The influence of interfaces and interphases on the mechanical behavior of composite materials has been widely discussed in the literature, particularly in the last few years. Several books have been devoted to the subject. Despite this fact, the systematic representation of the mechanics of this subject remains grossly incomplete, and because of this, no consistent approach has been developed towards the determination of the influence of the interphase on the properties and performance of composite materials and laminates.The present paper advances a fundamental approach to this subject. The approach is based on the premise that the "composite effect"—that which defines the difference between the mechanical response of constituents acting without interaction and the response when they are bonded rigidly together — is the proper definition of the mechanical effect of the interphase. Within these two bounds, the "real" situation is determined by the extent of this interaction. The present paper attempts to specify these two bounds for typical loading and material situations. The nature of the boundary value problems associated with the two extremes as well as the intermediate cases is discussed.The incorporation of an interphasial region into micromechanical analyses of composite stiffness and strength will necessitate a reevaluation of the boundary value problem. The anisotropic, inhomogeneous, time-dependent quality of the interphase demands a more thorough treatment in existing micromechanical models. Yet, the level of complexity modeled is limited by our ability to measure interphasial properties. The interphase offers a wealth of opportunity on both analytical and experimental aspects of the problem.