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All Outputs (2)

On symmetries of crystals with defects related to a class of solvable groups (S1) (2011)
Journal Article
Nicks, R., & Parry, G. P. (2012). On symmetries of crystals with defects related to a class of solvable groups (S1). Mathematics and Mechanics of Solids, 17(6), 631-651. https://doi.org/10.1177/1081286511427485

We consider distributions of dislocations in continuum models of crystals which are such that the corresponding dislocation density tensor relates to a particular class of solvable Lie group, and discrete structures which are embedded in these crysta... Read More about On symmetries of crystals with defects related to a class of solvable groups (S1).

Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects (2011)
Journal Article
Parry, G. P., & Sigrist, R. (2012). Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects. Journal of Elasticity, 107(1), 81-104. https://doi.org/10.1007/s10659-011-9342-5

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 g... Read More about Reconciliation of Local and Global Symmetries for a Class of Crystals with Defects.