منابع مشابه
epl draft Shearing of frictional sphere packings
We measure shear response in packings of glass beads by pulling a thin, rough, metal plate vertically through a bed of volume fraction φ, which is set, before the plate is pulled, in the range 0.575 to 0.628. The yield stress is velocity independent over 4 decades and increases exponentially with φ, with a transition at φ ≈ 0.595. An analysis of the measured force fluctuations indicates that th...
متن کاملGeometry of frictionless and frictional sphere packings.
We study static packings of frictionless and frictional spheres in three dimensions, obtained via molecular dynamics simulations, in which we vary particle hardness, friction coefficient, and coefficient of restitution. Although frictionless packings of hard spheres are always isostatic (with six contacts) regardless of construction history and restitution coefficient, frictional packings achie...
متن کاملSphere Packings
This paper is a continuation of the first two parts of this series ([I],[II]). It relies on the formulation of the Kepler conjecture in [F]. The terminology and notation of this paper are consistent with these earlier papers, and we refer to results from them by prefixing the relevant section numbers with I, II, or F. Around each vertex is a modification of the Voronoi cell, called the V -cell ...
متن کاملSphere Packings Iii
Thus in the closest pack in three dimensions, the triangular pattern cannot exist without the square, and vice versa. Abstract: An earlier paper describes a program to prove the Kepler conjecture. This paper reduces the third step of that program to a system of inequalities and one exceptional connguration of spheres. Although these inequalities have not yet been rigorously established, they se...
متن کاملRegular Sphere Packings
A collection of non-overlapping spheres in the space is called a packing. Two spheres are said to be neighbours if they have a boundary point in common. A packing is called k-regular if each sphere has exactly k neighbours. We are concerned with the following question. What is the minimum number of not necessarily congruent spheres which may form a k-regular packing? In general, for which natur...
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ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2011
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/93/64003