A popular approach to the characterisation of the propagation of interlaminar cracks has been through the linear-elastic-fracture-mechanic (LEFM). The mechanical analysis and characterisation of the propagation of interlaminar cracks were mentioned in general. In a number of publications, the fracture behaviour of a carbon-fibre reinforced polymer composite was shown to be dominated by the properties of the polymer-matrix phase, affecting both the stability of crack propagation and magnitude of the measured fracture toughness. It is shown that for the interlaminar of some polymer/fibre composite the value of the interlaminar fracture energy generally increases as the crack propagates through the composite, i.e. arising 'R-curve' is observed...