ABSTRACT
For several years people have been embarked on a program to understand the response of cemented granular materials to large deformations at high strain rates. This chapter describes the process of creating the analytic model. The case for the angular distributions -- i.e., for the orientations -- is more difficult, since the various orientations of the neighbors of a particle are clearly correlated in the sense that two neighbors cannot overlap. The displacement of the boundaries defines an average or macroscopic strain tensor. The analysis is based on the idea of replacing the details of a granular assembly by a model of the average grain. The generalized results, combined with a method for calculating the breaking of bonds, will provide the basis for a constitutive model for cemented granular materials suitable for large scale computing.
