Computer Simulation of Assemblies of Rigid Elastic Elliptic Particles

Abstract

Abstract Results of computer simulation of static mechanical behavior of a body consisting of ∼1000 hard elastic particles have been invoked to discuss some problems of mechanics of disordered (amorphous) and ordered (crystal) bodies: the glass-liquid transition, irreversible deformation (plasticity in a solid and flow in a liquid states), and intermediate (like liquid crystal) state. It has been shown that the existence of two states, solid and liquid; the condition of transition between them; and the fundamental mechanical properties of a solid body, viz., plasticity, strain softening, and localization of deformation within the shear bands, are controlled by the number of physical contacts between the particles, spatial distribution of contacts, and their disintegration under shear deformation. Systems of rigid particles are in a solid or a liquid state depending on the number of interparticle contacts. Solid (glass or crystal) and liquid states were determined from the ability of a system to resist sha...