The Structure of Uniform Discrete Defective Crystals

Cermelli, Paolo; Parry, Gareth
August 2006
Continuum Mechanics & Thermodynamics;Aug2006, Vol. 18 Issue 1/2, p47
Academic Journal
In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simple iteration procedure generates an infinite set of points which is associated with uniform defective crystals. When certain necessary conditions are satisfied, there is a minimum (non-zero) separation of points in this set, so the set is discrete. We describe the structure of such sets explicitly, and show in particular that any such set is either a simple lattice or a 4-lattice.


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