Macroscopic Mechanical Properties of Composite Materials

Part I. Theoretical Basis

Abstract

By applying Eshelby's theory on the ‘transformation’ and ‘inhomogeneity’ problems of an ellipsoidal inclusion, a macroscopic stress-strain relation is formulated for a composite material consisting of a matrix and a large number of aligned ellipsoidal inclusions. Some of the composites of practical interest, such as unidirectionally fiber-reinforced, particledispersion-strengthened, and layered composites, can be treated by changing the axial ratios of the ellipsoidal inclusions. The macroscopic stress-strain relation obtained is applicable to elastic, and elasto-plastic deformation of the composite in uniform loading.