Skip to main content

Research Repository

Advanced Search

All Outputs (2)

Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure (2018)
Journal Article
Parry, G. P., & Zyskin, M. (2018). Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure. Journal of Elasticity, 1-39. https://doi.org/10.1007/s10659-018-9680-7

In Parry and Zyskin [1] we outlined mathematical methods which seemed to be necessary in order to discuss crystal structures with non-constant dislocation density tensor (ddt). This was part of a programme to investigate the geometry of continuously... Read More about Two-dimensional defective crystals with non-constant dislocation density and unimodular solvable group structure.

Geometrical structure of two-dimensional crystals with non-constant dislocation density (2016)
Journal Article
Parry, G. P., & Zyskin, M. (in press). Geometrical structure of two-dimensional crystals with non-constant dislocation density. Journal of Elasticity, 127(2), https://doi.org/10.1007/s10659-016-9612-3

We outline mathematical methods which seem to be necessary in order to discuss crystal structures with non-constant dislocation density tensor(ddt) in some generality. It is known that, if the ddt is constant (in space), then material points can be i... Read More about Geometrical structure of two-dimensional crystals with non-constant dislocation density.