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Simulations of multi-states properties of granular materials based on non-linear granular elasticity and the MiDi rheological relation
Fei, Minglong1; Sun, Qicheng1; Xu, Xiaorong1; Jin, Feng1; Zhou, Gordon G. D.2,3
Corresponding AuthorSun, Qicheng
2016
Source PublicationPOWDER TECHNOLOGY
ISSN0032-5910
EISSN1873-328X
Volume301Pages:1092-1102
SubtypeArticle
AbstractGranular materials exhibit multi-state behaviors, i.e. solid-like or/and liquid-like mechanical states, depending on the magnitudes of solid fraction and shear stress, as often observed in debris flows in mountainous areas of southwestern China. Appropriate constitutive relations describing this multi-state behavior and in-between transitions, and feasible numerical schemes are of great importance for the studies of granular flows and the predictions of such debris flows. In this work, we present a constitutive relation model to cover these multistate behaviors by dividing the total stress into elastic and kinetic parts. The elastic stress is deduced from a non-linear elastic energy model we proposed for granular solid recently, the elastic stability criteria, which are based on the ratio of elastic strain invariants, are obtained according to the stability conditions of thermodynamic equilibrium. On the other hand, the kinetic stress is described by using the MiDi rheological relation. Large deformation problems are inviolably encountered in multi-state behaviors of granular materials. In this work, the Material Point Method (MPM) is further developed and simulations are carried out in three cases, namely a steady granular flow, granular pile collapse, and biaxial compression. Results of these three simulations agree well with previously published results. This indicates that both the constitutive model and the MPM method we developed in this study works well for granular materials in multi-states as well as during state transitions. Furthermore, we discuss the finding of a decrease in the effective friction coefficient near the jamming state in granular pile collapse, and also the results reported in recent publications. (C) 2016 Elsevier B.V. All rights reserved.
KeywordGranular Materials Elastic Stability Multi-state Behaviors Material Point Method
WOS HeadingsScience & Technology ; Technology
DOI10.1016/j.powtec.2016.07.048
WOS Subject ExtendedEngineering
Indexed BySCI
WOS KeywordKINETIC-THEORY ; COLUMN COLLAPSE ; FLOWS ; DENSE ; SPHERES ; MOTION ; PLANE ; MEDIA ; MODEL ; MASS
Language英语
Quartile2区
TOP
WOS SubjectEngineering, Chemical
WOS IDWOS:000384785300116
Funding OrganizationNational Natural Science Foundation of China(11572178) ; Institute of Mountain Hazards and Environment (IMHE), Chinese Academy of Sciences
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.imde.ac.cn/handle/131551/17665
Collection山地灾害与地表过程重点实验室
Affiliation1.Tsinghua Univ, State Key Lab Hydrosci & Engn, Beijing 100084, Peoples R China
2.Chinese Acad Sci, Inst Mt Hazards & Environm, Chengdu, Peoples R China
3.Minist Water Conservancy & Power, Chengdu, Peoples R China
Recommended Citation
GB/T 7714
Fei, Minglong,Sun, Qicheng,Xu, Xiaorong,et al. Simulations of multi-states properties of granular materials based on non-linear granular elasticity and the MiDi rheological relation[J]. POWDER TECHNOLOGY,2016,301:1092-1102.
APA Fei, Minglong,Sun, Qicheng,Xu, Xiaorong,Jin, Feng,&Zhou, Gordon G. D..(2016).Simulations of multi-states properties of granular materials based on non-linear granular elasticity and the MiDi rheological relation.POWDER TECHNOLOGY,301,1092-1102.
MLA Fei, Minglong,et al."Simulations of multi-states properties of granular materials based on non-linear granular elasticity and the MiDi rheological relation".POWDER TECHNOLOGY 301(2016):1092-1102.
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