“…Some of these are based on the classical fibre bundle theory [9 -12] while others use more refined treatments, featuring single fibre strength distributions other than the twoparameter Weibull distribution [13,14], non-constant filament lengths [14] or fibre -fibre interactions [17,18]. These methods have been used to describe the behaviour of numerous fibre materials, including glass [16,19], carbon [9,12,14], Kevlar [17], and ceramic [15]. Despite these improvements, an important point has-to the best knowledge of the authors-never been addressed to date, namely the often non-linear elastic behaviour of high-strength brittle fibres, which becomes noticeable at strains lower than their average fracture strain [20 -22].…”