Interpretation of Disorder and Fractal Dimensions in Transversely Loaded Unidirectional Composites

Abstract

The dispersion patterns of fibres in unidirectional composites are investigated by introducing second-order statistical functions which categorize the patterns of fibre centres as being aggregated, random or orderly. Furthermore these functions allow us to deduce the range of local disorder in the geometrical arrangement of fibres. A series of fracture surface profiles of transversely haded unidirectional composites are analysed in terms of fractal geometry. The fracture profiles are studied from three well-characterized materials having the same constituents but different dispersions of fibres. Fractal properties of fracture profiles are shown to correlate with an appropriate pattern's descriptors, which represent distance-based statistics of fibre distribution.

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