Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples

In this study, based on the Orowan equation and the principle of Bergstrom dislocation evolution, the plastic mechanical response of single crystalline micropillars is investigated by considering dislocation evolution. According to the single-arm source model, a physically revised Peirce-Asaro-Needl...

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Autores principales:	Bo PAN, Yoji SHIBUTANI, Hiro TANAKA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2016
Materias:	bergstrom dislocation evolution orowan equation size effect constitutive equation elastic-plastic deformation Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/b92fcca6c1f84cde9db314fb96f6c9de
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spelling	oai:doaj.org-article:b92fcca6c1f84cde9db314fb96f6c9de2021-11-26T06:53:45ZDislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples2187-974510.1299/mej.15-00602https://doaj.org/article/b92fcca6c1f84cde9db314fb96f6c9de2016-01-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/4/3_15-00602/_pdf/-char/enhttps://doaj.org/toc/2187-9745In this study, based on the Orowan equation and the principle of Bergstrom dislocation evolution, the plastic mechanical response of single crystalline micropillars is investigated by considering dislocation evolution. According to the single-arm source model, a physically revised Peirce-Asaro-Needleman (PAN) hardening model is proposed that can describe size-dependent hardening flow. The dislocation evolution parameters greatly affect the size-dependent plastic behavior of the single crystalline micropillars. Linking to the crystal plasticity finite element (CPFE) method, a physical plastic constitutive model with the framework of the CPFE method is proposed to solve the size-dependent boundary value problem. Compared with the results based on the original PAN hardening model, the proposed constitutive model can provide mechanical responses in different sizes, depending on the shear strain in each slip plane. If the non-friction condition between the rigid punch and the top surface of the pillar under uniaxial compression is considered, the results show that the shear band of the pillar mainly results from shear deformation on the slip plane with the maximum Schmid factor. Otherwise, the actual shear band deformation of the micropillars is complicated and combined with the other slip planes, that is, a multislip system. The results also indicate that friction affects size-dependent hardening.Bo PANYoji SHIBUTANIHiro TANAKAThe Japan Society of Mechanical Engineersarticlebergstrom dislocation evolutionorowan equationsize effectconstitutive equationelastic-plastic deformationMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 4, Pp 15-00602-15-00602 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	bergstrom dislocation evolution orowan equation size effect constitutive equation elastic-plastic deformation Mechanical engineering and machinery TJ1-1570
spellingShingle	bergstrom dislocation evolution orowan equation size effect constitutive equation elastic-plastic deformation Mechanical engineering and machinery TJ1-1570 Bo PAN Yoji SHIBUTANI Hiro TANAKA Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
description	In this study, based on the Orowan equation and the principle of Bergstrom dislocation evolution, the plastic mechanical response of single crystalline micropillars is investigated by considering dislocation evolution. According to the single-arm source model, a physically revised Peirce-Asaro-Needleman (PAN) hardening model is proposed that can describe size-dependent hardening flow. The dislocation evolution parameters greatly affect the size-dependent plastic behavior of the single crystalline micropillars. Linking to the crystal plasticity finite element (CPFE) method, a physical plastic constitutive model with the framework of the CPFE method is proposed to solve the size-dependent boundary value problem. Compared with the results based on the original PAN hardening model, the proposed constitutive model can provide mechanical responses in different sizes, depending on the shear strain in each slip plane. If the non-friction condition between the rigid punch and the top surface of the pillar under uniaxial compression is considered, the results show that the shear band of the pillar mainly results from shear deformation on the slip plane with the maximum Schmid factor. Otherwise, the actual shear band deformation of the micropillars is complicated and combined with the other slip planes, that is, a multislip system. The results also indicate that friction affects size-dependent hardening.
format	article
author	Bo PAN Yoji SHIBUTANI Hiro TANAKA
author_facet	Bo PAN Yoji SHIBUTANI Hiro TANAKA
author_sort	Bo PAN
title	Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
title_short	Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
title_full	Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
title_fullStr	Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
title_full_unstemmed	Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
title_sort	dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/b92fcca6c1f84cde9db314fb96f6c9de
work_keys_str_mv	AT bopan dislocationbasedconstitutivemodelofcrystalplasticityforthesizeeffectofsinglecrystallinemicropillarsamples AT yojishibutani dislocationbasedconstitutivemodelofcrystalplasticityforthesizeeffectofsinglecrystallinemicropillarsamples AT hirotanaka dislocationbasedconstitutivemodelofcrystalplasticityforthesizeeffectofsinglecrystallinemicropillarsamples
_version_	1718409742029684736

Dislocation-based constitutive model of crystal plasticity for the size effect of single crystalline micropillar samples

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