CFC is lighter so the strikes will have less energy in them. In tension, fibers carry the load so it is very strong and in compression, the epoxy carries most of the load so it is weaker. When a sword strikes something, it experiences impact forces. To get a fine cutting you'd be sharpening the epoxy which is a bad cutting edge. Remember that carbon fiber composite (CFC) is made up of carbon fibers held together by epoxy (genetally speaking). It depends on the characteristics of the sword. There is a reason that different cultures and time periods used different types of swords. So if your aim is to make or deploy a composite blade, study the nature of the fighting style and the sorts of armour/defense it was supposed to penetrate to understand why the blade is built the way it was, and then work with that. As an aside, the traditional Katana was a very complex 3d object which also used a sandwich of hard, brittle steel in the middle to hold the cutting edge and softer steel on either side and on the non cutting "back" edge to provide flexibility and the ability to absorb blows without the blade snapping, so a composite sword could be "tuned" to provide different sorts of performance (a rapier like blade would benefit greatly by being stiffened by a lot of carbon fibre, while a traditional longsword used the weight of the blade to provide more of the motive and cutting force through chain mail armour, so a lighter longsword might not be as effective beyond a certain point). A composite blade could be made as a "sandwich" of a central steel cutting blade and carbon fibre "slabs" on either side to provide a very stiff, lightweight blade. Since a sword (or most striking/cutting weapons) require strength in compression, carbon fibre by itself would not make for a useful sword blade. Composites also need a strong binding material in order to keep the fibres in place (traditional boat makers will recognize the goopy resin used to keep the glass fibre in place). Most carbon fibre items like skis, arrows, car doors, 787's and so on are composites, which use carefully aligned bundles of carbon fibre to provide strength in tension, and other materials to provide strength in compression. You will probably be able to successfully entangle the opponent with such a weapon rather than slicing him in half. OTOH, trying to make a sword of spider silk will result in a large, floppy mess. A strand of spider silk can take 17X more force in tension than a similar strand of steel of equal weight. To illustrate, think of the fact that spider silk is something like 17X stronger than steel by weight. While this has many fantastic properties, this by itself isn't going to help you make a sword. Carbon fibre and many of the super materials that have been developed in the last several decades (Kevlar, Spectra, M5 and so on) are generally fibres which are amazingly strong in tension.
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