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

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dc.contributor.advisorReddy, B Dayaen_ZA
dc.contributor.authorPovall, Timothy Men_ZA
dc.date.accessioned2016-02-08T14:21:41Z
dc.date.available2016-02-08T14:21:41Z
dc.date.issued2013en_ZA
dc.description.abstractThis 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.identifier.apacitationPovall, 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/11427/16915en_ZA
dc.identifier.chicagocitationPovall, 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/11427/16915en_ZA
dc.identifier.citationPovall, T. 2013. Single-crystal plasticity at finite strains: a computational investigation of hardening relations. University of Cape Town.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
dc.identifier.urihttp://hdl.handle.net/11427/16915
dc.identifier.vancouvercitationPovall 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/11427/16915en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleSingle-crystal plasticity at finite strains: a computational investigation of hardening relationsen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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