A mesomechanical analysis of short-fiberreinforced composites with account of the interphase layer

A mechanical-mathematical model allowing one to calculate the effective elastic characteristics of a composite filled with short fibers and containing an interphase layer is developed. The model is based on Eshelby's principle and the technique of a "composite" inclusion. Relationships for the effective Young's modulus of a composite randomly reinforced with short fibers as a function of volume fraction of the filler and interphase layer, as well as of the parameter of anisometry of inclusions, are obtained. For testing the model developed, the elastic characteristics of a composite reinforced with infinite fibers are found. A good agreement with results obtained by using an alternative technique is reached.