Mathematical Model Research on Ultrasonic Breaking Up Dendrite in Preparing Semi-Solid A356
In this paper, we introduce an mathematical theory model of ultrasonic breaking up dendrite through the experiment of put ultrasonic vibration on melting A356, which is based on the condition of the effect factors of particles compelled movement on crystal integrality. It can be seen that two factors are very importment to crushing the grain through ultrasonic vibration, namely, structure conditions of the grain growth and the dynamic conditions provided by the ultrasonic. The driving force provide by the ultrasonic can be direct alternating mechanical force and the second, third and so on sound wave force caused by ultrasound wave reflection, scattering etc.. Form the model we can found that the larger the ultrasonic power and amplitude, conditions can be more easily satisfied; simlarly the higher the ultrasonic frequency, angle crossing number, grain structure defects, the longer action time to make greater fatigue, all this factors can also make the conditions more easily satisfied.
Xie Yi and Li Mi
C. Li et al., "Mathematical Model Research on Ultrasonic Breaking Up Dendrite in Preparing Semi-Solid A356", Advanced Materials Research, Vols. 129-131, pp. 70-73, 2010