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The initiation and propagation of kink-bands are investigated through an experimental study and numerical modelling. Based on the results achieved, the sequence of events and key features for kink-band formation are identified; particularly, matrix yielding is found to play a crucial role in the process, and fibres are found to fail in the compressive side first. The findings from both the experimental and numerical programmes show a remarkable agreement, and are further applied to the development of an analytical model (Part II of this paper) for kink-band formation.

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An analytical micromechanical model for kink-band formation in an unidirectional fibre-reinforced composite is developed. This is supported by the conclusions of experimental and numerical programmes (presented in Part I of this paper) and is based on the equilibrium of an imperfect fibre laterally supported by an elasto-plastic matrix. The model predicts the longitudinal compressive strength of the composite (in closed form), the deflection and main stress fields in fibres and matrix at different stages of kink-band formation, the kink-band width, and the orientation of the fibres at the onset of fibre failure.

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