Simulation of the dynamic compression of porous Al$_2$O$_3$

A model describing the behavior of Al$_2$O$_3$ ceramics under dynamic and shock-wave compression is developed. It is based on the model of a Maxwell-type viscoelastic body, which has been previously used with advantage to simulate the compression of metal porous media. Shock adiabats, including those for the case of high porosity, are calculated, and the evolution of finite-duration compression pulses propagating in a porous half-space are analyzed. The calculations confirm the assumption that the grain (pore) size has an effect on the shock-wave process and the final result.