Statistical distributions for the temperature of hydrogen pore nucleation in solidifying aluminum alloys

Murat Tiryakioğlu, University of North Florida

Abstract

The adequacy of the model originally developed by Charbon and Rappaz for nucleation temperatures of grains to the formation of hydrogen pores during the solidification of aluminum alloys has been investigated. By using four datasets from the literature, it has been found that the Gaussian distribution assumed in the original model for nucleation temperature has provided poor fits to all datasets with systematic error. The hypothesis that undercooling follows the lognormal distribution has been tested. In all four cases, the hypotheses that undercooling is lognormal could not be rejected.