Simulating grain size dependence of the yield point by cellular automations

Abstract

The evolution of plastic flow in polycrystal is studied using cellular automations method. It is shown that if the plastic flow arises in each grain independently, then yield point is inversely proportional to the grain size, but if the plastic flow propagates from one grain to another (“relay race”) then yield point is inversely proportional to the square root of grain size, i.e. it obeys Hall-Petch law.