>>/41960/
It's a channel for energy.
The energy stored in the muscles plus gravity is channeled to a segment of the edge where it contacts with the wood (or anything the user intends cutting) and used to break the bond between the atoms of the material getting cut.
If it stores the energy spent on sharpening it? Hmm.
When we sharpen the blade we remove material exposing the the sharp edges of the ferrous molecules non-stainless steel atoms are bound together in a smaller angle, I think with stainless it's 45°, while the angle between atoms in "normal" carbon steel is liek 30-35° so we are spending energy to break the bonds between those atoms with the abrasive material, and not raising overall energy level in the tool.
When we hone the blade we just bend the edge back to straight. And while we don't remove material like in the previous scenario well some gets removed I think, but very little we still not put more energy into there.
But while we sharpen/hone the blade some of our energy spent will turn into heat with the friction. The blade itself is warmer which means it got surplus energy. However this isn't get stored but the blade dissipates this heat, the surplus energy - into the air (if we use water - for example - during sharpening that also helps with the cooling).