Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model

The kinetic sieving mechanism is a well-known continuum method for modelling granular size segregation phenomena, typically solved for steady-state chute flows. In this thesis, we develop a model to include normal confining pressure dependence, time-dependence and evolving velocity profiles thro...

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Main Author: Zhang, Jiaxin
Format: Thesis (University of Nottingham only)
Language:English
Published: 2024
Subjects:
Online Access:https://eprints.nottingham.ac.uk/77432/
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author Zhang, Jiaxin
author_facet Zhang, Jiaxin
author_sort Zhang, Jiaxin
building Nottingham Research Data Repository
collection Online Access
description The kinetic sieving mechanism is a well-known continuum method for modelling granular size segregation phenomena, typically solved for steady-state chute flows. In this thesis, we develop a model to include normal confining pressure dependence, time-dependence and evolving velocity profiles through the grain body. This enabled more sophisticated granular behaviours and feed-backs to be explored - in particular, those relevant to cyclic loading of soils through e.g. wind turbine foundations. An iterative expansion approach is proposed to self-expand the classic bi-disperse or tri-disperse segregation problem towards arbitrarily poly-disperse systems, with minimal change of input parameters and data structures. Under pair-wise stress partition and segregation relationships, behaviour can be directly linked to size ratios. Simulations show the dependence on particle size distribution alongside the controlling non-dimensional parameters: inter-particle drag, diffusion rate and confining pressure. The final goal of this project was to couple particle crushing with the validated poly-disperse segregation model. After exploring possible ways of incorporating breakage, solid volume fraction re-distribution was tested in a 10-population problem with clear feed-backs from the prescribed crushing.
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format Thesis (University of Nottingham only)
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institution University of Nottingham Malaysia Campus
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language English
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spelling nottingham-774322024-07-18T04:40:18Z https://eprints.nottingham.ac.uk/77432/ Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model Zhang, Jiaxin The kinetic sieving mechanism is a well-known continuum method for modelling granular size segregation phenomena, typically solved for steady-state chute flows. In this thesis, we develop a model to include normal confining pressure dependence, time-dependence and evolving velocity profiles through the grain body. This enabled more sophisticated granular behaviours and feed-backs to be explored - in particular, those relevant to cyclic loading of soils through e.g. wind turbine foundations. An iterative expansion approach is proposed to self-expand the classic bi-disperse or tri-disperse segregation problem towards arbitrarily poly-disperse systems, with minimal change of input parameters and data structures. Under pair-wise stress partition and segregation relationships, behaviour can be directly linked to size ratios. Simulations show the dependence on particle size distribution alongside the controlling non-dimensional parameters: inter-particle drag, diffusion rate and confining pressure. The final goal of this project was to couple particle crushing with the validated poly-disperse segregation model. After exploring possible ways of incorporating breakage, solid volume fraction re-distribution was tested in a 10-population problem with clear feed-backs from the prescribed crushing. 2024-07-18 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en cc_by https://eprints.nottingham.ac.uk/77432/1/Jiaxin_Thesis_with_UoN_template__correction_%20final.pdf Zhang, Jiaxin (2024) Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model. PhD thesis, University of Nottingham. granular segregation breakage cyclic loading
spellingShingle granular segregation
breakage
cyclic loading
Zhang, Jiaxin
Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
title Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
title_full Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
title_fullStr Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
title_full_unstemmed Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
title_short Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
title_sort coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model
topic granular segregation
breakage
cyclic loading
url https://eprints.nottingham.ac.uk/77432/