ASPECTS OF HETEROGENIZATION

In this paper, we briefly review some of the recent developments in th e methodology of heterogenization. A connection between a group struct ure on the set (-1, 1) of real numbers t such that -1 < t < 1, and the elastostatics of a multilayered fiber perfectly bonded to an infinite matrix is Pointed out. Also, universal formulae, pertaining to the so lution of two circular elastic inclusions perfectly bonded to a matrix , of infinite extent, which is subjected to arbitrary loading, are dis cussed. As a novel illustration of the heterogenization procedure, we study here the case where the inclusions are elastically (i.e., ''impe rfectly'') embedded in the matrix. Several cases are presented and dis cussed.