{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/7577"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/7577","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"The use of a non-classical friction law in finite-element analysis of contact problems","abstract":"In this thesis a description is given of the numerical treatment of contact problems in elasticity. Frictional effects on the contact surface are modelled by using a nonlocal, nonlinear friction law. Features of the boundary value problem, which merit special attention, are the presence of inequality constraints and the fact that the contact surface is not known a priori. Finite element approximations based on a variational formulation of the problem, developed by Oden and Pires, are used to generate a discretised version. The solution procedure incorporates an iterative algorithm for the determination of the extent of the contact surface. Alternative techniques for the evaluation of the frictional stresses on the contact surface are described and numerical examples are presented.","abstract_html":"In this thesis a description is given of the numerical treatment of contact problems in elasticity. Frictional effects on the contact surface are modelled by using a nonlocal, nonlinear friction law. Features of the boundary value problem, which merit special attention, are the presence of inequality constraints and the fact that the contact surface is not known a priori. Finite element approximations based on a variational formulation of the problem, developed by Oden and Pires, are used to generate a discretised version. The solution procedure incorporates an iterative algorithm for the determination of the extent of the contact surface. Alternative techniques for the evaluation of the frictional stresses on the contact surface are described and numerical examples are presented.","abstract_has_math":false,"creators":["Bolt, Andrew Clifford"],"institution":"Department of Civil Engineering","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Reddy, B Daya"],"committee_chairs":[],"committee_members":[],"year":1983,"date_issued":"1983","date_published":"1983","updated_at":"2026-07-22T22:23:31Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/7577","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Reddy, B Daya"]},{"key":"dc:creator","label":"Author","values":["Bolt, Andrew Clifford"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-09-22T07:49:24Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-09-22T07:49:24Z"]},{"key":"dc:date.issued","label":"Date","values":["1983"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Civil Engineering"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Master Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Masters"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["MSc"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/7577"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Bibliography: leaves 82-84."]},{"key":"dc:description.abstract","label":"Abstract","values":["In this thesis a description is given of the numerical treatment of contact problems in elasticity. Frictional effects on the contact surface are modelled by using a nonlocal, nonlinear friction law. Features of the boundary value problem, which merit special attention, are the presence of inequality constraints and the fact that the contact surface is not known a priori. Finite element approximations based on a variational formulation of the problem, developed by Oden and Pires, are used to generate a discretised version. The solution procedure incorporates an iterative algorithm for the determination of the extent of the contact surface. Alternative techniques for the evaluation of the frictional stresses on the contact surface are described and numerical examples are presented."]},{"key":"dc:title","label":"Title","values":["The use of a non-classical friction law in finite-element analysis of contact problems"]}]}],"canonical_facts":{"dc:contributor.advisor":["Reddy, B Daya"],"dc:creator":["Bolt, Andrew Clifford"],"dc:date.accessioned":["2014-09-22T07:49:24Z"],"dc:date.available":["2014-09-22T07:49:24Z"],"dc:date.issued":["1983"],"dc:description":["Bibliography: leaves 82-84."],"dc:description.abstract":["In this thesis a description is given of the numerical treatment of contact problems in elasticity. Frictional effects on the contact surface are modelled by using a nonlocal, nonlinear friction law. Features of the boundary value problem, which merit special attention, are the presence of inequality constraints and the fact that the contact surface is not known a priori. Finite element approximations based on a variational formulation of the problem, developed by Oden and Pires, are used to generate a discretised version. The solution procedure incorporates an iterative algorithm for the determination of the extent of the contact surface. Alternative techniques for the evaluation of the frictional stresses on the contact surface are described and numerical examples are presented."],"dc:identifier.uri":["http://hdl.handle.net/11427/7577"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Civil Engineering"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["The use of a non-classical friction law in finite-element analysis of contact problems"],"dc:type":["Master Thesis"],"dc:type.qualificationlevel":["Masters"],"dc:type.qualificationname":["MSc"]},"updated_at":"2026-07-22T22:23:31Z"}