The Role of Particle Size in the Shock Compaction of Brittle Granular Materials
Author(s)
Neal, William David
Type
Thesis
Abstract
Granular materials can consume large amounts of kinetic energy through deformation of their
inherently complex meso-structure. Little is understood about what effect the geometrical variations
such as particle size and shape have on their response to shock loading. With this in mind,
this thesis attempts to measure the effects that particle size has on the compaction curve of brittle
granular materials.
Three monodisperse and one polydisperse samples of soda-lime glass microspheres were chosen
for this study. A quartz sand was also investigated to determine if the microspheres were a sufficient analogue whilst additionally introducing morphological differences. Beds of these materials
were subjected to quasi-static loading therefore measuring the stress-density compaction response.
Post-loading analysis of the samples revealed a strong dependence on particle size and morphology.
The macro-scale shock compaction responses of the granular samples were measured using plate
impact techniques and piezo-resistive stress gauge diagnostics. Similar trends were observed in the
quasi-static loading behaviour. Smaller particles appeared to have higher strength in the macroscale
which, due to scaling effects at boundaries, contradicted trends from meso-scopic fracture
tests. It was concluded that beds composed of smaller, spherical particles show the greatest
resistance to shock and quasi-static compaction.
For convenience, a single Hugoniot relationship is typically used to represent the shock response
of granular materials. This assumption was challenged in this thesis. Identical incident shock
loading produced different loading states with a changing bed thickness. The terminal loading
states varied considerably with bed thickness in the samples of larger microspheres. The majority
of this variation was due to dispersion within the initial portion of the wave.
The study concludes that particle size has a significant effect on the shock response of granular
materials if the particle geometry is suited to inducing a total-fracture particle densification mechanism.
inherently complex meso-structure. Little is understood about what effect the geometrical variations
such as particle size and shape have on their response to shock loading. With this in mind,
this thesis attempts to measure the effects that particle size has on the compaction curve of brittle
granular materials.
Three monodisperse and one polydisperse samples of soda-lime glass microspheres were chosen
for this study. A quartz sand was also investigated to determine if the microspheres were a sufficient analogue whilst additionally introducing morphological differences. Beds of these materials
were subjected to quasi-static loading therefore measuring the stress-density compaction response.
Post-loading analysis of the samples revealed a strong dependence on particle size and morphology.
The macro-scale shock compaction responses of the granular samples were measured using plate
impact techniques and piezo-resistive stress gauge diagnostics. Similar trends were observed in the
quasi-static loading behaviour. Smaller particles appeared to have higher strength in the macroscale
which, due to scaling effects at boundaries, contradicted trends from meso-scopic fracture
tests. It was concluded that beds composed of smaller, spherical particles show the greatest
resistance to shock and quasi-static compaction.
For convenience, a single Hugoniot relationship is typically used to represent the shock response
of granular materials. This assumption was challenged in this thesis. Identical incident shock
loading produced different loading states with a changing bed thickness. The terminal loading
states varied considerably with bed thickness in the samples of larger microspheres. The majority
of this variation was due to dispersion within the initial portion of the wave.
The study concludes that particle size has a significant effect on the shock response of granular
materials if the particle geometry is suited to inducing a total-fracture particle densification mechanism.
Date Issued
2012-10
Date Awarded
2013-02
Copyright Statement
Attribution NoDerivatives 4.0 International Licence (CC BY-ND)
Advisor
Proud, Bill
Sponsor
Atomic Weapons Establishment (Great Britain) ; Imperial College London
Publisher Department
Physics
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)