Abstract
From the concept of fractal superfibre with fractal cross-section, multifractal superfibre with multifractal cross-section is introduced in the present paper. Various single fractal sets, e.g. three, seven- and eleven-circle fractal sets, have combined to form double fractal sets, e.g. three-/seven-circle fractal set and three-/eleven-circle fractal set. The fractal dimensions of the double fractal and multifractal sets are calculated. By taking the double fractal superfibre as an idealised model of fibre reinforced bar, the authors estimate its strength, stiffness and fracture energy. The theory can best describe the exceptional mechanical properties of the wool fibre.
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