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Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects
Authors:Gareth P. Parry  Rachel Sigrist
Affiliation:(1) Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN, 55455, U.S.A.;(2) Center for Nonlinear Analysis, Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA, 15213, U.S.A
Abstract:
We consider the symmetry of discrete and continuous crystal structures which are compatible with a given choice of dislocation density tensor. By introducing the notion of a ‘defective point group’ (determined by the dislocation density tensor), we generalize the notion of Ericksen–Pitteri neighborhoods to this context.
Keywords:
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