A Self-Organization Model of Collective Dislocations and Its Bifurcation Analysis Based on Geometrical Descriptions of Crystal Defects and Thermomechanics

Abstract

A model of self-organization of collective dislocations is proposed on the basis of geometrical descriptions of crystal defects and thermodynamics of complexity. The simultaneous reaction-diffusion equations expressing interactions between GN dislocation density and incompatibility are derived rigorously. Furthermore, the evolution process of PSBs is investigated by the linear stability and bifurcation analyses.