THE PHYSICS OF MECHANICAL ALLOYING IN A PLANETARY BALL MILL - MATHEMATICAL TREATMENT

Based on a kinematic modeling of the planetary ball mill, the kinematic equations giving the velocity and the acceleration of a ball in a vial in a planetary ball mill are given. The kinetic energy transferred at the collision event, the shock frequency, and the injected shock power are also calculated. The confrontation of the calculated to some experimental results documented in the material literature, show that neither the shock energy nor the shock frequency separately taken into account, govern the end product but only the injected shock power is responsible for the ball milled end product.