Relaxed loading conditions for higher order homogenisation approaches

The present paper deals with the formulation of minimal loading conditions for the application of numerical homogenisation techniques, namely the FE methodology -- Based on the set of volume averaging rules connecting the heterogeneous micro and the homogeneous macro scale, the minimal constraints o...

Full description

Autores:
Jänicke, Ralf
Uribe, David
Ruíz, Óscar E.
Steeb, Holger
Tipo de recurso:
Fecha de publicación:
2011
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
eng
OAI Identifier:
oai:repository.eafit.edu.co:10784/9680
Acceso en línea:
http://hdl.handle.net/10784/9680
Palabra clave:
INTEGRALES DE CAUCHY
DERIVADAS (MATEMÁTICAS)
ECUACIONES DIFERENCIALES
SERIES DE DIRICHLET
DEFORMACIONES (MECÁNICA)
ANÁLISIS NUMÉRICO
Cauchy Integralse
Differential equations
Series, dirichlet
Deformations (mechanics)
Numerical analysis
Cauchy Integralse
Differential equations
Series
dirichlet
Deformations (mechanics)
Numerical analysis
Homogeneización
Límites de Voigt
Rights
License
2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
id REPOEAFIT2_d7cbfd38a663c6c70943fb52b6eab4c3
oai_identifier_str oai:repository.eafit.edu.co:10784/9680
network_acronym_str REPOEAFIT2
network_name_str Repositorio EAFIT
repository_id_str
spelling 2016-11-18T22:13:07Z2011-12-092016-11-18T22:13:07Z1617-7061http://hdl.handle.net/10784/968010.1002/pamm.201110446The present paper deals with the formulation of minimal loading conditions for the application of numerical homogenisation techniques, namely the FE methodology -- Based on the set of volume averaging rules connecting the heterogeneous micro and the homogeneous macro scale, the minimal constraints on the deformation of a micro volume are derived for a classical Cauchy as well as for a micromorphic overall continuum theory -- For both cases, numerical studies are included highlighting the main aspects of the proposed procedureapplication/pdfengWILEY-VCH VerlagPAMM. Proc. Appl. Math. Mech., Volume 11, Issue 1, pp 947-950http://dx.doi.org/10.1002/pamm.2011104462011 Wiley-VCH Verlag GmbH & Co. KGaA, WeinheimAcceso cerradohttp://purl.org/coar/access_right/c_14cbRelaxed loading conditions for higher order homogenisation approachesinfo:eu-repo/semantics/articlearticleinfo:eu-repo/semantics/publishedVersionpublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1INTEGRALES DE CAUCHYDERIVADAS (MATEMÁTICAS)ECUACIONES DIFERENCIALESSERIES DE DIRICHLETDEFORMACIONES (MECÁNICA)ANÁLISIS NUMÉRICOCauchy IntegralseDifferential equationsSeries, dirichletDeformations (mechanics)Numerical analysisCauchy IntegralseDifferential equationsSeriesdirichletDeformations (mechanics)Numerical analysisHomogeneizaciónLímites de VoigtUniversidad EAFIT. Departamento de Ingeniería MecánicaJänicke, RalfUribe, DavidRuíz, Óscar E.Steeb, HolgerLaboratorio CAD/CAM/CAEPAMMPAMM Proceedings in Applied Mathematics and Mechanics111947950PAMM. Proc. Appl. Math. Mech.LICENSElicense.txtlicense.txttext/plain; charset=utf-82556https://repository.eafit.edu.co/bitstreams/9a0d9156-b07c-478b-8c7b-852e57982e9f/download76025f86b095439b7ac65b367055d40cMD51ORIGINALarticulo.htmlarticulo.htmlTexto completotext/html266https://repository.eafit.edu.co/bitstreams/83c1499f-a0af-4b3b-afae-efc129f2e19a/downloadd62ea8f3b73de7c0e5906d1a66cc7632MD53Proc Appl Math Mech - 2011 - J nicke - Relaxed loading conditions for higher order homogenisation approaches.pdfProc Appl Math Mech - 2011 - J nicke - Relaxed loading conditions for higher order homogenisation approaches.pdfapplication/pdf407957https://repository.eafit.edu.co/bitstreams/43cf4078-cb6a-433b-91b4-abba9889d369/downloada54354e333a6547957d9abfd6c5901eeMD5410784/9680oai:repository.eafit.edu.co:10784/96802022-11-08 11:35:14.586open.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co
dc.title.eng.fl_str_mv Relaxed loading conditions for higher order homogenisation approaches
title Relaxed loading conditions for higher order homogenisation approaches
spellingShingle Relaxed loading conditions for higher order homogenisation approaches
INTEGRALES DE CAUCHY
DERIVADAS (MATEMÁTICAS)
ECUACIONES DIFERENCIALES
SERIES DE DIRICHLET
DEFORMACIONES (MECÁNICA)
ANÁLISIS NUMÉRICO
Cauchy Integralse
Differential equations
Series, dirichlet
Deformations (mechanics)
Numerical analysis
Cauchy Integralse
Differential equations
Series
dirichlet
Deformations (mechanics)
Numerical analysis
Homogeneización
Límites de Voigt
title_short Relaxed loading conditions for higher order homogenisation approaches
title_full Relaxed loading conditions for higher order homogenisation approaches
title_fullStr Relaxed loading conditions for higher order homogenisation approaches
title_full_unstemmed Relaxed loading conditions for higher order homogenisation approaches
title_sort Relaxed loading conditions for higher order homogenisation approaches
dc.creator.fl_str_mv Jänicke, Ralf
Uribe, David
Ruíz, Óscar E.
Steeb, Holger
dc.contributor.department.spa.fl_str_mv Universidad EAFIT. Departamento de Ingeniería Mecánica
dc.contributor.author.none.fl_str_mv Jänicke, Ralf
Uribe, David
Ruíz, Óscar E.
Steeb, Holger
dc.contributor.researchgroup.spa.fl_str_mv Laboratorio CAD/CAM/CAE
dc.subject.lemb.spa.fl_str_mv INTEGRALES DE CAUCHY
DERIVADAS (MATEMÁTICAS)
ECUACIONES DIFERENCIALES
SERIES DE DIRICHLET
DEFORMACIONES (MECÁNICA)
ANÁLISIS NUMÉRICO
topic INTEGRALES DE CAUCHY
DERIVADAS (MATEMÁTICAS)
ECUACIONES DIFERENCIALES
SERIES DE DIRICHLET
DEFORMACIONES (MECÁNICA)
ANÁLISIS NUMÉRICO
Cauchy Integralse
Differential equations
Series, dirichlet
Deformations (mechanics)
Numerical analysis
Cauchy Integralse
Differential equations
Series
dirichlet
Deformations (mechanics)
Numerical analysis
Homogeneización
Límites de Voigt
dc.subject.keyword.spa.fl_str_mv Cauchy Integralse
Differential equations
Series, dirichlet
Deformations (mechanics)
Numerical analysis
dc.subject.keyword.eng.fl_str_mv Cauchy Integralse
Differential equations
Series
dirichlet
Deformations (mechanics)
Numerical analysis
dc.subject.keyword..keywor.fl_str_mv Homogeneización
Límites de Voigt
description The present paper deals with the formulation of minimal loading conditions for the application of numerical homogenisation techniques, namely the FE methodology -- Based on the set of volume averaging rules connecting the heterogeneous micro and the homogeneous macro scale, the minimal constraints on the deformation of a micro volume are derived for a classical Cauchy as well as for a micromorphic overall continuum theory -- For both cases, numerical studies are included highlighting the main aspects of the proposed procedure
publishDate 2011
dc.date.issued.none.fl_str_mv 2011-12-09
dc.date.available.none.fl_str_mv 2016-11-18T22:13:07Z
dc.date.accessioned.none.fl_str_mv 2016-11-18T22:13:07Z
dc.type.eng.fl_str_mv info:eu-repo/semantics/article
article
info:eu-repo/semantics/publishedVersion
publishedVersion
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.local.spa.fl_str_mv Artículo
status_str publishedVersion
dc.identifier.issn.none.fl_str_mv 1617-7061
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/10784/9680
dc.identifier.doi.none.fl_str_mv 10.1002/pamm.201110446
identifier_str_mv 1617-7061
10.1002/pamm.201110446
url http://hdl.handle.net/10784/9680
dc.language.iso.eng.fl_str_mv eng
language eng
dc.relation.ispartof.spa.fl_str_mv PAMM. Proc. Appl. Math. Mech., Volume 11, Issue 1, pp 947-950
dc.relation.uri.none.fl_str_mv http://dx.doi.org/10.1002/pamm.201110446
dc.rights.spa.fl_str_mv 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_14cb
dc.rights.local.spa.fl_str_mv Acceso cerrado
rights_invalid_str_mv 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Acceso cerrado
http://purl.org/coar/access_right/c_14cb
dc.format.eng.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv WILEY-VCH Verlag
institution Universidad EAFIT
bitstream.url.fl_str_mv https://repository.eafit.edu.co/bitstreams/9a0d9156-b07c-478b-8c7b-852e57982e9f/download
https://repository.eafit.edu.co/bitstreams/83c1499f-a0af-4b3b-afae-efc129f2e19a/download
https://repository.eafit.edu.co/bitstreams/43cf4078-cb6a-433b-91b4-abba9889d369/download
bitstream.checksum.fl_str_mv 76025f86b095439b7ac65b367055d40c
d62ea8f3b73de7c0e5906d1a66cc7632
a54354e333a6547957d9abfd6c5901ee
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Institucional Universidad EAFIT
repository.mail.fl_str_mv repositorio@eafit.edu.co
_version_ 1814110496480034816