# How is spring steel so hard?

The mechanical properties of a steel object are influenced by the metal composition, the manufacturing process, and the final heat treatment of the object.

Spring steel is a steel that was heat treated in a way that makes it springy.
But at the same process, it gets surprisingly hard.
For example, my side-cutting pliers shows dents in the blade after cutting 1mm spring steel wire.

Hardening the same steel would be done by a different, but similar heat treatment, that's not what my surprise is about.
The steel properties "springy" and "hard" are clearly related.

But my intuition keeps telling me that there is some kind of contradiction between the two properties.

I see that the heat treatment causes different structures in the steel, and they may just be similar - but I feel like I'm missing something on a higher level, regarding the two properties.

Are the material properties "springy" and "hard" related in general materials?
If so, what is the relation in general, and in the steel structure?

• That your tool gets damaged is not just a function of the hardness of the spring steel, but also of the edge size. The thicker the material is that you want to cut or sheer, the larger the tool edges have to be, otherwise the pressure on the tool edge will be too large and the tool will be damaged, even if it is harder than the material that you are trying to cut. To cut 1mm hardened steel will require a substantial tool size, probably at the outer end of what one would consider a hand tool. Personally I would probably use a stationary tool for that, already. – CuriousOne Jun 11 '15 at 7:32
• The mechanical properties of a steel object are influenced by the metal composition, and the final heat treatment and the manufacturing process. If you bend or hammer your object, the strength improves as well. And I believe a spring is a steel wire extruded from a larger steel bulk, wound around a core. – Steeven Jun 11 '15 at 8:28
• @Steeven Right, added it. Though for spring steel, I remember it's about repeated moderate heating and cooling (using a suitable steel). – Volker Siegel Jun 11 '15 at 8:31
• @CuriousOne I see - I did not take the edge size into account in the example. You write "To cut 1mm hardened steel ...", do you count spring steel as hardened steel? I assume the tool edge is hardened and not springy. But maybe that's not fully true, maybe it's a steel that's not easy to harden partially. Regarding choice of tools, next I tried was a medium sized bolt cutter. Works very elegantly - think cutting uncooked spaghetti. Interestingly, it also has a very narrow edge. But the blade is a separate part made from a different steel. I assume it's one more suitable for hardening. – Volker Siegel Jun 11 '15 at 8:42
• Most pliers are not made from very hard steel, to begin with, since they are meant to cut much softer metals like copper or silver. But even if they were made from steel that is harder than the steel of the spring, a 0.1mm curvature edge could not cut a 1mm cylindrical object without being worn out quickly, the pressure put on the edge would be too high. For thick hard materials the tools need to have sheer edges that are basically rectangular to minimize the pressure in the tool. – CuriousOne Jun 11 '15 at 13:57

They are two different things.

"Springyness" is called elasticity. This is described by a modulus of elasticity, also for elongation called Young's modulus $Y$. Looking at a stress-strain curve [source] as below, the elasticity is the slope of the straight line in the elastic region.

• If you are not familiar with a stress-strain curve, consider it as a curve resulting from a test of a material. If you pull the material sample with larger and larger stress $\sigma$ (force per area), you attain this curve (strain $\epsilon$ is elongation in percentage of the original length). The elastic region is where the material returns to initial state. The plastic region is where permanent deformation is done; it might still be "springy" but will not return all the way to initial state. (If the curve starts to bend downwards before the failure point, that area is furthermore called necking; but is not shown here.)

"Hardness" is different and is not described by the modulus of elasticity or similar. The more pure and perfect your material microstructure is, if it for example is a crystal, the softer it is. If there on the other hand are errors in the crystal - errors like dislocations, impurities and other atomical defects as well as other imperfections as grain development - the material gets harder. Then rows of atoms in the lattice of the crystal have a much harder time "stretching" and "slipping" and "sliding" around. For lower grain sizes the hardness as a rule-of-thumb increases, called the Hall-Petch rule (though there is a limit).

It is all about adding disturbances to bring tension inside the lattice, keeping the atomic positions fixed. What a heat treatment does, is in fact to trap impurity atoms inside the lattice. The old iron smiths from thousands of years back utilized this without knowing the cause. When they heated up steel, at a certain temperature it changed it's stable crystal type. Carbon atoms from the ashes in the open fires where mixed into tiny gabs and spaces in unit cells here and there on the atomical scale. Cooling it down fast (quenching in a bucket of water) closed the lattice and changed the unit cell structure rapidly, since the prefered crystal type is different for lower temperatures. Carbon atoms may be trapped, and impurities where hereby added. The steel was much, much harder.

The Japanese Katana Samurai swords from ancient times are examples of mechanical hardening on top of the heating treatment. They hammered the metal flat, folded it, hammered it, foled it, and did this for many, many layers. The resulting microscale disturbances were violent and the crystal structure was full of imperfections and very much harder that typical heat treated hardened steel.

The microstate changes for different temperatures can be overviewed with a phase diagram like this [source]:

• Pure iron is all the way to the left, and the more to the right you go along the axis, the more carbon is added. Each area is a specific phase, and phases have different crystal types (different atomic arrangements for each unit cell) for different temperatures (and composition). This does not tell how the microstructure looks, just what phases are prefered. Because even at a state of prefered phases in this diagram, you can violently mess the structure itself around mixing up all the grain orientations from the above described methods of heat treatment, mechanical treatment etc.