The Melting of Solid and Porous Aluminum under Shock Compression

摘要

The melting point of shock compressed aluminum is calculated according to the prediction of the Lindemann law and the Gruneisen equation of state. The position of this point on the Lindemann melting curve varies with two parameters - the initial state and the porosity of aluminum. Because the Hugoniot of aluminum depends upon these parameters, variation in either the initial state or the porosity implies a family of Hugoniots. Normally, a characteristic (complete) equation of state is needed to determine these Hugoniots. But, in this work a family of Hugoniots is derived for each parameter by using the Gruneisen equation of state and a single experimental Hugoniot. Several melting points are calculated corresponding to various values of the parameter of a Hugoniot. These melting points, Hugoniots, and other thermal properties calculated from the theory are in excellent agreement with the data cited. (Author)