Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Single-crystal plasticity at finite strains: a computational investigation of hardening relations
This dissertation has two main objectives. The first is to develop and implement a numerical algorithm to solve the system of equations that describe single-crystal viscoplasticity under finite strains. The second objective is to use the computer code that is developed to examine three hardening law...
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_ | 1867613325899071488 |
|---|---|
| access_status_str | Open Access |
| author | Povall, Timothy M |
| author2 | Reddy, B Daya |
| author_browse | Povall, Timothy M Reddy, B Daya |
| author_facet | Reddy, B Daya Povall, Timothy M |
| author_sort | Povall, Timothy M |
| collection | Thesis |
| description | This dissertation has two main objectives. The first is to develop and implement a numerical algorithm to solve the system of equations that describe single-crystal viscoplasticity under finite strains. The second objective is to use the computer code that is developed to examine three hardening laws that have been proposed. The first is an isotropic hardening law. The second is a hardening law that is expressed implicitly. The third is a novel hardening law in which the slip resistance is expressed explicitly in terms of the accumulated slip on each slip-system. The numerical method uses a predictor-corrector type algorithm and is coupled with a finite element method. The numerical method is validated by comparing with results from the literature. After calibrating the hardening rules, two different model problems are examined: A spherical indentation problem and a three dimensional shear problem. For both problems, the numerical code is run with the three hardening rules. For each hardening rule three types of crystal are examined: A crystal with only one slip system, a crystal with two slip systems and a front centered cubic (FCC) crystal. All three hardening rules show very similar results. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/16915 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:34:20.437Z |
| 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:11427/16915 Single-crystal plasticity at finite strains: a computational investigation of hardening relations Povall, Timothy M Reddy, B Daya Mathematics and Applied Mathematics This dissertation has two main objectives. The first is to develop and implement a numerical algorithm to solve the system of equations that describe single-crystal viscoplasticity under finite strains. The second objective is to use the computer code that is developed to examine three hardening laws that have been proposed. The first is an isotropic hardening law. The second is a hardening law that is expressed implicitly. The third is a novel hardening law in which the slip resistance is expressed explicitly in terms of the accumulated slip on each slip-system. The numerical method uses a predictor-corrector type algorithm and is coupled with a finite element method. The numerical method is validated by comparing with results from the literature. After calibrating the hardening rules, two different model problems are examined: A spherical indentation problem and a three dimensional shear problem. For both problems, the numerical code is run with the three hardening rules. For each hardening rule three types of crystal are examined: A crystal with only one slip system, a crystal with two slip systems and a front centered cubic (FCC) crystal. All three hardening rules show very similar results. 2016-02-08T14:21:41Z 2016-02-08T14:21:41Z 2013 Master Thesis Masters MSc http://hdl.handle.net/11427/16915 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Povall, Timothy M Single-crystal plasticity at finite strains: a computational investigation of hardening relations |
| thesis_degree_str | Master's |
| title | Single-crystal plasticity at finite strains: a computational investigation of hardening relations |
| title_full | Single-crystal plasticity at finite strains: a computational investigation of hardening relations |
| title_fullStr | Single-crystal plasticity at finite strains: a computational investigation of hardening relations |
| title_full_unstemmed | Single-crystal plasticity at finite strains: a computational investigation of hardening relations |
| title_short | Single-crystal plasticity at finite strains: a computational investigation of hardening relations |
| title_sort | single crystal plasticity at finite strains a computational investigation of hardening relations |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/16915 |
| work_keys_str_mv | AT povalltimothym singlecrystalplasticityatfinitestrainsacomputationalinvestigationofhardeningrelations |