | Mechanical Engineering |
| url | http://hdl.handle.net/11427/20197 |
| work_keys_str_mv | AT hulleyderek timeintergrationschemesforratedependentelastoplasticconstitutiveequations |