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
We shall outline geometrical and algebraic ideas which appear to lie at the foundation of the theory...
In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simp...
We outline mathematical methods which seem to be necessary in order to discuss crystal structures wi...
We consider the symmetry of discrete and continuous crystal structures which are compatible with a g...
We consider the symmetry of discrete and continuous crystal structures which are compatible with a g...
I construct discrete and continuous crystal structures that are compatible with a given choice of di...
We find the geometrical symmetries of discrete structures which generalize the perfect lattices of c...
We consider distributions of dislocations in continuum models of crystals which are such that the co...
Crystals which have a uniform distribution of defects are endowed with a Lie group description which...
The Lie group structure of crystals which have uniform continuous distributions of dislocations allo...
In Parry and Zyskin [1] we outlined mathematical methods which seemed to be necessary in order to di...
I use the theory of Lie groups/algebras to discuss the symmetries of crystals with uniform distribut...
The Lie group structure of crystals which have uniform continuous distributions of dislocations allo...
We shall outline geometrical and algebraic ideas which appear to lie at the foundation of the theory...
In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simp...
We outline mathematical methods which seem to be necessary in order to discuss crystal structures wi...
We consider the symmetry of discrete and continuous crystal structures which are compatible with a g...
We consider the symmetry of discrete and continuous crystal structures which are compatible with a g...
I construct discrete and continuous crystal structures that are compatible with a given choice of di...
We find the geometrical symmetries of discrete structures which generalize the perfect lattices of c...
We consider distributions of dislocations in continuum models of crystals which are such that the co...
Crystals which have a uniform distribution of defects are endowed with a Lie group description which...
The Lie group structure of crystals which have uniform continuous distributions of dislocations allo...
In Parry and Zyskin [1] we outlined mathematical methods which seemed to be necessary in order to di...
I use the theory of Lie groups/algebras to discuss the symmetries of crystals with uniform distribut...
The Lie group structure of crystals which have uniform continuous distributions of dislocations allo...
We shall outline geometrical and algebraic ideas which appear to lie at the foundation of the theory...
In the continuum context, a uniform crystal has dislocation density tensor constant in space. A simp...
We outline mathematical methods which seem to be necessary in order to discuss crystal structures wi...
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