A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.enganabound.2018.10.018 http://hdl.handle.net/11449/187081 |
Resumo: | A boundary element formulation to obtain the constitutive response of heterogeneous microstructures is proposed, considering a RVE-based multiscale theory. The sub-region technique is adopted to model the RVE (Representative Volume Element), where voids and inclusions can be defined inside the matrix and different elastic properties and constitutive models can be assumed for each phase. Triangular cells are adopted to approximate the dissipative forces over the RVE domain, where they are assumed constant. After a strain vector is imposed to the microstructure boundary, its elastic forces field is obtained and the respective strain field computed. Then, according to the RVE-based multiscale theory, the RVE equilibrium problem must be solved what requires an iterative procedure to find the displacement fluctuations field that auto-equilibrates the microstructure stress field. After the RVE solution, the boundary tractions must be recalculated to consider the displacement fluctuations field as well as the dissipative forces. Then, from the boundary tractions the homogenized stress vector can be computed. The homogenized constitutive tensor is evaluated considering the constitutive tensors of all cell nodes and also the consistent tangent operator. To validate the proposed model, the homogenized responses of different microstructures are compared to the responses obtained via finite element model. |
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Repositório Institucional da UNESP |
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A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomenaBoundary elementsHomogenization techniquesMulti-scale approachPlasticityRVEZoned platesA boundary element formulation to obtain the constitutive response of heterogeneous microstructures is proposed, considering a RVE-based multiscale theory. The sub-region technique is adopted to model the RVE (Representative Volume Element), where voids and inclusions can be defined inside the matrix and different elastic properties and constitutive models can be assumed for each phase. Triangular cells are adopted to approximate the dissipative forces over the RVE domain, where they are assumed constant. After a strain vector is imposed to the microstructure boundary, its elastic forces field is obtained and the respective strain field computed. Then, according to the RVE-based multiscale theory, the RVE equilibrium problem must be solved what requires an iterative procedure to find the displacement fluctuations field that auto-equilibrates the microstructure stress field. After the RVE solution, the boundary tractions must be recalculated to consider the displacement fluctuations field as well as the dissipative forces. Then, from the boundary tractions the homogenized stress vector can be computed. The homogenized constitutive tensor is evaluated considering the constitutive tensors of all cell nodes and also the consistent tangent operator. To validate the proposed model, the homogenized responses of different microstructures are compared to the responses obtained via finite element model.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Civil Engineering Department Federal University of Goiás (UFG) – Regional Catalão, Av. Dr. Lamartine Pinto de Avelar, 1120, Setor Universitário- CEPCivil Engineering Department São Paulo State University – UNESP, Al. Bahia, 550Civil Engineering Department São Paulo State University – UNESP, Al. Bahia, 550CNPq: 302841/2014-8Universidade Federal de Goiás (UFG)Universidade Estadual Paulista (Unesp)Fernandes, Gabriela R.Crozariol, Luis Henrique R. [UNESP]Furtado, Amanda S.Santos, Matheus C.2019-10-06T15:24:54Z2019-10-06T15:24:54Z2019-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1-22http://dx.doi.org/10.1016/j.enganabound.2018.10.018Engineering Analysis with Boundary Elements, v. 99, p. 1-22.0955-7997http://hdl.handle.net/11449/18708110.1016/j.enganabound.2018.10.0182-s2.0-85056835024Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEngineering Analysis with Boundary Elementsinfo:eu-repo/semantics/openAccess2021-10-23T00:57:09Zoai:repositorio.unesp.br:11449/187081Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T19:00:57.220384Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
title |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
spellingShingle |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena Fernandes, Gabriela R. Boundary elements Homogenization techniques Multi-scale approach Plasticity RVE Zoned plates |
title_short |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
title_full |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
title_fullStr |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
title_full_unstemmed |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
title_sort |
A 2D boundary element formulation to model the constitutive behavior of heterogeneous microstructures considering dissipative phenomena |
author |
Fernandes, Gabriela R. |
author_facet |
Fernandes, Gabriela R. Crozariol, Luis Henrique R. [UNESP] Furtado, Amanda S. Santos, Matheus C. |
author_role |
author |
author2 |
Crozariol, Luis Henrique R. [UNESP] Furtado, Amanda S. Santos, Matheus C. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade Federal de Goiás (UFG) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Fernandes, Gabriela R. Crozariol, Luis Henrique R. [UNESP] Furtado, Amanda S. Santos, Matheus C. |
dc.subject.por.fl_str_mv |
Boundary elements Homogenization techniques Multi-scale approach Plasticity RVE Zoned plates |
topic |
Boundary elements Homogenization techniques Multi-scale approach Plasticity RVE Zoned plates |
description |
A boundary element formulation to obtain the constitutive response of heterogeneous microstructures is proposed, considering a RVE-based multiscale theory. The sub-region technique is adopted to model the RVE (Representative Volume Element), where voids and inclusions can be defined inside the matrix and different elastic properties and constitutive models can be assumed for each phase. Triangular cells are adopted to approximate the dissipative forces over the RVE domain, where they are assumed constant. After a strain vector is imposed to the microstructure boundary, its elastic forces field is obtained and the respective strain field computed. Then, according to the RVE-based multiscale theory, the RVE equilibrium problem must be solved what requires an iterative procedure to find the displacement fluctuations field that auto-equilibrates the microstructure stress field. After the RVE solution, the boundary tractions must be recalculated to consider the displacement fluctuations field as well as the dissipative forces. Then, from the boundary tractions the homogenized stress vector can be computed. The homogenized constitutive tensor is evaluated considering the constitutive tensors of all cell nodes and also the consistent tangent operator. To validate the proposed model, the homogenized responses of different microstructures are compared to the responses obtained via finite element model. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-10-06T15:24:54Z 2019-10-06T15:24:54Z 2019-02-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/j.enganabound.2018.10.018 Engineering Analysis with Boundary Elements, v. 99, p. 1-22. 0955-7997 http://hdl.handle.net/11449/187081 10.1016/j.enganabound.2018.10.018 2-s2.0-85056835024 |
url |
http://dx.doi.org/10.1016/j.enganabound.2018.10.018 http://hdl.handle.net/11449/187081 |
identifier_str_mv |
Engineering Analysis with Boundary Elements, v. 99, p. 1-22. 0955-7997 10.1016/j.enganabound.2018.10.018 2-s2.0-85056835024 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Engineering Analysis with Boundary Elements |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
1-22 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129011787759616 |