The structure of uniform discrete defective crystals. (English) Zbl 1101.74019
Summary: 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.
MSC:
| 74E15 | Crystalline structure |
| 74A60 | Micromechanical theories |
| 82D25 | Statistical mechanics of crystals |
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