Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation

Detalhes bibliográficos
Autor(a) principal: Dias Junior, Afonso
Data de Publicação: 2017
Outros Autores: Albuquerque, Eder Lima, Reis, Adriana dos
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Interdisciplinar de Pesquisa em Engenharia
Texto Completo: https://periodicos.unb.br/index.php/ripe/article/view/21594
Resumo: In this work we will present the computation of moments in the anisotropic plane elasticity fast multipole formulation. Fundamental solutions of plane elasticity are represented by complex functions from the classical 2D elasticity theory. The Multipole Expansion for kernels U (displacement field) and T (traction field) will be computed using Taylor series expansion. The convergence of the series expansion to the fundamental solutions is analyzed considering different numbers of series terms and different distance from the source point to the field point. Moments will be used to evaluate integrals of influence matrices when elements are far away from the source point, whereas the conventional approach will be applied to evaluate the integrals in order to compare results obtained by the multipole expansion.
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spelling Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulationFast Multipole Method. Boundary Element Method. Anisotropic plane elasticity.In this work we will present the computation of moments in the anisotropic plane elasticity fast multipole formulation. Fundamental solutions of plane elasticity are represented by complex functions from the classical 2D elasticity theory. The Multipole Expansion for kernels U (displacement field) and T (traction field) will be computed using Taylor series expansion. The convergence of the series expansion to the fundamental solutions is analyzed considering different numbers of series terms and different distance from the source point to the field point. Moments will be used to evaluate integrals of influence matrices when elements are far away from the source point, whereas the conventional approach will be applied to evaluate the integrals in order to compare results obtained by the multipole expansion.Programa de Pós-Graduação em Integridade de Materiais da Engenharia2017-01-19info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.unb.br/index.php/ripe/article/view/2159410.26512/ripe.v2i6.21594Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 6 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (I); 152-169Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 6 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (I); 152-1692447-6102reponame:Revista Interdisciplinar de Pesquisa em Engenhariainstname:Universidade de Brasília (UnB)instacron:UNBenghttps://periodicos.unb.br/index.php/ripe/article/view/21594/19908Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPEinfo:eu-repo/semantics/openAccessDias Junior, AfonsoAlbuquerque, Eder LimaReis, Adriana dos2019-06-07T18:14:58Zoai:ojs.pkp.sfu.ca:article/21594Revistahttps://periodicos.unb.br/index.php/ripePUBhttps://periodicos.unb.br/index.php/ripe/oaianflor@unb.br2447-61022447-6102opendoar:2019-06-07T18:14:58Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)false
dc.title.none.fl_str_mv Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
title Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
spellingShingle Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
Dias Junior, Afonso
Fast Multipole Method. Boundary Element Method. Anisotropic plane elasticity.
title_short Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
title_full Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
title_fullStr Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
title_full_unstemmed Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
title_sort Computation of Moments in the Anisotropic Plane Elasticity Fast Multipole formulation
author Dias Junior, Afonso
author_facet Dias Junior, Afonso
Albuquerque, Eder Lima
Reis, Adriana dos
author_role author
author2 Albuquerque, Eder Lima
Reis, Adriana dos
author2_role author
author
dc.contributor.author.fl_str_mv Dias Junior, Afonso
Albuquerque, Eder Lima
Reis, Adriana dos
dc.subject.por.fl_str_mv Fast Multipole Method. Boundary Element Method. Anisotropic plane elasticity.
topic Fast Multipole Method. Boundary Element Method. Anisotropic plane elasticity.
description In this work we will present the computation of moments in the anisotropic plane elasticity fast multipole formulation. Fundamental solutions of plane elasticity are represented by complex functions from the classical 2D elasticity theory. The Multipole Expansion for kernels U (displacement field) and T (traction field) will be computed using Taylor series expansion. The convergence of the series expansion to the fundamental solutions is analyzed considering different numbers of series terms and different distance from the source point to the field point. Moments will be used to evaluate integrals of influence matrices when elements are far away from the source point, whereas the conventional approach will be applied to evaluate the integrals in order to compare results obtained by the multipole expansion.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-19
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/21594
10.26512/ripe.v2i6.21594
url https://periodicos.unb.br/index.php/ripe/article/view/21594
identifier_str_mv 10.26512/ripe.v2i6.21594
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.unb.br/index.php/ripe/article/view/21594/19908
dc.rights.driver.fl_str_mv Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2019 Revista Interdisciplinar de Pesquisa em Engenharia - RIPE
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Programa de Pós-Graduação em Integridade de Materiais da Engenharia
publisher.none.fl_str_mv Programa de Pós-Graduação em Integridade de Materiais da Engenharia
dc.source.none.fl_str_mv Revista Interdisciplinar de Pesquisa em Engenharia; Vol. 2 No. 6 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (I); 152-169
Revista Interdisciplinar de Pesquisa em Engenharia; v. 2 n. 6 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (I); 152-169
2447-6102
reponame:Revista Interdisciplinar de Pesquisa em Engenharia
instname:Universidade de Brasília (UnB)
instacron:UNB
instname_str Universidade de Brasília (UnB)
instacron_str UNB
institution UNB
reponame_str Revista Interdisciplinar de Pesquisa em Engenharia
collection Revista Interdisciplinar de Pesquisa em Engenharia
repository.name.fl_str_mv Revista Interdisciplinar de Pesquisa em Engenharia - Universidade de Brasília (UnB)
repository.mail.fl_str_mv anflor@unb.br
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