By Colin Thornton
This ebook is dedicated to the Discrete aspect approach (DEM) process, a discontinuum modelling technique that takes under consideration the truth that granular fabrics are composed of discrete debris which have interaction with one another on the microscale point. This numerical simulation approach can be utilized either for dispersed structures within which the particle-particle interactions are collisional and compact structures of debris with a number of enduring contacts.
The e-book offers an in depth and special clarification of the theoretical history of DEM. touch mechanics theories for elastic, elastic-plastic, adhesive elastic and adhesive elastic-plastic particle-particle interactions are provided. different touch strength types also are mentioned, together with corrections to a couple of those types as defined within the literature, and critical parts of extra examine are pointed out.
A key factor in DEM simulations is whether a code can reliably simulate the best of platforms, particularly the only particle indirect impression with a wall. this is often mentioned utilizing the output received from the touch strength types defined past, that are in comparison for elastic and inelastic collisions. furthermore, additional perception is supplied for the impression of adhesive debris. the writer then strikes directly to give you the result of chosen DEM purposes to agglomerate affects, fluidised beds and quasi-static deformation, demonstrating that the DEM method can be utilized (i) to imitate experiments, (ii) discover parameter sweeps, together with restricting values, or (iii) establish new, formerly unknown, phenomena on the microscale.
In the DEM purposes the emphasis is on studying new info that reinforces our rational figuring out of particle platforms, that could be extra major than constructing a brand new continuum version that encompasses all microstructural features, which might probably end up too complex for sensible implementation. The e-book can be of curiosity to educational and business researchers operating in particle technology/process engineering and geomechanics, either experimentalists and theoreticians.
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Extra resources for Granular Dynamics, Contact Mechanics and Particle System Simulations: A DEM study
For relatively strong bonds the bond may be solid, cemented or glued by a viscous liquid. Weaker bonds may be provided by pendular liquid bridges, van der Waals forces, electrostatics or electro-magnetic fields. The type of bond dictates the contact interaction law required. However, in this section we only consider autoadhesive particles that result from van der Waals forces. For particle sizes less than say 50 μm, van der Waals forces become significant and particles tend to stick to each other.
2, by replacing Fn by ðFn þ 2Fn Þ and using Eq. 87) to define the contact radius. It then follows that the sliding condition becomes Ft ¼ μðFn þ 2Fnc Þ ð3:88Þ However, although experimental evidence of peeling has been provided for rubber (Savkoor and Briggs 1977) results obtained by Homola et al. (1990) for mica indicated that no peeling occurred. Consequently, we might conclude that the effect of a tangential force in the presence of adhesion is not yet fully understood and may be dependent of the type of material used.
Phys. Solids 35, 213–226 (1987) Chapter 3 Contact Mechanics Abstract As a result of the relative displacements between contiguous particles, forces are generated at the interparticle contacts. The contact force-displacement behaviour depends on the material properties of the particles, the sizes of the two particles in contact and the surface conditions. In this chapter we consider contact force models that are based on theoretical contact mechanics. Equations are derived for both the normal and tangential contact forces between two spheres in contact for elastic and elastic-plastic interactions, with and without adhesion.