화학공학소재연구정보센터
Materials Science Forum, Vol.426-4, 3933-3938, 2003
Mathematical model for the residual stresses induced during the heat treatment of grinding balls.
The goal of the present work is to find the field of residual stresses induced during the quenching and equalization of grinding balls of 3, 4 and 5 inches of diameter and through this, their possible cracking or fractures points. Additionally, to establish the operational conditions during the quench (temperature and agitation of the water) such that diminish the residual stresses. The work was divided in two stages: a) Modeling by means of finite differences, and experimental validation of the radial distribution of temperature of the balls and b) Modeling of the field of residual stresses considering the distribution of temperature, the equations of balance of force and the constitutive thermoelastic relationships in which the expansion effect by changing of phase austenite-martensite was introduced. The results of the model predict the phenomenology of the cracking of the balls as a consequence of the residual stresses induced during the quenching and equalization, with a good agreement with experimental results.