ABSTRACT
In this chapter, we discuss some fundamental problems concerning macroscopically homogeneous biphasic linearly elastic composites, currently representing the basic and classical part of the general theory of micromechanics of composite materials. The problems that will be analyzed are founded on the original results obtained by Hill [4.1]−[4.6], Budiansky [4.7], Hashin [4.8]−[4.10], Hashin and Shtrikmann [4.11], [4.12]. Important information concerning the numerical characteristics of macroscopically homogeneous bodies are given in their Lecture Notes by Suquet [4.13] and Zaoui [4.14]. An important result obtained by Ga˘ra˘jeu [4.15] in 1995 shows that even in the classical part of the micromechanics of composite materials, there exists important open problems which must be clarified in the future.
