Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Friction models in the solution of nonstationary contact problems
Bibliography: pages 82-83.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2016
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613341845815296 |
|---|---|
| access_status_str | Open Access |
| author | Colville, Kevin William |
| author2 | Ronda, Jacek |
| author_browse | Colville, Kevin William Ronda, Jacek |
| author_facet | Ronda, Jacek Colville, Kevin William |
| author_sort | Colville, Kevin William |
| collection | Thesis |
| description | Bibliography: pages 82-83. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/17334 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:36.552Z |
| 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 Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/17334 Friction models in the solution of nonstationary contact problems Colville, Kevin William Ronda, Jacek Applied Mathematics Bibliography: pages 82-83. In most implementations of the finite element method for the solution of contact problems the model of friction used is the classic Amontons-Coulomb. This dissertation is an attempt to rectify the current situation by considering four more advanced friction models, and coding them in FORTRAN for use with the finite element program ABAQUS. The new models are: a quasi-steady-state sliding model proposed by Zhang, Moslehy and Rice; a nonlinear pressure-dependent model proposed by Wriggers, vu Van and Stein; and a model that includes a film of lubricant proposed by Wilson, Hsu and Huang. The friction models are described in detail, including the algorithmic implementation. The contact problem is then formulated in the Total Lagrangian and Updated Lagrangian formulations for contact between an elastic-plastic (Mises plasticity) body and a rigid tool. The variational (weak) form of the formulation is given and this is then discretised by the finite element method. To test and compare the models three common metal forming processes are simulated: hemispherical punching of a disk, two-dimensional plane strain and three-dimensional cold rolling of a strip, and axisymmetric cup deep-drawing. The results are presented in the form of contour plots of the second invariant of stress (Mises), and the plastic yield and maximum stress. Also graphs for the thickness strain are given. These results are presented for each combination of friction model and process to allow easy comparison of frictional behaviour. 2016-02-29T12:00:59Z 2016-02-29T12:00:59Z 1993 Master Thesis Masters MSc http://hdl.handle.net/11427/17334 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Applied Mathematics Colville, Kevin William Friction models in the solution of nonstationary contact problems |
| thesis_degree_str | Master's |
| title | Friction models in the solution of nonstationary contact problems |
| title_full | Friction models in the solution of nonstationary contact problems |
| title_fullStr | Friction models in the solution of nonstationary contact problems |
| title_full_unstemmed | Friction models in the solution of nonstationary contact problems |
| title_short | Friction models in the solution of nonstationary contact problems |
| title_sort | friction models in the solution of nonstationary contact problems |
| topic | Applied Mathematics |
| url | http://hdl.handle.net/11427/17334 |
| work_keys_str_mv | AT colvillekevinwilliam frictionmodelsinthesolutionofnonstationarycontactproblems |