@article { , title = {The structure of uniform discrete defective crystals}, abstract = {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.}, doi = {10.1007/s00161-006-0019-4}, eissn = {1432-0959}, issn = {0935-1175}, issue = {1-2}, journal = {Continuum Mechanics and Thermodynamics}, publicationstatus = {Published}, publisher = {Springer Verlag}, url = {https://nottingham-repository.worktribe.com/output/703625}, volume = {18}, year = {2006}, author = {Cermelli, Paolo and Parry, Gareth P.} }