An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity

Detalhes bibliográficos
Autor(a) principal: Davoudi-Kia,Abdullah
Data de Publicação: 2018
Outros Autores: Fallah,N.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502
Resumo: Abstract A 2D formulation for incorporating material discontinuities into the meshless finite volume method is proposed. In the proposed formulation, the moving least squares approximation space is enriched by local continuous functions that contain discontinuity in the first derivative at the location of the material interfaces. The formulation utilizes space-filling Voronoi-shaped finite volumes in order to more intelligently model irregular geometries. Numerical experiments for elastostatic problems in heterogeneous media are presented. The results are compared with the corresponding solutions obtained using the standard meshless finite volume method and element free Galerkin method in order to highlight the improvements achieved by the proposed formulation. It is demonstrated that the enriched meshless finite volume method could alleviate the expecting oscillations in derivative fields around the material discontinuities. The results have revealed the potential of the proposed method in studying the mechanics of heterogeneous media with complex micro-structures.
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spelling An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticityfinite volume methodmeshless methodmaterial discontinuityenrichment techniqueVoronoi tessellationAbstract A 2D formulation for incorporating material discontinuities into the meshless finite volume method is proposed. In the proposed formulation, the moving least squares approximation space is enriched by local continuous functions that contain discontinuity in the first derivative at the location of the material interfaces. The formulation utilizes space-filling Voronoi-shaped finite volumes in order to more intelligently model irregular geometries. Numerical experiments for elastostatic problems in heterogeneous media are presented. The results are compared with the corresponding solutions obtained using the standard meshless finite volume method and element free Galerkin method in order to highlight the improvements achieved by the proposed formulation. It is demonstrated that the enriched meshless finite volume method could alleviate the expecting oscillations in derivative fields around the material discontinuities. The results have revealed the potential of the proposed method in studying the mechanics of heterogeneous media with complex micro-structures.Associação Brasileira de Ciências Mecânicas2018-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502Latin American Journal of Solids and Structures v.15 n.2 2018reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78254121info:eu-repo/semantics/openAccessDavoudi-Kia,AbdullahFallah,N.eng2018-09-13T00:00:00Zoai:scielo:S1679-78252018000200502Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2018-09-13T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
title An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
spellingShingle An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
Davoudi-Kia,Abdullah
finite volume method
meshless method
material discontinuity
enrichment technique
Voronoi tessellation
title_short An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
title_full An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
title_fullStr An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
title_full_unstemmed An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
title_sort An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
author Davoudi-Kia,Abdullah
author_facet Davoudi-Kia,Abdullah
Fallah,N.
author_role author
author2 Fallah,N.
author2_role author
dc.contributor.author.fl_str_mv Davoudi-Kia,Abdullah
Fallah,N.
dc.subject.por.fl_str_mv finite volume method
meshless method
material discontinuity
enrichment technique
Voronoi tessellation
topic finite volume method
meshless method
material discontinuity
enrichment technique
Voronoi tessellation
description Abstract A 2D formulation for incorporating material discontinuities into the meshless finite volume method is proposed. In the proposed formulation, the moving least squares approximation space is enriched by local continuous functions that contain discontinuity in the first derivative at the location of the material interfaces. The formulation utilizes space-filling Voronoi-shaped finite volumes in order to more intelligently model irregular geometries. Numerical experiments for elastostatic problems in heterogeneous media are presented. The results are compared with the corresponding solutions obtained using the standard meshless finite volume method and element free Galerkin method in order to highlight the improvements achieved by the proposed formulation. It is demonstrated that the enriched meshless finite volume method could alleviate the expecting oscillations in derivative fields around the material discontinuities. The results have revealed the potential of the proposed method in studying the mechanics of heterogeneous media with complex micro-structures.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78254121
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.15 n.2 2018
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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