Hi there,
I need a nice theoretical model for elastic modulus & strength calculation of bidirectional carbon fibre (long fibres) reinforced composites with spherical nanorubber modified epoxy matrices. Halpin-Tsai seems reasonable but the model I checked was only applicable to the particle-modified polymer. Is there a model for the whole composite itself ? Thanks.
Fibres are long
Halpin-Tsai model should describe the long carbon fibre – epoxy composite, while the nano-rubber is potentially a toughening agent for the epoxy and not contributing to reinforcement. Nano-rubber is likely to decrease the epoxy modulus, but this could be considered as a modified matrix in the Halpin-Tsai equation. There is an optimum dispersed rubber particle size for toughening of hard epoxy resin, however assuming the carbon fibres form an interface with epoxy and the rubber is separately dispersed in the epoxy, then the combination epoxy-rubber can be considered as the matrix.
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