A Monte Carlo finite element model is developed for predicting the sca
tter in the nominal elastic constants of a thin film aggregate of cubi
c crystals. Universal results for the nominal plane strain Young's mod
ulus and Poisson's ratio are presented as functions of the number of g
rains within a unit volume, acid two parameters that quantify the leve
l of the crystalline anisotropy. The predictions are compared with for
mulae that are derived for plane strain Voigt and Reuss bounds. (C) 19
97 Acta Metallurgica Inc.