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Determining Nonlocal Granular Rheology from Discrete Element Simulations.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Determining Nonlocal Granular Rheology from Discrete Element Simulations./
作者:	Kim, Seongmin.
面頁冊數:	1 online resource (124 pages)
附註:	Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
Contained By:	Dissertations Abstracts International83-06B.
標題:	Applied physics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28768248click for full text (PQDT)
ISBN:	9798496526036

Determining Nonlocal Granular Rheology from Discrete Element Simulations.
Kim, Seongmin.

Determining Nonlocal Granular Rheology from Discrete Element Simulations. - 1 online resource (124 pages)

Source: Dissertations Abstracts International, Volume: 83-06, Section: B.

Thesis (Ph.D.)--Harvard University, 2021.

Includes bibliographical references

We determine the constitutive equation of simple granular materials considering them as continuous fluids. Based on discrete element simulations, we propose two rheological models with different Rivlin-Ericksen tensor orders. In the first-order model, we identify that rescaling the shear-to-stress ratio µ by a power function of dimensionless granular temperature Θ makes the data from many different flow geometries collapse to a single curve which depends only on the inertial number I. The basic power-law structure appears robust to varying surface friction in both 2D and 3D systems. We also observe that ϕ is a function of µ, which connects our rheology to kinetic theory and the nonlocal granular fluidity model. In order to describe stress anisotropy and secondary flows, we extend our model by including the second-order Rivlin Ericksen tensor. Using DEM data, we find the equations for three model parameters µ1, µ2, and µ3 as functions of I and Θ. We observe similar power-law scaling in µ1 and µ2 while µ3 distributes near zero for small I. The first and second normal stress differences N1 and N2 are also measured and discussed. We validate the models by running finite difference method simulations of inclined chute flows. We show that the second-order model predicts all the velocity components including secondary flows while the first-order model predicts velocity in the downstream direction only. Both models successfully predict the exponentially decaying velocity as Θ is included in the model parameters.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798496526036Subjects--Topical Terms:

3343996
Applied physics.
Subjects--Index Terms:

Amorphous materialIndex Terms--Genre/Form:

542853
Electronic books.

Determining Nonlocal Granular Rheology from Discrete Element Simulations.
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500 $a Source: Dissertations Abstracts International, Volume: 83-06, Section: B.
500 $a Advisor: Kamrin, Ken.
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504 $a Includes bibliographical references
520 $a We determine the constitutive equation of simple granular materials considering them as continuous fluids. Based on discrete element simulations, we propose two rheological models with different Rivlin-Ericksen tensor orders. In the first-order model, we identify that rescaling the shear-to-stress ratio µ by a power function of dimensionless granular temperature Θ makes the data from many different flow geometries collapse to a single curve which depends only on the inertial number I. The basic power-law structure appears robust to varying surface friction in both 2D and 3D systems. We also observe that ϕ is a function of µ, which connects our rheology to kinetic theory and the nonlocal granular fluidity model. In order to describe stress anisotropy and secondary flows, we extend our model by including the second-order Rivlin Ericksen tensor. Using DEM data, we find the equations for three model parameters µ1, µ2, and µ3 as functions of I and Θ. We observe similar power-law scaling in µ1 and µ2 while µ3 distributes near zero for small I. The first and second normal stress differences N1 and N2 are also measured and discussed. We validate the models by running finite difference method simulations of inclined chute flows. We show that the second-order model predicts all the velocity components including secondary flows while the first-order model predicts velocity in the downstream direction only. Both models successfully predict the exponentially decaying velocity as Θ is included in the model parameters.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Applied physics. $3 3343996
650 4 $a Mechanical engineering. $3 649730
650 4 $a Geophysics. $3 535228
650 4 $a Engineering. $3 586835
653 $a Amorphous material
653 $a Granular flow
653 $a Granular material
653 $a Granular rheology
653 $a Nonlocal rheology
653 $a Soft matter
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690 $a 0373
690 $a 0467
690 $a 0537
710 2 $a ProQuest Information and Learning Co. $3 783688
710 2 $a Harvard University. $b Engineering and Applied Sciences - Applied Physics. $3 3171855
773 0 $t Dissertations Abstracts International $g 83-06B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28768248 $z click for full text (PQDT)