Single-crystal plasticity at finite strains: a computational investigation of hardening relations

 

Show simple item record

dc.contributor.advisor Reddy, B Daya en_ZA
dc.contributor.author Povall, Timothy M en_ZA
dc.date.accessioned 2016-02-08T14:21:41Z
dc.date.available 2016-02-08T14:21:41Z
dc.date.issued 2013 en_ZA
dc.identifier.citation Povall, T. 2013. Single-crystal plasticity at finite strains: a computational investigation of hardening relations. University of Cape Town. en_ZA
dc.identifier.uri http://hdl.handle.net/11427/16915
dc.description.abstract 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. en_ZA
dc.language.iso eng en_ZA
dc.subject.other Mathematics and Applied Mathematics en_ZA
dc.title Single-crystal plasticity at finite strains: a computational investigation of hardening relations en_ZA
dc.type Master Thesis
uct.type.publication Research en_ZA
uct.type.resource Thesis en_ZA
dc.publisher.institution University of Cape Town
dc.publisher.faculty Faculty of Science en_ZA
dc.publisher.department Department of Mathematics and Applied Mathematics en_ZA
dc.type.qualificationlevel Masters
dc.type.qualificationname MSc en_ZA
uct.type.filetype Text
uct.type.filetype Image
dc.identifier.apacitation Povall, T. M. (2013). <i>Single-crystal plasticity at finite strains: a computational investigation of hardening relations</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/16915 en_ZA
dc.identifier.chicagocitation Povall, Timothy M. <i>"Single-crystal plasticity at finite strains: a computational investigation of hardening relations."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2013. http://hdl.handle.net/11427/16915 en_ZA
dc.identifier.vancouvercitation Povall TM. Single-crystal plasticity at finite strains: a computational investigation of hardening relations. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2013 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/16915 en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Povall, Timothy M AB - 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. DA - 2013 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2013 T1 - Single-crystal plasticity at finite strains: a computational investigation of hardening relations TI - Single-crystal plasticity at finite strains: a computational investigation of hardening relations UR - http://hdl.handle.net/11427/16915 ER - en_ZA


Files in this item

This item appears in the following Collection(s)

Show simple item record