Abstract :
In order to obtain formulas providing estimates for elastic constants of random polycrystals of laminates, some
known rigorous bounds of Peselnick, Meister, and Watt are first simplified. Then, some new self-consistent estimates
are formulated based on the resulting analytical structure of these bounds. A numerical study is made, assuming first that
the internal structure (i.e., the laminated grain structure) is not known, and then that it is known. The purpose of this
aspect of the study is to attempt to quantify the differences in the predictions of properties of the same system being modelled
when such internal structure of the composite medium and spatial correlation information is and is not available.
