Macroscopic Mechanical Properties of Composite Materials

Abstract

A theory developed in Part I has been applied to calculate effective elastic, and thermoelastic moduli of particle-strengthened, unidirectionally fiber-reinforced, and layered composites. For the unidirectional fiber composites, the effect of fiber aspect ratio is taken into account. The analytical solutions obtained to the effective elastic moduli are compared with some of existing expressions and the following results are found. The effective bulk and shear moduli of the particle-strengthened composites coincide with Kerner's expressions, which correspond with the lower bounds of Hashin and Shtrikman. The same expressions as the lower bounds of Hill and Hashin are obtained for five independent moduli of the aligned continuous fiber composites, four of which coincide with Hashin and Rosen's exact solutions for 'composite cylinder assemblage. '