Article: Simple formulae for the effective moduli of unidirectional aligned composites.

INTRODUCTION

There exists an extensive literature on estimating the effective moduli of unidirectionally aligned composites. For example, rigorous bounds for the effective moduli of fiber-reinforced composites using the variational principle of elasticity was obtained by Hashin and Rosen (1), Hill (2) and Hashin (3). Estimates of effective moduli can also be obtained using the serf-consistent method of Hill (4), Budiansky (5), Christen and Lo (6) and Hermans (7). This method was used by Laws and McLaughlin (8) and Chou, et al (9) to obtain estimates for short fiber composites. Details for bounding methods and the self-consistent model can be found in Willis (10), ...

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