The quality index introduced on empirical grounds by Drouzy, Jacob and Rich
ard(1) is widely used by the casting industry as a tool for predicting the
effect of solidification rate, chemical additions and heat treatment on the
ductility and tensile strength of Al-7Si-Mg casting alloys. A drawback of
the approach is its lack of physical justification. A simple analytical mod
el is used to derive the quality index charts for Al-7Si-0.4 Mg alloys and
to provide a physical meaning to the parameters involved. It is shown that
the quality index relates to the fraction of uniform deformation available
to the material. The application of the concept to Cu-containing alloys is
also discussed.