Bibliography: leaves 100-103. / The Discrete Element Method (DEM) is a collection of numerical techniques based on a discontinuum idealisation of a physical system. Discrete Element Methods have been successfully applied to the simulation of the dynamic behaviour of granular media. Using the Finite Element Method to model the behaviour of each discrete element has resulted in the Combined Finite Discrete Element Method. This combination allows researchers to investigate the behaviour of assemblies of particles in which each particle need not behave in an entirely elastic mamrer. More importantly, discrete crack constitutive models may now be applied to each discrete element. The purpose of this thesis is to simulate the macroscopic behaviour of an assembly of brittle particles, using the Combined Finite Discrete Element Method. Brittle behaviour is incorporated via the use of a Mode I and Mode II brittle failure constitutive models. The Mode I and Mode II failure models used are the Rankine and Tresca failure models, respectively. The development of a pre-processor to generate the initial configuration of the particle assembly also formed a major component of the thesis. Algorithms to fill a plane with randomly shaped polygons were developed and implemented for the pre-processor. The cold compaction process is idealised as the compaction of a granular medium, in which each particle is a deformable polygon. Two algorithms are proposed and implemented to generate randomly shaped polygons. A further algorithm was developed to fill a simple bounding polygon with smaller polygons. A_commercial CFDEM code, ELFENExplicit, was used to investigate the effect of particle constitutive model and particle interaction on the macroscopic behaviour of the granular assembly. The built-in linear elastic and Mode I Rankine failure models were used in the initial simulations while a Tresca failure model was implemented to investigate the effect of a Mode II failure model.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:uct/oai:localhost:11427/12511 |
| Date | January 1999 |
| Creators | Parker, I |
| Contributors | Mitchell, G P, Pretorius, T S |
| Publisher | University of Cape Town, Faculty of Engineering and the Built Environment, Department of Mechanical Engineering |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Master Thesis, Masters, MSc |
| Format | application/pdf |
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