Surface originated kink bands consist of an important failure mode for fibre-reinforced compo-sites under compression. The mechanical behavior of the fibre bridging kink bands is explored herein in thecontext of the post-microbuckling theory. Expressions of bridging force are obtained for the entire postbucklingprocess of the fibres exhibiting weak or strong hardening. The postbuckling formulation of the fibres is appliedto yield the toughness increment due to the advancing kink bands, and consequently leads to a quantitative pre-diction on the overall compressive stress strain curves of the fibre-reinforced composites.
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