{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/18465"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/18465","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Deformation theory analysis of a dynamically loaded rigid-plastic cantilever","abstract":"Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place.","abstract_html":"Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place.","abstract_has_math":false,"creators":["Liebenberg, Franciscus Xavierius"],"institution":"Department of Civil Engineering","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Martin, J B"],"committee_chairs":[],"committee_members":[],"year":1980,"date_issued":"1980","date_published":"1980","updated_at":"2026-07-22T22:23:47Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/18465","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Martin, J B"]},{"key":"dc:creator","label":"Author","values":["Liebenberg, Franciscus Xavierius"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2016-04-01T06:45:47Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2016-04-01T06:45:47Z"]},{"key":"dc:date.issued","label":"Date","values":["1980"]},{"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/11427/18465"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place."]},{"key":"dc:title","label":"Title","values":["Deformation theory analysis of a dynamically loaded rigid-plastic cantilever"]}]}],"canonical_facts":{"dc:contributor.advisor":["Martin, J B"],"dc:creator":["Liebenberg, Franciscus Xavierius"],"dc:date.accessioned":["2016-04-01T06:45:47Z"],"dc:date.available":["2016-04-01T06:45:47Z"],"dc:date.issued":["1980"],"dc:description.abstract":["Taya and Mura (1974) introduced a new thought into rigid-plastic approximate methods by presenting what was claimed to be an extension of Hamilton's Principle (normally considered to be restricted to conservative systems) to rigid-plastic structural dynamics. A comment by Professor A.R.S. Ponter, however, has led to the present study. Professor Ponter queried whether Taya and Mura had indeed extended Hamilton's Principle; it could equally well be interpreted that in the limited applications which they considered they had replaced the usual non-holonomic viscous rigid-plastic relation by a holonomic deformation theory or non-linear elastic relation. This interpretation can be made because Taya and Mura did not consider any applications in which unloading took place."],"dc:identifier.uri":["http://hdl.handle.net/11427/18465"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Civil Engineering"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Deformation theory analysis of a dynamically loaded rigid-plastic cantilever"],"dc:type":["Master Thesis"],"dc:type.qualificationlevel":["Masters"],"dc:type.qualificationname":["MSc"]},"updated_at":"2026-07-22T22:23:47Z"}