  In this mini-review we summarize the progress of modeling, simulation and
analysis of shock responses of heterogeneous materials in our group in recent
years. The basic methodology is as below. We first decompose the problem into
different scales. Construct/Choose a model according to the scale and main
mechanisms working at that scale. Perform numerical simulations using the
relatively mature schemes. The physical information is transferred between
neighboring scales in such a way: The statistical information of results in
smaller scale contributes to establishing the constitutive equation in larger
one. Except for the microscopic Molecular Dynamics (MD) model, both the
mesoscopic and macroscopic models can be further classified into two
categories, solidic and fluidic models, respectively. The basic ideas and key
techniques of the MD, material point method and discrete Boltzmann method are
briefly reviewed. Among various schemes used in analyzing the complex fields
and structures, the morphological analysis and the home-built software, GISO,
are briefly introduced. New observations are summarized for scales from the
larger to the smaller.
