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

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Zhang, Jiaxin (2024) Coupling granular size segregation and cyclic-loading-induced crushing effects in a continuum model. PhD thesis, University of Nottingham.

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Abstract

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.

Item Type: Thesis (University of Nottingham only) (PhD)
Supervisors: Heron, Charles
Turnbull, Barbara
Keywords: granular segregation, breakage, cyclic loading
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Faculties/Schools: UK Campuses > Faculty of Engineering > Department of Civil Engineering
Item ID: 77432
Depositing User: Zhang, Jiaxin
Date Deposited: 18 Jul 2024 04:40
Last Modified: 18 Jul 2024 04:40
URI: https://eprints.nottingham.ac.uk/id/eprint/77432

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