We adopt the simplest theory for the description of the mechanical behavior
of a random array of elastic spheres and show that it is necessary that th
e average rotation of the spheres about their centers be distinguished from
the average rotation of the aggregate. Without such a distinction, the str
ess in an anisotropic aggregate, subjected to a deformation that involves a
n average rotation, would not be symmetric. We illustrate this by calculati
ng the incremental stress-strain relation for an orthotropic aggregate. (C)
2001 Elsevier Science Ltd. All rights reserved.