Work–energy analysis of granular assemblies validates and calibrates a constitutive model

He, X; Wu, W; Cai, G; Qi, J; Kim, JR; Zhang, D; Jiang, M

Work–energy analysis of granular assemblies validates and calibrates a constitutive model

He, X

Wu, W Cai, G Qi, J Kim, JR Zhang, D Jiang, M

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Publisher:: SPRINGER
Publication Type:: Journal Article
Citation:: Granular Matter, 2020, 22, (1)
Issue Date:: 2020-02-01

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Field	Value	Language
dc.contributor.author	He, X https://orcid.org/0000-0001-5336-3663
dc.contributor.author	Wu, W
dc.contributor.author	Cai, G
dc.contributor.author	Qi, J
dc.contributor.author	Kim, JR
dc.contributor.author	Zhang, D
dc.contributor.author	Jiang, M
dc.date.accessioned	2021-01-29T03:45:28Z
dc.date.available	2021-01-29T03:45:28Z
dc.date.issued	2020-02-01
dc.identifier.citation	Granular Matter, 2020, 22, (1)
dc.identifier.issn	1434-5021
dc.identifier.issn	1434-7636
dc.identifier.uri	http://hdl.handle.net/10453/145650
dc.description.abstract	© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: This study presents a rate-independent constitutive model for granular materials which is based on the analysis of discrete element modelling (DEM) results. We examine the elastic and plastic strain rate at any state of shear, and explore how the plastic strain rate and the stress rate are related to some state variables (e.g. stress, void ratio, etc.). The elastic and plastic strain rate are evaluated by assuming that the rate of conservative energy defined in term of elastic strain rate equals the energy rate from work–energy analysis of granular assemblies. The verification of the theoretical work–energy analysis and the acquire of data regarding the mechanical rates at contacts between grains are done through DEM. It is shown that for a representative element volume of granular materials, the external work rate equals the sum of an elastic energy rate and a dissipation rate at contacts. The work rate is either the product of stress and strain rate or the sum of discrete work rate of external forces. Equations regarding the dilatancy, plastic deviatoric strain rate and stress rate are proposed. In the model, a yield surface is not explicitly defined and the deviatoric stress rate is related to not only the elastic deviatoric strain rate, but also a rate of dilatancy. Simulations show that the predictions match both virtual and Toyoura sand satisfactorily in various shear tests within a board range of densities. Additionally, the calibration of parameters is extremely simple. The treatment of cyclic loading condition is also presented. Graphic abstract: [Figure not available: see fulltext.].
dc.language	English
dc.publisher	SPRINGER
dc.relation.ispartof	Granular Matter
dc.relation.isbasedon	10.1007/s10035-019-0990-7
dc.rights	info:eu-repo/semantics/restrictedAccess
dc.subject	0904 Chemical Engineering, 0905 Civil Engineering, 0913 Mechanical Engineering
dc.subject.classification	Fluids & Plasmas
dc.title	Work–energy analysis of granular assemblies validates and calibrates a constitutive model
dc.type	Journal Article
utslib.citation.volume	22
utslib.for	0904 Chemical Engineering
utslib.for	0905 Civil Engineering
utslib.for	0913 Mechanical Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2021-01-29T03:45:17Z
pubs.issue	1
pubs.publication-status	Published
pubs.volume	22
utslib.citation.issue	1

Abstract:

© 2020, Springer-Verlag GmbH Germany, part of Springer Nature. Abstract: This study presents a rate-independent constitutive model for granular materials which is based on the analysis of discrete element modelling (DEM) results. We examine the elastic and plastic strain rate at any state of shear, and explore how the plastic strain rate and the stress rate are related to some state variables (e.g. stress, void ratio, etc.). The elastic and plastic strain rate are evaluated by assuming that the rate of conservative energy defined in term of elastic strain rate equals the energy rate from work–energy analysis of granular assemblies. The verification of the theoretical work–energy analysis and the acquire of data regarding the mechanical rates at contacts between grains are done through DEM. It is shown that for a representative element volume of granular materials, the external work rate equals the sum of an elastic energy rate and a dissipation rate at contacts. The work rate is either the product of stress and strain rate or the sum of discrete work rate of external forces. Equations regarding the dilatancy, plastic deviatoric strain rate and stress rate are proposed. In the model, a yield surface is not explicitly defined and the deviatoric stress rate is related to not only the elastic deviatoric strain rate, but also a rate of dilatancy. Simulations show that the predictions match both virtual and Toyoura sand satisfactorily in various shear tests within a board range of densities. Additionally, the calibration of parameters is extremely simple. The treatment of cyclic loading condition is also presented. Graphic abstract: [Figure not available: see fulltext.].

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http://hdl.handle.net/10453/145650