{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/7583"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/7583","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Formulations for incremental elastic-plastic analysis and the consolidation of porous media","abstract":"The formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures.","abstract_html":"The formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures.","abstract_has_math":false,"creators":["Bird, Wyndham Wadham"],"institution":"Department of Civil Engineering","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Martin, JB"],"committee_chairs":[],"committee_members":[],"year":1987,"date_issued":"1987","date_published":"1987","updated_at":"2026-07-24T01:33:54Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/7583","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Martin, JB"]},{"key":"dc:creator","label":"Author","values":["Bird, Wyndham Wadham"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-09-22T07:49:40Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-09-22T07:49:40Z"]},{"key":"dc:date.issued","label":"Date","values":["1987"]},{"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":["Doctoral Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD"]}]},{"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/11427/7583"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Includes bibliographical references."]},{"key":"dc:description.abstract","label":"Abstract","values":["The formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures."]},{"key":"dc:title","label":"Title","values":["Formulations for incremental elastic-plastic analysis and the consolidation of porous media"]}]}],"canonical_facts":{"dc:contributor.advisor":["Martin, JB"],"dc:creator":["Bird, Wyndham Wadham"],"dc:date.accessioned":["2014-09-22T07:49:40Z"],"dc:date.available":["2014-09-22T07:49:40Z"],"dc:date.issued":["1987"],"dc:description":["Includes bibliographical references."],"dc:description.abstract":["The formulation and solution of the problem of an elastic-plastic body subject to successive increments of loading is a fundamental problem in plasticity. A variety of powerful iterative techniques are available for the solution of the problem, mostly based on Newton-Raphson methods using an explicit scheme for the integration of the constitutive relations. The procedures in current use can be criticised in that they are essentially heuristic, and they are not fully linked to the governing mechanical principles of the incremental plasticity problem. Recent work aimed at the improvement of the accuracy and stability of the numerical algorithms in plasticity explores the fundamental relationship between the nature of the forward integration algorithm and the mechanical principles of the problem. In this thesis we attempt to advance this understanding. Through the use of an internal variable formulation of the problem, we are able to explore links between a consistent mathematical programming formulation of the incremental problem in plasticity and the conventional Newton-Raphson iterative solution procedures."],"dc:identifier.uri":["http://hdl.handle.net/11427/7583"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Civil Engineering"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Formulations for incremental elastic-plastic analysis and the consolidation of porous media"],"dc:type":["Doctoral Thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["PhD"]},"updated_at":"2026-07-24T01:33:54Z"}