1. Statistical homogeneity is obtained in a limit in which the test specimen is unboundedly large.
2. In an alternate, but equivalent, definition one equates the energy stored in a fictitious, homogeneous effective medium and the averaged energy in the randomly heterogeneous test specimen.
3. The appropriateness of such an appellation might be questioned by some. I use it here since its use is not uncommon; it is a convenient shorthand term, and the precise meaning is made clear by the equation that describes the formalism.
4. Mean field variation in random media;Beran, Mark J.;Quart. Appl. Math.,1970
5. M. J. Beran and J. J. McCoy, Int. J. Solids Struct. 6, 1035 (1970)