Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application

For unidirectional loaded specimens consisting of isotropic-homogeneous ductile materials, an analytical elastoplastic model for the equivalent stress and strain of the representative volume element at the median point were derived based on energy density equivalence and dimensional analysis. Then,...

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Autores principales:	Guangzhao Han, Lixun Cai, Maobo Huang, Xiaokun Liu
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Energy density equivalence Analytical model Stress–strain relation Representative volume element Small specimens Material testing Materials of engineering and construction. Mechanics of materials TA401-492
Acceso en línea:	https://doaj.org/article/53cfde4db8a44c8baea9a728510aca64
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spelling	oai:doaj.org-article:53cfde4db8a44c8baea9a728510aca642021-11-14T04:28:30ZAnalytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application0264-127510.1016/j.matdes.2021.110217https://doaj.org/article/53cfde4db8a44c8baea9a728510aca642021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0264127521007723https://doaj.org/toc/0264-1275For unidirectional loaded specimens consisting of isotropic-homogeneous ductile materials, an analytical elastoplastic model for the equivalent stress and strain of the representative volume element at the median point were derived based on energy density equivalence and dimensional analysis. Then, a data processing method for various specimen types was proposed to obtain the equivalent stress–strain in real time without presetting the constitutive parameters. Finite element analyses of six specimen types and experiments with four selected specimen types were conducted to verify the method. The results show that the stress–strain curves obtained using this method were consistent with the preset stress–strain curves in the finite element analysis and with the standard tensile results. Using the proposed model and relevant data processing method to obtain the stress–strain curves is effective and, with the theoretical basis, could promote the application of non-tradition and small specimens for obtaining the material mechanical properties.Guangzhao HanLixun CaiMaobo HuangXiaokun LiuElsevierarticleEnergy density equivalenceAnalytical modelStress–strain relationRepresentative volume elementSmall specimensMaterial testingMaterials of engineering and construction. Mechanics of materialsTA401-492ENMaterials & Design, Vol 212, Iss , Pp 110217- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Energy density equivalence Analytical model Stress–strain relation Representative volume element Small specimens Material testing Materials of engineering and construction. Mechanics of materials TA401-492
spellingShingle	Energy density equivalence Analytical model Stress–strain relation Representative volume element Small specimens Material testing Materials of engineering and construction. Mechanics of materials TA401-492 Guangzhao Han Lixun Cai Maobo Huang Xiaokun Liu Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
description	For unidirectional loaded specimens consisting of isotropic-homogeneous ductile materials, an analytical elastoplastic model for the equivalent stress and strain of the representative volume element at the median point were derived based on energy density equivalence and dimensional analysis. Then, a data processing method for various specimen types was proposed to obtain the equivalent stress–strain in real time without presetting the constitutive parameters. Finite element analyses of six specimen types and experiments with four selected specimen types were conducted to verify the method. The results show that the stress–strain curves obtained using this method were consistent with the preset stress–strain curves in the finite element analysis and with the standard tensile results. Using the proposed model and relevant data processing method to obtain the stress–strain curves is effective and, with the theoretical basis, could promote the application of non-tradition and small specimens for obtaining the material mechanical properties.
format	article
author	Guangzhao Han Lixun Cai Maobo Huang Xiaokun Liu
author_facet	Guangzhao Han Lixun Cai Maobo Huang Xiaokun Liu
author_sort	Guangzhao Han
title	Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
title_short	Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
title_full	Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
title_fullStr	Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
title_full_unstemmed	Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
title_sort	analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/53cfde4db8a44c8baea9a728510aca64
work_keys_str_mv	AT guangzhaohan analyticalelastoplasticmodelforstressandstrainoftheequivalentrepresentativevolumeelementandmaterialtestingapplication AT lixuncai analyticalelastoplasticmodelforstressandstrainoftheequivalentrepresentativevolumeelementandmaterialtestingapplication AT maobohuang analyticalelastoplasticmodelforstressandstrainoftheequivalentrepresentativevolumeelementandmaterialtestingapplication AT xiaokunliu analyticalelastoplasticmodelforstressandstrainoftheequivalentrepresentativevolumeelementandmaterialtestingapplication
_version_	1718430012385787904

Analytical elastoplastic model for stress and strain of the equivalent representative volume element and material testing application

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