# Properties of Steel

In what follows I only want to get you acquainted with steel properties in general - in contrast to the bulk of the hyperscript, where I go into details. In particular, I will look at all those properties that are not so interesting to Materials Scientists but get Materials Engineers very excited, e.g. machinability or weldability.
And no - I will not discuss very much how and why properties change when you start making steel out of iron by alloying. This is, after all, to a large extent what the whole Hyperscript is about.

## Basic Properties of Pure Iron

It is a good idea to list some of the very basic properties of pure iron before I give you some ideas about steel properties and how those are affected by alloying.
If nothing else is stated, all numbers in what follows are for room temperature.
The crystal lattice is bcc or fcc, depending on temperature. The lattice constants a are different and depend on temperature as given by the coefficient of thermal expansion a Fe.
The temperatures give the transition temperature between the bcc / fcc phase.
The bcc lattice has two atoms per unit cell, the fcc lattice has 4. If one calculates the volume change bcc Û fcc from the data, you have to compare half the volume of the fcc unit cell to that of the bcc unit cell at 911 oC (about 0.290 nm), i.e. 24.4 Å3 (bcc)Û 24.31 Å3 (fcc), corresponding to a volume change of about 0.4 %. The second transformation at 1.390 oC changes the volume by about 0.18 %.

abcc(RT) = 0.287 nm
afcc(911 oC) = 0.365 nm
abcc(1.394oC) = 0.293 nm
Melting point
TM

= 1538 oC
Boiling point
TB

= 2862 oC
The density r Fe of iron at room temperature is rather large; iron is a "heavy" metal.
The density of the fcc phase is a bit (about 0.4 %) larger, it is the close-packed structure, after all.
In the liquid state, the density is 13 % smaller than that at room temperature, which makes for easy casting since the ingot contracts and thus comes free from the mould walls.
This is in contrast to water and silicon (Si), where the volume expands, leading to violent explosions of pipes / moulds!

r bcc(RT) = 7.874 g/cm3
= 7874 kg/m3
r L = 6.98 g/cm3
= 6980 kg/m3
Basic thermal properties, beside the phase transformation temperatures given above, are:
Coefficient of thermal expansion a Fe at room temperature.
It tells you how the length / volume expands with increasing temperature. It is one of the major causes of thermal stress.

a Fe = 11.8 · 10–6 K–1
= 11.8 µm / (m · K)
Thermal conductivity k
The (specific) thermal conductivity or heat conductivity measures how much heat power (energy per second, measured in Watt (W)) flows through 1 m2 for a temperature difference of 1 K.
Do not confuse with

k Fe = 80.4 W / (m · K)
Specific heat or heat capacity c, the energy needed to increase the temperature by 1 K (or 1 oCelsius).
Specific heats are often given for either 1 mol or 1 kg of the material
(1 mol Fe = 17.89 kg).

c Fe = 25.10 J / (mol · K)
= 449 J/ (kg · K)
Heat of fusion EFu or the energy needed / released for the transformation solid Û liquid.
Heat of vaporization EVa or the energy needed / released for the transformation liquid Û gas.

EFu = 13.8 kJ / mol
= 246.8 kJ/ kg
EVa = 340 kJ / mol
= 6 015 kJ / kg
Curie temperature T Cu; the temperature below which iron becomes ferromagnetic.
TCi = 770 0C
Turning to the basic mechanical properties we have:
Elastic moduli or parameters like Young's modulus Y, shear modulus G or Poisson's ratio n. You need two, then all others can be calculated.
All these parameters measure or describe how hard it is to change the distance between the atoms by applying forces for some specific geometry.
The property that goes with these parameters is often called stiffness. It's a somewhat misleading name, however, because stiffness is usually not seen as a specific property relative to a defined geometry, but as a product property. In this case the geometry of the object comes in, too. A thick wide blade is "stiffer" than a slender one, even so the specific "stiffness" values of the material are the same.

Y Fe = 170 GPa
G Fe = 82 GPa
n Fe = 0.29
The speed of sound vS in iron is not all that important but counts as mechanical property that is good to know.
vS = 5 120 m/s
Then there are a few miscellaneous properties:
Specific electric resistivity rel or conductivity s el.
The value of specific electric resistivity, in simple terms, gives the value of the resistance of a 1 cm sized cube of a material in W (Ohm). The specific conductivity is the inverse; s = 1/r.
Values are for room temperature, the resistivity always increases with increasing temperatures.

s Fe = 96.1 nW · m
= 9.61 m W · cm
Magnetic permeability µ
This, in extremely simple terms, indicates how much stronger" an electromagnet will get if you put iron inside the coil.
The exact value depends on many things.

m Fe = 3000 - 10.000

## Properties of Low Alloy Steel Not Much Different From Iron

As long as we look at low alloy steel, we look at iron with just a few at% of something else in it. That means that most of the bonds between the atoms of the steel are iron-iron bonds. We must expect that properties that come directly from the bonds then deviate from the the properties of iron just "a few percent", too. We need to consider atom percent here, of course. We also call these properties: "defect-insensitive".
Well, yes - but there are exceptions. The exceptions from the rule only occur if some iron-rich compound can be formed, e.g. Fe3C. With 25 at% carbon (corresponding to 6.5 wt%) you get 100 at% Fe3C or cementite, and all properties are now totally different from iron. With 1 wt % carbon you still can produce - roughly - 20 at % cementite and that is enough to change the properties noticeably. You now have a composite material.
Here is a good example of what might happen with the property "Young's modulus" in bronze if a copper-rich intermetallic phase occurs. The way to deal with that is doing some averaging as demonstrated in the "composite materials" module.
Keeping this in mind, what we have in terms of properties not much changed by (low) alloying are:
• Parameters like Young's modulus Y, shear modulus G or Poisson's ratio n.
• The coefficient of thermal expansion a Fe.
• The thermal properties regarding energies resting with the atoms - heat capacity, heat of fusion, etc.
Electrical and thermal conductivity might also be included in the list above but are already borderline. These properties are defect sensitive in the sense that 1 % of something can induce far larger changes - but not extremely large changes. Changes induced in these cases always go in only one direction: alloying makes the property worse! That's because in both cases scattering of electrons or "phonons" at defects decrease the transport of electricity or heat energy, respectively, and thus always turn up the resistance.
Magnetic properties are also influenced by defects and thus may respond stronger than linearly to alloying. The effects, while not extremely pronounced, still make huge differences for applications .
Transformation temperatures (including the melting point) and the kind of phases that are stable are quite sensitive to alloying. That's what phase diagrams are all about, after all.

## Properties Strongly Affected By Alloying

I'm now looking at all kinds of alloys, i.e. low and high alloy steels. The list will include properties that are not particularly interesting for pure iron (and thus may never have been characterized in detail). The properties affected by alloying we might subdivide into:
• Mechanical properties
• Processing properties
• Ageing properties
• Special stuff
I have not listed "structure" as a property affected by alloying because, as you know by now, it is always the influence of alloying elements on the structure that causes all property changes.

 Mechanical Properties In essence, we have all the properties that describe the tensile test with numbers. This concerns in particular these quantities:. Yield stress RP or hardness. The yield stress denotes the onset of plastic deformation. It is determined in an eleborate and costly test. The much simpler hardness test measures essentially the same quantity but expresses it in different numbers. Ultimate tensile strength RM. The maximum stress a material can bear. Exceed it, and fracture will be unavoidable. Ductility or maximum elongation emax. Typically, the higher the yield stress RP, the smaller emax; "hard" materials tend to be more brittle. Inhomogeneous deformation or all the bad things associated with, e.g., "Lüders band formation". That's a typical "detail" to the science of plastic deformation that exercises the engineers no end! Then we have some fracture parameters like the the fracture toughness KIc and some more special parameters. Most important, we need to consider all these parameters as a function of temperature, to account for ductile-to-brittle transitions (DTB) or cold and hot shortness, in old-fashioned terms. Of course, alloying affects all these properties in a major way. Steel was "invented", so to speak, because there was an overwhelming need to increase the hardness of wrought iron. You know by now that if you want to increase hardness, the thing to do is to make dislocation movement in your alloy more difficult than in the pure material. This can be done by just having foreign atoms around, by producing precipitates like Fe3C (cementite), by enabling martensite formation, by keeping grain sizes small, or, quite generally, by having a high density of crystal defects in an optimized distribution. All of that responds to alloying. There are many examples all over the Hyperscript, so I won't dwell on this anymore.
Processing Properties
Processing includes making a piece of steel in the first place, and then doing something with it. If we exclude the basic making of steel from dirty iron and its first solidification in, e.g., continuous casting, key properties are:
• Hardenability
• Critical cooling rates and hardness depth.
• Machinability
• Workability
• Weldability
• Surface quality
Let's look at these topics one by one
Hardenability
The possibility to harden your material by quenching after you shaped it. "Plain" carbon steel was, after all, the only material with hardenability for millennia. Forge you blade, quench it in something cold - and the outside of it is now much harder. Try that with wrought iron, copper, bronze or about anything else readily available, and there is no such effect. Hardenability comes from martensite formation, and only (carbon) steel thus possesses the this property. Hardenability may be measured by the hardness depth achievable, see below.
Hardenability depends on forming metastable martensite directly from carbon-containing austenite instead of stable ferrite-cementite mixes. Hardenability thus gets better with increasing carbon concentration (as long as it is not too large) and with increasing stability of the austenite (i.e. decreasing A1 temperature) by alloying g-stabilizers. In both cases it gets more difficult to move the carbon out of the austenite during the available time, encouraging martensite formation. Of course, if the austenite is (meta)stable down to ambient temperatures, there is no more hardenability.
However, we now can harden a lot of materials by other means than quenching and martensite formation, and we do that extensively, e.g. as described for aluminum.
There are more and more steels too, that are hardened after shaping by heating and not by quenching, e.g. maraging steels or bake-hardening steels. Nevertheless, the term "hardenability" in a strict sense refers only to hardening through more or less rapid cooling.
Critical cooling rates and hardness depth.
If your steel has the basic property "hardenability", you need to know how fast you have to do the cooling. Generally you want to cool quickly as quickly as possible because time is money, but also without needing to do expensive tricks. You don't, for example, want to throw you steel into dragons blood as in the old times since this stuff comes dear. Whatever, you must cool faster than some critical cooling rate specified for your steel to get an appreciable effect
Since only surface-near parts can be cooled real fast, there is something called hardness depth. Below the hardness depth, cooling rates were not large enough to produce martensite and thus some hardening. This is all nicely illustrated by the Jominy test.
Simple carbon steels do not have a large hardness depth. Alloying the right way can decrease the critical cooling rate and thus increase the hardness depth considerably.
Don't forget: If you cool too fast, all kinds of things can go wrong because the large thermal gradients produce large stress. Maybe your steel simply gets too hard, maybe it bends, twists or even fractures. Of course, alloying affects this in major ways too.
Machinability
Many steel products need to be machined in some way before they are finished. You need to drill holes and possibly thread them, turn your piece on a lathe into some cylindrical geometry (possibly plus threads), or mill the surface to some required profile. You want do that as quickly as possible (time is money!), as precisely as needed, and with tools (drill bits, cutting tools, ..) that should last very long before their edges get dull and they have to be sharpened or replaced.
It's hard to put a number on machinability, but you know it when you experience it. The machinability of pudding, acrylic or stainless steel is far worse than that of mild carbon steel, if for quite different reasons.
If your steel is a given, you must gird your loins and machine it as best as you can. At least you can optimize the tools, e.g. by using high-speed tool steel.
If you have some leeway, you may want to use a special steel optimized for machinability and called "machine steel ". It has been alloyed in such a way (actually with a bit of the otherwise always very unwanted sulfur (S)) that it is particularly easy to machine.
Workability is a term that describes, in essence, the ease of shaping some piece of steel by plastic deformation. The terms formability and drawability are more or less synonymous. The term drawability goes back to the old technique of wire drawing through a die but now means "drawing" a sheet into a form or die to get a certain shape like a car fender.
Of course, workability is tied to ductility. If your material is barely ductile, you won't be able to change its shape very much by plastic deformation. Good drawability thus certainly needs good ductility - but that is not enough. The material should also deform homogeneously, isotropically, show little springback, and it should not develop ridges and bumps on the surface.
There are several comparatively simple tests for drawability. Most easily understood is the "deep drawing cup test". Take a thin round piece of the metal to be tested and "draw" it into a cup. If it works, it looks as shown in the picture on the right. In this case it's an Al cup but that doesn't matter for the principle.
What you can see is:

 Al Cup from a deep drawing test

• The deformation in the example is not isotropic. The presence of the "ears" proves that it is more difficult to draw the material in four perpendicular directions (related to the rolling direction of the sheet).
• The deformation is rather homogeneous. Apart from the anisotropy, it looks pretty much the same everywhere.
• How much you can draw the material - just keep at it until it starts to crack somewhere.
• The quality of the surface.
Springback is an unavoidable nuisance whenever you "draw" a part by plastic deformation. There is no plastic deformation without some elastic deformation first - the harder the material the more! When you take off the stress applied for the plastic deformation you wanted, the elastic part of the deformation will relax - your material springs back to some extent.
You cannot prevent that, you only can try to live with it.
Weldability
This means not only the possibility to join two pieces of the same metal by simple liquid or torch welding, but to do so without compromising other properties, in particular mechanical strength, at the weld seams.
When you do liquid or fusion welding, you liquefy the metal. Then it cools down "naturally" because there isn't much leeway to run all kinds of thermal profiles now. If your metal to be welded only contains low concentrations of alloying elements and cooled down naturally, chances are that the microstructure of the weld seam and the microstructure of the bulk metals are not too different. It follows that the properties should not be too different either.
In other words; you might expect that welding of pure metals should be possible without too many problems, and that this should still be true for mild steels and, hopefully, low-alloy steels with no particular "tricky" microstructure.
Contrariwise, if you went through great pains to establish a complex microstructure with all kinds of very small precipitates and metastable stuff like martensite, you can forget about (liquid) welding. That, of course, means that most if not all "high tech" alloys cannot be easily welded.
And that's only the start of problems! Far more severe ones come from the violent nature of welding and the exposure of the liquid metal to the gases: nitrogen and oxygen of the air and the hydrogen produced during welding.

 We have a big problem!

Welding, however, is absolutely essential for our civilization. That's why there are lots of F+E people out there, trying to find some way to enable some kind of welding for hard-to-weld alloys. Major industries depend on that. You simply cannot make cheap cars, ships, railways, pipelines, scyscrapers, and so on, if you can't weld the steel together. You can't make cheap airplanes from non-weldable steel either, you actually cannot make airplanes from any steel - they would be too heavy.
That's why you make expensive airplanes from non-weldable "high-tech" high-strength aluminum (Al) alloy and rivet / screw the parts together.
And that is one of the reasons why you and I do not own a major airplane: we can't afford it - in contrast to our welded cars. As a little consolation I give you the special welding science module.

 Special Stuff Last. I will go into a few special properties that are not so common as the ones above but nevertheless of some or even prime importance for some applications. Surface quality. The beginning of a car body is a huge roll of special steel. Great care was taken to have a rather perfect surface. Now you draw it into some part of a car body. Is the surface still nearly perfect or did it develop ridges, bumps and God knows what else, on a small but visible scale? So well visible that you still see it after the car body was painted! Then you have a huge problem! Your problem is tied to inhomogeneous plastic deformation in general, and all kinds of annoying details in particular. This module gives a taste treat. Magnetic and electric properties Extremely important properties if you treasure electricity in general. You will find everything of general interest relating to these properties here. Thermal properties Not very exciting. Except for Invar steel. Color, reflectance This is arguably the least important property of steel. If you agree, think about it. Together with the surface condition (polished, rough, ...) it actually determines what you see. Why steel looks like steel and you like .... yes? You might argue that while this is true in general, it's a boring truth for steel or metals because they all look alike: silvery grey, just like metals. Well, yes and no. Gold and copper are not silvery gray and different kinds of steel can look quite different, too. Making a pattern-welded show-off sword from two different steels only makes sense if the surfaces of those steels look different so you can see the pattern. Maybe it takes some etching before you see the two different steels but so what. Etching can only reveal differences that must come from different properties of different steels. So why do things look the way they look? I'm opening a rather large can of worms (or of science delights) here. I'm talking about the interaction of visible light and the surface of materials, here some steel (or metal). We want answers to question like: Why is gold yellowish, copper red-brownish, and the rest of metals silverish? Why are some steels bluish? What determines the small but well-visible differences between the silverish appearance of metals? Why, for example, appears steel containing a bit of phosphorus (P) somehow "whiter" than most other steels? For answers, we need to consider three ingredients: The topological condition of the surface. Is it polished or rough on some scale? Are there layers of something transparent on the surface? I'm not talking about visible rust or paint but very thin layers of transparent featureless oxides, nitrides, phosphides, whatever. The way the metals itself interacts with light. Gold will be golden in appearance, and silver will be silvery, no matter if polished, rough, matte or coated with something transparent and very thin. This topic is not of prime importance for modern steel but was of some importance in he making of pattern welded swords.

Overview of Major Steels: Scientific Steels

Science of Welding Steel

Overview of Major Steels

9.1.1 Things are Complicated

Phosphorous Steel; 9.4.1 General Remarks

Spring Model and Properties of Crystals

Magnetism

Alloying Elements in Detail

9.5.2 Kinds of Cast Iron

Science of Alloying

Jominy Test and Hardness Depth

Ductile to Brittle Transition or Cold Shortness

Creep

Inhomogeneous Deformation

Polishing Crystals

10.2.3 Smelting Wrought Iron, Steel and Cast Iron

Composite Materials

9.1.2 Problems with Alloying

Science of Uniaxial Deformation

Twinning, Shear Deformation and Martensite Formation

Riveting, Soldering, Liquid Welding Plus Gluing and Screwing

Cast Iron; 9.5.1 General Remarks

Some Phase Diagrams

Entropy

Overview of Major Steels: 1. Classifying Steels

9.2.1 A Closer Look at Low Alloy Steels

Fatigue

Overview of Major Steels

Corrosion of Iron and Steel

Thermal Stress

Science of Deformation

Fracture Mechanics II

Dislocation Science - 2. The Reality

Alloying Elements and Properties of Steel

12.3.5 Moment of Inertia

© H. Föll (Iron, Steel and Swords script)