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Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation

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Resumo:The details concerning the implementation of the yield criterion developed by Cazacu et al. 2006 (CPB06), which accounts for both tension–compression asymmetry and orthotropy of the plastic flow, in the fully implicit FE solver DD3IMP (contraction of ‘Deep Drawing 3-D IMPlicit') are presented in this work. The implemented constitutive model is extensively described, including the analytical first and second order derivatives required to the stress update algorithm. A set of anisotropy parameters describing the mechanical behavior of two metallic materials at room temperature, namely Zirconium and AZ31-Mg alloy, are identified with the DD3MAT (contraction for ‘Deep Drawing 3-D MATerial’) in-house code (Alves, 2004) [2]. The anisotropy parameters are identified for both the CPB06 and the Cazacu and Barlat (2001) (CB2001) yield criteria, in order to emphasize the importance and role of the strength differential effect. The results clearly show that the CPB06 yield criterion is able to accurately describe both the in-plane anisotropy and tension–compression asymmetry, as well a different anisotropic behavior in uniaxial tension and uniaxial compression. The numerical simulation of a four-point bending test is performed, considering different orientations of the beam, i.e. of the hard/soft to deform direction relatively to the load direction, allowing to validate the implementation. The results obtained with the CPB06 show its ability to describe with accuracy the strain fields in the beam's central cross-section, the distribution of the tensile and compressive layers and, consequently, the shift of the neutral layer. The comparison with the results obtained with CB2001 indicates that the strength differential effect affects the final deformed shape of the beam, particularly for materials exhibiting strong tension–compression asymmetry.
Autores principais:Barros, P. D.
Outros Autores:Alves, J. L.; Oliveira, M. C.; Menezes, L. F.
Assunto:Tension–compression asymmetry Yield criterion Sheet metal forming Finite element implementation CPB06 DD3IMP Engenharia e Tecnologia::Engenharia Mecânica
Ano:2016
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade do Minho
Idioma:inglês
Origem:RepositóriUM - Universidade do Minho
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author Barros, P. D.
author2 Alves, J. L.
Oliveira, M. C.
Menezes, L. F.
author2_role author
author
author
author_facet Barros, P. D.
Alves, J. L.
Oliveira, M. C.
Menezes, L. F.
author_role author
contributor_name_str_mv RepositóriUM - Universidade do Minho
country_str PT
creators_json_txt [{\"Person.name\":\"Barros, P. D.\"},{\"Person.name\":\"Alves, J. L.\"},{\"Person.name\":\"Oliveira, M. C.\"},{\"Person.name\":\"Menezes, L. F.\"}]
datacite.contributors.contributor.contributorName.fl_str_mv RepositóriUM - Universidade do Minho
datacite.creators.creator.creatorName.fl_str_mv Barros, P. D.
Alves, J. L.
Oliveira, M. C.
Menezes, L. F.
datacite.date.Accepted.fl_str_mv 2016-01-01T00:00:00Z
datacite.date.available.fl_str_mv 2018-03-23T13:30:21Z
datacite.date.embargoed.fl_str_mv 2018-03-23T13:30:21Z
datacite.rights.fl_str_mv http://purl.org/coar/access_right/c_abf2
datacite.subjects.subject.fl_str_mv Tension–compression asymmetry
Yield criterion
Sheet metal forming
Finite element implementation
CPB06
DD3IMP
Engenharia e Tecnologia::Engenharia Mecânica
datacite.titles.title.fl_str_mv Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
dc.contributor.none.fl_str_mv RepositóriUM - Universidade do Minho
dc.creator.none.fl_str_mv Barros, P. D.
Alves, J. L.
Oliveira, M. C.
Menezes, L. F.
dc.date.Accepted.fl_str_mv 2016-01-01T00:00:00Z
dc.date.available.fl_str_mv 2018-03-23T13:30:21Z
dc.date.embargoed.fl_str_mv 2018-03-23T13:30:21Z
dc.format.none.fl_str_mv application/pdf
dc.identifier.none.fl_str_mv https://hdl.handle.net/1822/53330
dc.language.none.fl_str_mv eng
dc.publisher.none.fl_str_mv Elsevier
dc.rights.none.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.subject.none.fl_str_mv Tension–compression asymmetry
Yield criterion
Sheet metal forming
Finite element implementation
CPB06
DD3IMP
Engenharia e Tecnologia::Engenharia Mecânica
dc.title.fl_str_mv Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
dc.type.none.fl_str_mv http://purl.org/coar/resource_type/c_6501
description The details concerning the implementation of the yield criterion developed by Cazacu et al. 2006 (CPB06), which accounts for both tension–compression asymmetry and orthotropy of the plastic flow, in the fully implicit FE solver DD3IMP (contraction of ‘Deep Drawing 3-D IMPlicit') are presented in this work. The implemented constitutive model is extensively described, including the analytical first and second order derivatives required to the stress update algorithm. A set of anisotropy parameters describing the mechanical behavior of two metallic materials at room temperature, namely Zirconium and AZ31-Mg alloy, are identified with the DD3MAT (contraction for ‘Deep Drawing 3-D MATerial’) in-house code (Alves, 2004) [2]. The anisotropy parameters are identified for both the CPB06 and the Cazacu and Barlat (2001) (CB2001) yield criteria, in order to emphasize the importance and role of the strength differential effect. The results clearly show that the CPB06 yield criterion is able to accurately describe both the in-plane anisotropy and tension–compression asymmetry, as well a different anisotropic behavior in uniaxial tension and uniaxial compression. The numerical simulation of a four-point bending test is performed, considering different orientations of the beam, i.e. of the hard/soft to deform direction relatively to the load direction, allowing to validate the implementation. The results obtained with the CPB06 show its ability to describe with accuracy the strain fields in the beam's central cross-section, the distribution of the tensile and compressive layers and, consequently, the shift of the neutral layer. The comparison with the results obtained with CB2001 indicates that the strength differential effect affects the final deformed shape of the beam, particularly for materials exhibiting strong tension–compression asymmetry.
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id rum_d2fe605ce2dbb9e5bfb0c2f1823c3cee
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instname_str Universidade do Minho
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oai_identifier_str oai:repositorium.uminho.pt:1822/53330
organization_str_mv urn:organizationAcronym:repositorium
person_str_mv Barros, P. D.
Alves, J. L.
Oliveira, M. C.
Menezes, L. F.
publishDate 2016
publisher.none.fl_str_mv Elsevier
reponame_str RepositóriUM - Universidade do Minho
repository_id_str urn:repositoryAcronym:rum
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spelling engElsevierporThe details concerning the implementation of the yield criterion developed by Cazacu et al. 2006 (CPB06), which accounts for both tension–compression asymmetry and orthotropy of the plastic flow, in the fully implicit FE solver DD3IMP (contraction of ‘Deep Drawing 3-D IMPlicit') are presented in this work. The implemented constitutive model is extensively described, including the analytical first and second order derivatives required to the stress update algorithm. A set of anisotropy parameters describing the mechanical behavior of two metallic materials at room temperature, namely Zirconium and AZ31-Mg alloy, are identified with the DD3MAT (contraction for ‘Deep Drawing 3-D MATerial’) in-house code (Alves, 2004) [2]. The anisotropy parameters are identified for both the CPB06 and the Cazacu and Barlat (2001) (CB2001) yield criteria, in order to emphasize the importance and role of the strength differential effect. The results clearly show that the CPB06 yield criterion is able to accurately describe both the in-plane anisotropy and tension–compression asymmetry, as well a different anisotropic behavior in uniaxial tension and uniaxial compression. The numerical simulation of a four-point bending test is performed, considering different orientations of the beam, i.e. of the hard/soft to deform direction relatively to the load direction, allowing to validate the implementation. The results obtained with the CPB06 show its ability to describe with accuracy the strain fields in the beam's central cross-section, the distribution of the tensile and compressive layers and, consequently, the shift of the neutral layer. The comparison with the results obtained with CB2001 indicates that the strength differential effect affects the final deformed shape of the beam, particularly for materials exhibiting strong tension–compression asymmetry.application/pdfporModeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validationBarros, P. D.Alves, J. L.Oliveira, M. C.Menezes, L. F.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISSNIsPartOf0020-7403DOIIsPartOf10.1016/j.ijmecsci.2016.05.0202018-03-23T13:30:21Z20162016-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/53330http://purl.org/coar/access_right/c_abf2open accessTension–compression asymmetryYield criterionSheet metal formingFinite element implementationCPB06DD3IMPhttp://www.oecd.org/science/inno/38235147.pdfFields of Science and Technology (FOS)Engenharia e Tecnologia::Engenharia Mecânica2352316 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/8f1ea2e0-b8a6-42f0-81d6-42a31409152a/download
spellingShingle Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
Barros, P. D.
Tension–compression asymmetry
Yield criterion
Sheet metal forming
Finite element implementation
CPB06
DD3IMP
Engenharia e Tecnologia::Engenharia Mecânica
status SINGLETON
subject.fl_str_mv Tension–compression asymmetry
Yield criterion
Sheet metal forming
Finite element implementation
CPB06
DD3IMP
subject.other.fl_str_mv Engenharia e Tecnologia::Engenharia Mecânica
title Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
title_full Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
title_fullStr Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
title_full_unstemmed Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
title_short Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
title_sort Modeling of tension–compression asymmetry and orthotropy on metallic materials: numerical implementation and validation
topic Tension–compression asymmetry
Yield criterion
Sheet metal forming
Finite element implementation
CPB06
DD3IMP
Engenharia e Tecnologia::Engenharia Mecânica
topic_facet Tension–compression asymmetry
Yield criterion
Sheet metal forming
Finite element implementation
CPB06
DD3IMP
Engenharia e Tecnologia::Engenharia Mecânica
url https://hdl.handle.net/1822/53330
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