The perturbation method was used to analyze unsteady temperature distributions and thermo-elastic dislocation generation in the presence of a planar or curved interface shape during Czochralski crystal growth. In order to demonstrate the effects of the unsteady-state terms, a comparison was made between the present unsteady-state results and previous quasi steady-state results. It was found that, in the case of the quasi steady-state model, the temperature distributions, thermal stresses and dislocation densities were greatest, while those in the steady-state model were smaller, and those in the unsteady-state model were smallest. Moreover, the predicted difference between any 2 of them increased with increasing Peclet number. Also, for a small value of the ambient Biot number, the predicted difference in dislocation density increased with increasing ambient Biot number. However, when the ambient Biot number was sufficiently high, an increase in the number had no effect upon the model difference.

Unsteady Thermoelastic Analysis of Dislocation Generation during Czochralski Crystal Growth. C.C.Hwang, S.Lin: Journal of Crystal Growth, 1995, 149[1-2], 147-52