The very first thing I would like to point out on the chart is the shaded area to the left. This is called the proportional range and corresponds with elasticity. The “proportional” come from the fact that any deformation is directly proportional to the force applied- you stop applying force, the blade stops moving. If you remove the load the blade goes back to the shape it was before the load. This the basis of “flexing” steel, heck it
is flexing steel.
I am starting here because one horrible misnomer that entirely burns my bacon is calling a “bend” test a “flex” test. If the blade doesn’t return entirely to its original shape it cannot be called a “flex test” because the proportional limit was exceeded and the thing bent! Confusing “bending” with “flexing” may leave the consumer with the impression that your blades can return to true after 90 degrees, and whether that communication is intentional or not, it is less than honest, and it is for that reason I will not relent on this point.
The curve above is what is generated when steel is subjected to a tensile type of test. When load is applied there will initially be elastic deformation that will be able to entirely reverse itself when the load is removed. This range is where we want to stay in with our knives if we wish them to remain undamaged by loads. You will notice that the right hand side of that range is a straight line; this is because it is constant for the steel regardless of its heat treatment. This is governed by a formula know as Young’s modulus or the Modulus of Elasticity, I prefer Young’s Modulus because it less intimidating but the other is useful if you want to “baffle them with bull#&$&%”

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All materials have a number that corresponds to this and that number represents the amount of force required to elastically stretch a material a given amount based upon its dimensions. For steel the formula is E= 30 x 10
6 psi. These are huge numbers so for our use we can scale them down and say something more reasonable, like, it would require 30,000 pound per square inch to elastically stretch a piece of steel 1/1000th of an inch. If you have data sheets on your steel look for it, it is often included… really

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The main point that we really need to take from this discussion is that
on this number heat treatment will have no effect at all.
So why is this important to flexing and bending knife blades? Because it determines the “stiffness” of the blade in actual flexing, and some very knowledgeable people making knives today have gotten this completely wrong. “Stiffness”, or the amount of force it takes to pull a blade over in a vice, is based upon the cross section and has nothing to do with heat treatment! If you flex a 1/8” thick blade 20 degrees while it is fully hard it will take the exact same foot pounds as a blade that is dead soft. This can be best demonstrated this in a classic example used for this subject. Take two identical pieces of the same bar of steel, only one is annealed and the other is hardened, and clamp them both horizontally to a bench. Now hang identical weights from them, and they will deflect exactly the same amount. You can continue to add weights to both and have the same results until the proportional range is exceed and then the soft steel will begin to bend, but the hard steel will continue to flex. Once bending begins the deformation will continue even though no more weight is added, thus it has exceed the proportional limit and reached its yield point. But the hardened piece of steel will continue to take vastly more weight before it gives, it won’t bend much but will instead break.
So one can have a blade that bends under a few foot pounds, but does not break, or they can have a blade that requires a grown man really leaning on a cheater bar to deform but that deformation will be fracture. What we want is up to us, but we cannot say that heat treatment does anything more than move the yield points around, and we cannot call soft steel “strong”.