One-Dimensional Composite Micromechanics

Abstract

We present an easily understood, one-dimensional development of composite micromechanics that bridges the gap between the state of the art in composites research and composites education. By developing the general framework in a one-dimensional setting, a clear exposition of the basic ideas evolves. Exact analysis is carried out as far as possible, until one arrives at a natural point where assumptions must be introduced. The nature of the necessary assumptions is then clear and they have a simple physical interpretation. The connection between the framework presented here and traditional mechanics of materials analyses is discussed at length, as is a method by which the approach can be used in conjunction with an experimental programme to assess the validity of various assumptions. The general approach in one dimension leads naturally to the extension to two and three dimensions, along with the extension to analogous physical and thermomechanical properties.