Abstract
The elastic moduli of uniaxial fibre-composite material are briefly reviewed. The transverse Young's modulus and the axial-transverse shear modulus are matrix dependent. A single formula is derived for their calculation. This formula accepts the Halpin-Tsai philosophy of the need for a simple equation but presumes to improve on Halpin-Tsai by eliminating an arbitrary constant varied for the cases of direct stress and shear stress. It draws attention to the variation of packing array with fibre volume fraction and demonstrates the concentration of strain at the points of minimum clearance between fibres. The accuracy of the new formula is shown, first by comparison with the two established formulae of Halpin and Tsai, and with Hewitt and Malherbe's modification of Halpin and Tsai's formula for shear. Secondly, its accuracy is shown by verifying its trends for the extremes of fibre volume fraction.
Published Version
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