{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3378"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3378","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Método dos Elementos de Contorno para elasticidade linear bidimensional","abstract":"Starting from Betti's reciprocity theorem or from the application of the weighted residual method and using Kelvin's fundamental solution, a boundary integral equation is obtained, which is discretized, for computational implementation, using isoparametric linear elements. Applying the discretized integral equation at the boundary nodal points, a system of linear equations is obtained, having boundary displacements and/or tractions as unknowns. The traction discontinuity problem is considered by introducing addicional equations obtained from the elastic invariant properties, for the cases of corner points with prescribed displacements only. For body forces arising from a fixed gravitational field, two formulations are utilized for transforming the domain integrals into boundary integrals. A formulation which can consider a domain divided into aligned sub-regions is derived. Some applications are performed in order to obtain numerical results and to evaluate the performance of the formulation developed.","abstract_html":"Starting from Betti's reciprocity theorem or from the application of the weighted residual method and using Kelvin's fundamental solution, a boundary integral equation is obtained, which is discretized, for computational implementation, using isoparametric linear elements. Applying the discretized integral equation at the boundary nodal points, a system of linear equations is obtained, having boundary displacements and/or tractions as unknowns. The traction discontinuity problem is considered by introducing addicional equations obtained from the elastic invariant properties, for the cases of corner points with prescribed displacements only. For body forces arising from a fixed gravitational field, two formulations are utilized for transforming the domain integrals into boundary integrals. A formulation which can consider a domain divided into aligned sub-regions is derived. Some applications are performed in order to obtain numerical results and to evaluate the performance of the formulation developed.","abstract_has_math":false,"creators":["Moreira, Márcio Sampaio Sarmet"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Wrobel, Luiz Carlos"],"committee_chairs":[],"committee_members":[],"year":1983,"date_issued":"1983-02","date_published":"1983-02","updated_at":"2026-07-24T01:16:01Z","subjects":["Engenharia Civil"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3378","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Wrobel, Luiz Carlos"]},{"key":"dc:creator","label":"Author","values":["Moreira, Márcio Sampaio Sarmet"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-01-03T15:40:02Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:04:24Z"]},{"key":"dc:date.issued","label":"Date","values":["1983-02"]},{"key":"dc:publisher","label":"Institution","values":["Universidade Federal do Rio de Janeiro"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Engenharia Civil"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11422/3378"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Starting from Betti's reciprocity theorem or from the application of the weighted residual method and using Kelvin's fundamental solution, a boundary integral equation is obtained, which is discretized, for computational implementation, using isoparametric linear elements. Applying the discretized integral equation at the boundary nodal points, a system of linear equations is obtained, having boundary displacements and/or tractions as unknowns. The traction discontinuity problem is considered by introducing addicional equations obtained from the elastic invariant properties, for the cases of corner points with prescribed displacements only. For body forces arising from a fixed gravitational field, two formulations are utilized for transforming the domain integrals into boundary integrals. A formulation which can consider a domain divided into aligned sub-regions is derived. Some applications are performed in order to obtain numerical results and to evaluate the performance of the formulation developed."]},{"key":"dc:title","label":"Title","values":["Método dos Elementos de Contorno para elasticidade linear bidimensional"]}]}],"canonical_facts":{"dc:contributor.advisor":["Wrobel, Luiz Carlos"],"dc:creator":["Moreira, Márcio Sampaio Sarmet"],"dc:date.accessioned":["2018-01-03T15:40:02Z"],"dc:date.available":["2026-05-16T03:04:24Z"],"dc:date.issued":["1983-02"],"dc:description.abstract":["Starting from Betti's reciprocity theorem or from the application of the weighted residual method and using Kelvin's fundamental solution, a boundary integral equation is obtained, which is discretized, for computational implementation, using isoparametric linear elements. Applying the discretized integral equation at the boundary nodal points, a system of linear equations is obtained, having boundary displacements and/or tractions as unknowns. The traction discontinuity problem is considered by introducing addicional equations obtained from the elastic invariant properties, for the cases of corner points with prescribed displacements only. For body forces arising from a fixed gravitational field, two formulations are utilized for transforming the domain integrals into boundary integrals. A formulation which can consider a domain divided into aligned sub-regions is derived. Some applications are performed in order to obtain numerical results and to evaluate the performance of the formulation developed."],"dc:identifier.uri":["http://hdl.handle.net/11422/3378"],"dc:language":["por"],"dc:publisher":["Universidade Federal do Rio de Janeiro"],"dc:publisher.department":["Instituto Alberto Luiz Coimbra de Pós-Graduação e Pesquisa de Engenharia"],"dc:rights":["Acesso Aberto"],"dc:subject":["Engenharia Civil"],"dc:title":["Método dos Elementos de Contorno para elasticidade linear bidimensional"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:01Z"}