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The New Jersey Institute of Technology's
Electronic Theses & Dissertations Project

Title: Energy propagation in jammed granular matter
Author: Fang, Xiaoni
View Online: njit-etd2011-101
(xix, 156 pages ~ 54.7 MB pdf)
Department: Department of Mathematical Sciences
Degree: Doctor of Philosophy
Program: Mathematical Sciences
Document Type: Dissertation
Advisory Committee: Kondic, Lou (Committee chair)
Blackmore, Denis L. (Committee member)
Miura, Robert M. (Committee member)
Moore, Richard O. (Committee member)
Singh, Pushpendra (Committee member)
Date: 2011-08
Keywords: Discrete element simulations
Dense granular systems
Energy propagation
Impact on dense granular systems
Availability: Unrestricted

The systems built from dense granular materials are very important due to their relevance to a number of technological and other fields. However, they are difficult to study in particular due to a lack of accurate continuum description. In this work, studies on these systems are presented using discrete element simulations that model the granular particles as soft, elastic, and frictional disks which interact when in contact. These simulations are used for the purpose of analyzing a few granular systems with the main emphasis on understanding phenomena of energy and force propagation.

Analysis of energy propagation in a two-dimensional disordered system is carried out by considering the propagation of information away from an oscillating boundary which is characterized by both temporal and spatial structure. This spatial structure, in particular, is important since it makes comparison to any continuum model more challenging and insightful. The results are compared to a simple linear wave equation with damping, and a very good agreement is found. This result suggests, that at least for the dense, compressed, jammed systems considered here, mathematical description of energy propagation based on a simple continuum model is possible.

The simulation is then extended to consider the process of impact of a large- scale intruder on a granular system. In this problem, a detailed investigation is considered on the manner in which energies and forces propagate, and in particular a concentration on the influence of material parameters, such as inter-particle friction, is studied . This analysis has led to better understanding of the scaling relations connecting the intruder’s speed and its depth of penetration.

Finally, the dynamics of dense granular flow in a hopper geometry is modeled and studied, where the flow is sensitive to jamming. Extensive analysis of this problem have been carried out, including large scale statistical analysis of data in order to understand the influence of statistical fluctuations on the results.

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