{"id":{"repo_id":"brazil-uerj","oai_identifier":"oai:pantheon.ufrj.br:11422/3203"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uerj/oai:pantheon.ufrj.br:11422/3203","repository":{"repo_id":"brazil-uerj","name":"Brazil UERJ","base_url":"https://pantheon.ufrj.br/oai/request"},"display":{"title":"Chapas multiplamente conexas (uso de malhas arbitrárias)","abstract":"The plane state of stresses in a multiply connected domain is studied by the Finite Difference method. At first, the formula from the theory of Elasticity are reviewed for this plane stress state problem and methods of solution are presented in Chapter II. In the Chapter III it is shown the peculiar of a multiple connected domain and associated boundary equations are stablished. In the Chapter IV it is presented a simple procedure to write the Laplace's equations in forms of finite differences for irregular meshes. Finally, two exemples for assessing the method efficiency as compared to the finite ellement method and one analytical solution, are briefly discussed in Chapter V. Futhumore, some conclusions are drawn from these results and suggestions to expand the applicability of the present approach are given at the end of this last Chapter.","abstract_html":"The plane state of stresses in a multiply connected domain is studied by the Finite Difference method. At first, the formula from the theory of Elasticity are reviewed for this plane stress state problem and methods of solution are presented in Chapter II. In the Chapter III it is shown the peculiar of a multiple connected domain and associated boundary equations are stablished. In the Chapter IV it is presented a simple procedure to write the Laplace's equations in forms of finite differences for irregular meshes. Finally, two exemples for assessing the method efficiency as compared to the finite ellement method and one analytical solution, are briefly discussed in Chapter V. Futhumore, some conclusions are drawn from these results and suggestions to expand the applicability of the present approach are given at the end of this last Chapter.","abstract_has_math":false,"creators":["Milek, Jorge Luis"],"institution":"Universidade Federal do Rio de Janeiro","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Santos, Sydney Martins Gomes dos"],"committee_chairs":[],"committee_members":[],"year":1981,"date_issued":"1981-11","date_published":"1981-11","updated_at":"2026-07-24T01:15:59Z","subjects":["Engenharia Civil"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11422/3203","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Santos, Sydney Martins Gomes dos"]},{"key":"dc:creator","label":"Author","values":["Milek, Jorge Luis"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2017-11-28T12:49:19Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2026-05-16T03:03:48Z"]},{"key":"dc:date.issued","label":"Date","values":["1981-11"]},{"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/11422/3203"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The plane state of stresses in a multiply connected domain is studied by the Finite Difference method. At first, the formula from the theory of Elasticity are reviewed for this plane stress state problem and methods of solution are presented in Chapter II. In the Chapter III it is shown the peculiar of a multiple connected domain and associated boundary equations are stablished. In the Chapter IV it is presented a simple procedure to write the Laplace's equations in forms of finite differences for irregular meshes. Finally, two exemples for assessing the method efficiency as compared to the finite ellement method and one analytical solution, are briefly discussed in Chapter V. Futhumore, some conclusions are drawn from these results and suggestions to expand the applicability of the present approach are given at the end of this last Chapter."]},{"key":"dc:title","label":"Title","values":["Chapas multiplamente conexas (uso de malhas arbitrárias)"]}]}],"canonical_facts":{"dc:contributor.advisor":["Santos, Sydney Martins Gomes dos"],"dc:creator":["Milek, Jorge Luis"],"dc:date.accessioned":["2017-11-28T12:49:19Z"],"dc:date.available":["2026-05-16T03:03:48Z"],"dc:date.issued":["1981-11"],"dc:description.abstract":["The plane state of stresses in a multiply connected domain is studied by the Finite Difference method. At first, the formula from the theory of Elasticity are reviewed for this plane stress state problem and methods of solution are presented in Chapter II. In the Chapter III it is shown the peculiar of a multiple connected domain and associated boundary equations are stablished. In the Chapter IV it is presented a simple procedure to write the Laplace's equations in forms of finite differences for irregular meshes. Finally, two exemples for assessing the method efficiency as compared to the finite ellement method and one analytical solution, are briefly discussed in Chapter V. Futhumore, some conclusions are drawn from these results and suggestions to expand the applicability of the present approach are given at the end of this last Chapter."],"dc:identifier.uri":["http://hdl.handle.net/11422/3203"],"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":["Chapas multiplamente conexas (uso de malhas arbitrárias)"],"dc:type":["Dissertação"]},"updated_at":"2026-07-24T01:15:59Z"}