AUTHORS: J. Venetis, E. Sideridis

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ABSTRACT: The objective of this work is to propose upper bounds of transverse elastic modulus for two – phase and three phase unidirectional fibrous composites according to strength of materials approach. To this end, the authors introduce at first a closed form expression the values of which are proved to be strictly greater than those arising from the well known Paul’s formula for a two phase fibrous material. Next, the authors taking into account the interphase concept perform a theoretical formula for the transverse elastic modulus of three – phase unidirectional fibrous composites, yielding values strictly greater than those obtained from inverse mixtures law for a three phase unidirectional composite. To verify the validity of the proposed expressions, their numerical results for various fiber contents were compared with theoretical values yielded by some reliable formulae derived from other workers, together with experimental values found in the literature and a reasonable agreement was observed

KEYWORDS: Fibrous composites, transverse modulus, upper bound, Paul’s formula, interphase, inverse law of mixtures

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