Abstract
The overall elastic moduli and elastoplastic stress-strain relations of a fiber-reinforced composite containing either aligned or randomly oriented spheroidal voids are derived explicitly. The results are given in terms of the void shape and concentration, and for the elastic moduli the void shape is further pushed to the limit for cracked bodies. The present theory also corresponds to the condition of “random bridging”, with a longitudinal Young's modulus and axial shear modulus lying between those of “full bridging” and “no bridging”. Numerical results further indicate that both elastic and elastoplastic strength of the fiber-reinforced composite can be significantly weakened by the presence of both types of distribution, but the extent of stiffness or strength reduction is highly dependent upon the void shape and loading direction.
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