{"id":{"repo_id":"tamu","oai_identifier":"oai:oaktrust.library.tamu.edu:1969.1/4849"},"canonical_url":"https://search.dev.ndltd.org/etd/tamu/oai:oaktrust.library.tamu.edu:1969.1/4849","repository":{"repo_id":"tamu","name":"Texas A&M University","base_url":"https://oaktrust.library.tamu.edu/server/oai/request"},"display":{"title":"B-spline finite elements for plane elasticity problems","abstract":"The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite elements in contrast with the conventional finite elements. This thesis observes that the use of B-spline interpolation functions can reduce the computational cost significantly. It is an efficient technique and can be conveniently implemented into the existing finite element programs.","abstract_html":"The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite elements in contrast with the conventional finite elements. This thesis observes that the use of B-spline interpolation functions can reduce the computational cost significantly. It is an efficient technique and can be conveniently implemented into the existing finite element programs.","abstract_has_math":false,"creators":["Aggarwal, Bhavya"],"institution":"Texas A&M University","degree_name":"Master of Science","degree_level":"Masters","degree_discipline":"Aerospace Engineering","degree_department":null,"school":null,"contributors":[],"advisors":["Whitcomb, John D"],"committee_chairs":[],"committee_members":["Haisler, Walter E","Srinivasa,Arun"],"year":2007,"date_issued":"2007-04-25","date_published":"2007-04-25","updated_at":"2026-08-21T16:48:44Z","subjects":["Finite Elements","B-spline","Plane Elasticity"],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1969.1/4849","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"source_record":{"url":"https://oaktrust.library.tamu.edu/server/oai/request?verb=GetRecord&metadataPrefix=dim&identifier=oai%3Aoaktrust.library.tamu.edu%3A1969.1%2F4849","prefix":"dim"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Whitcomb, John D"]},{"key":"dc:contributor.committeemember","label":"Committee Member","values":["Haisler, Walter E","Srinivasa,Arun"]},{"key":"dc:creator","label":"Author","values":["Aggarwal, Bhavya"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2007-04-25T20:10:12Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2007-04-25T20:10:12Z"]},{"key":"dc:date.issued","label":"Date","values":["2007-04-25"]},{"key":"dc:publisher","label":"Institution","values":["Texas A&M University"]},{"key":"dc:type","label":"Dc Type","values":["Book","Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Aerospace Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Texas A&M University"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Finite Elements","B-spline","Plane Elasticity"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1969.1/4849"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite elements in contrast with the conventional finite elements. This thesis observes that the use of B-spline interpolation functions can reduce the computational cost significantly. It is an efficient technique and can be conveniently implemented into the existing finite element programs."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["electronic"]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["B-spline finite elements for plane elasticity problems"]}]}],"canonical_facts":{"dc:contributor.advisor":["Whitcomb, John D"],"dc:contributor.committeemember":["Haisler, Walter E","Srinivasa,Arun"],"dc:creator":["Aggarwal, Bhavya"],"dc:date.accessioned":["2007-04-25T20:10:12Z"],"dc:date.available":["2007-04-25T20:10:12Z"],"dc:date.issued":["2007-04-25"],"dc:description.abstract":["The finite element method since its development in the 1950’s has been used extensively in solving complex problems involving partial differential equations. The conventional finite element methods use piecewise Lagrange interpolation functions for approximating displacements. The aim of this research is to explore finite element analysis using B-spline interpolation. B-splines are piecewise defined polynomial curves which provide higher continuity of derivatives than piecewise Lagrange interpolation functions. This work focuses on the implementation and comparison of the B-spline finite elements in contrast with the conventional finite elements. This thesis observes that the use of B-spline interpolation functions can reduce the computational cost significantly. It is an efficient technique and can be conveniently implemented into the existing finite element programs."],"dc:format.medium":["electronic"],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://hdl.handle.net/1969.1/4849"],"dc:language.iso":["en_US"],"dc:publisher":["Texas A&M University"],"dc:subject":["Finite Elements","B-spline","Plane Elasticity"],"dc:title":["B-spline finite elements for plane elasticity problems"],"dc:type":["Book","Thesis"],"thesis:degree_discipline":["Aerospace Engineering"],"thesis:degree_level":["Masters"],"thesis:degree_name":["Master of Science"],"thesis:institution_name":["Texas A&M University"]},"updated_at":"2026-08-21T16:48:44Z"}