Parry, Gareth P. (2016) Discrete structures in continuum

Discrete structures in continuum descriptions of defective crystals.

I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular, I provide a quite general list of 'plastic strain variables', which quantifies inelastic behaviour, and exhibit rigorous connections between discrete and continuous mathematical structures associated with crystalline ma...

Equilibrium configurations of defective crystals

Invariant Line Integrals in the Theory of Defective Crystals.

Coupled dynamics of flow, microstructure, and conductivity in sheared suspensions.

We propose a model for the evolution of the conductivity tensor for a flowing suspension of electrically conductive particles. We use discrete particle numerical simulations together with a continuum physical framework to construct an evolution law for the suspension microstructure during flow. This model is then coupled with a relationship between the microstructure and the electrical conducti...

Case report of progressive facial hemiatrophy

Introduction: Progressive facial hemiatrophy (Parry-Romberg syndrome) is a rare disease ‎always with neurological symptoms such as migraine and epilepsy. Parry-Romberg syndrome ‎is determined with progressive slow hemiatrophy of skin and soft tissue structures in face and ‎frequently in left face. Disease is more common in females. The objective of this paper is to ‎present a ca...