{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3634"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3634","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Uma aplicação do Método dos Elementos de Contorno a problemas da elastodinâmica no domínio da frequência","abstract":"The Direct Boundary Element Method is applied to solve general elastodynamic problems for homogeneous, isotropic and linearly elastic bodies. The Fourier Integral Transform technique is used to transform an elliptic partial differential equation with respect to time in an equation solvable in the frequency domain. This equation can be recast, through the weighted residual method, into an integral equation which, via a limiting process, yields the boundary integral equation. The numerical formulation for the steady-state case is presented. The numerical integration (Gaussian Quadrature) is employed to evaluate all integrals except those in the Cauchy principal value sense which are performed analytically. The third order tensors needed for the evaluation of internal stresses are also derived. Finally, three examples are presented. The results are in excellent agreement with numerical, theoretical and other authors’ results. The Boundary Element Method is shown to be an economical method for a wide range of practical problems.","abstract_html":"The Direct Boundary Element Method is applied to solve general elastodynamic problems for homogeneous, isotropic and linearly elastic bodies. The Fourier Integral Transform technique is used to transform an elliptic partial differential equation with respect to time in an equation solvable in the frequency domain. This equation can be recast, through the weighted residual method, into an integral equation which, via a limiting process, yields the boundary integral equation. The numerical formulation for the steady-state case is presented. The numerical integration (Gaussian Quadrature) is employed to evaluate all integrals except those in the Cauchy principal value sense which are performed analytically. The third order tensors needed for the evaluation of internal stresses are also derived. Finally, three examples are presented. The results are in excellent agreement with numerical, theoretical and other authors’ results. The Boundary Element Method is shown to be an economical method for a wide range of practical problems.","abstract_has_math":false,"creators":["Dumans, Marise Castro Rebelo Fontenelle"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Telles, José Cláudio de Faria"],"committee_chairs":[],"committee_members":[],"year":1985,"date_issued":"1985-11","date_published":"1985-11","updated_at":"2026-07-24T01:16:07Z","subjects":["Engenharia Civil"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3634","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Telles, José Cláudio de Faria"]},{"key":"dc:creator","label":"Author","values":["Dumans, Marise Castro Rebelo Fontenelle"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2018-02-21T14:06:33Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:05:17Z"]},{"key":"dc:date.issued","label":"Date","values":["1985-11"]},{"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/11422/3634"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The Direct Boundary Element Method is applied to solve general elastodynamic problems for homogeneous, isotropic and linearly elastic bodies. The Fourier Integral Transform technique is used to transform an elliptic partial differential equation with respect to time in an equation solvable in the frequency domain. This equation can be recast, through the weighted residual method, into an integral equation which, via a limiting process, yields the boundary integral equation. The numerical formulation for the steady-state case is presented. The numerical integration (Gaussian Quadrature) is employed to evaluate all integrals except those in the Cauchy principal value sense which are performed analytically. The third order tensors needed for the evaluation of internal stresses are also derived. Finally, three examples are presented. The results are in excellent agreement with numerical, theoretical and other authors’ results. The Boundary Element Method is shown to be an economical method for a wide range of practical problems."]},{"key":"dc:title","label":"Title","values":["Uma aplicação do Método dos Elementos de Contorno a problemas da elastodinâmica no domínio da frequência"]}]}],"canonical_facts":{"dc:contributor.advisor":["Telles, José Cláudio de Faria"],"dc:creator":["Dumans, Marise Castro Rebelo Fontenelle"],"dc:date.accessioned":["2018-02-21T14:06:33Z"],"dc:date.available":["2026-05-16T03:05:17Z"],"dc:date.issued":["1985-11"],"dc:description.abstract":["The Direct Boundary Element Method is applied to solve general elastodynamic problems for homogeneous, isotropic and linearly elastic bodies. The Fourier Integral Transform technique is used to transform an elliptic partial differential equation with respect to time in an equation solvable in the frequency domain. This equation can be recast, through the weighted residual method, into an integral equation which, via a limiting process, yields the boundary integral equation. The numerical formulation for the steady-state case is presented. The numerical integration (Gaussian Quadrature) is employed to evaluate all integrals except those in the Cauchy principal value sense which are performed analytically. The third order tensors needed for the evaluation of internal stresses are also derived. Finally, three examples are presented. The results are in excellent agreement with numerical, theoretical and other authors’ results. The Boundary Element Method is shown to be an economical method for a wide range of practical problems."],"dc:identifier.uri":["http://hdl.handle.net/11422/3634"],"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":["Uma aplicação do Método dos Elementos de Contorno a problemas da elastodinâmica no domínio da frequência"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:16:07Z"}