Publication
An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity
| Summary: | 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. |
|---|---|
| Main Authors: | Davoudi-Kia,Abdullah |
| Other Authors: | Fallah,N. |
| Subject: | finite volume method meshless method material discontinuity enrichment technique Voronoi tessellation |
| Year: | 2018 |
| Country: | Brazil |
| Document type: | article |
| Access type: | open access |
| Associated institution: | IBICT |
| Language: | English |
| Origin: | Oasisbr |
| _version_ | 1871511031419764736 |
|---|---|
| author | Davoudi-Kia,Abdullah |
| author2 | Fallah,N. |
| author2_role | author |
| author_facet | Davoudi-Kia,Abdullah Fallah,N. |
| author_role | author |
| country_str | BR |
| creators_json_txt | [{\"Person.name\":\"Davoudi-Kia,Abdullah\"},{\"Person.name\":\"Fallah,N.\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | Davoudi-Kia,Abdullah Fallah,N. |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | finite volume method meshless method material discontinuity enrichment technique Voronoi tessellation |
| datacite.titles.title.fl_str_mv | An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity |
| dc.creator.none.fl_str_mv | Davoudi-Kia,Abdullah Fallah,N. |
| dc.format.none.fl_str_mv | text/html |
| dc.identifier.none.fl_str_mv | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Associação Brasileira de Ciências Mecânicas |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| 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 |
| dc.subject.none.fl_str_mv | finite volume method meshless method material discontinuity enrichment technique Voronoi tessellation |
| dc.title.fl_str_mv | An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticity |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| 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. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | oasisbr_1864ea657c448cff22a888e34b7d32fd |
| identifier.url.fl_str_mv | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502 |
| inst_facet_str | urn:organizationAcronym:oasisbr{{{_:::_}}}IBICT |
| instacron_str | OASISBR |
| institution | IBICT |
| instname_str | IBICT |
| language | eng |
| network_acronym_str | oasisbr |
| network_name_str | Oasisbr |
| oai_identifier_str | oai:scielo:S1679-78252018000200502 |
| organization_str_mv | urn:organizationAcronym:oasisbr |
| person_str_mv | Davoudi-Kia,Abdullah Fallah,N. |
| publishDate | 2018 |
| publisher.none.fl_str_mv | Associação Brasileira de Ciências Mecânicas |
| repo_facet_str | urn:repositoryAcronym:oasisbr{{{_:::_}}}Oasisbr |
| reponame_str | Oasisbr |
| repository_id_str | urn:repositoryAcronym:oasisbr |
| service_str_mv | urn:repositoryAcronym:oasisbr |
| spelling | An enriched meshless finite volume method for the modeling of material discontinuity problems in 2D elasticityDavoudi-Kia,AbdullahFallah,N.finite volume methodmeshless methodmaterial discontinuityenrichment techniqueVoronoi tessellationopen accesshttp://purl.org/coar/access_right/c_abf2http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502URLhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502URLHasVersion2018-01-01Abstract 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.engtext/htmlAssociação Brasileira de Ciências MecânicasLatin 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:ABCMjournal articlehttp://purl.org/coar/resource_type/c_6501literatureVoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85 |
| 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 |
| status | SINGLETON |
| status_str | VoR |
| subject.fl_str_mv | finite volume method meshless method material discontinuity enrichment technique Voronoi tessellation |
| title | 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_short | 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 |
| topic | finite volume method meshless method material discontinuity enrichment technique Voronoi tessellation |
| topic_facet | finite volume method meshless method material discontinuity enrichment technique Voronoi tessellation |
| url | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000200502 |
| visible | 1 |
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