Abstract: A method for forming a carbon fiber-reinforced polymer matrix composite by distributing carbon fibers or nanotubes into a molten polymer phase comprising one or more molten polymers; and applying a succession of shear strain events to the molten polymer phase so that the molten polymer phase breaks the carbon fibers successively with each event, producing reactive edges on the broken carbon fibers that react with and cross-link the one or more polymers. The composite shows improvements in mechanical properties, such as stiffness, strength and impact energy absorption.