The non-deep thinkin' I only play a metallurgist on DoubleGun version
The makers of guns (and aircraft jet engines and fan blades) seek the optimal balance of
tensile strength (measured by resistance to deformation by stretching),
hardness/abrasion/wear resistance (measured by resistance to deformation by denting), and
ductility/brittleness (measured by the amount of plastic deformation before fracture and expressed as the % elongation in tensile testing)
Malleability is deformation under compressive stress, related to but not the same as hardness.
Manganese sulfate increases malleability. Done wrong, you get manganese sulfate 'stringers'. Too much phosphorus increases brittleness, which was why Swedish and Mesabi Range iron ores were of such value.
In carbon steels, more carbon = harder and stronger. Most turn-of-the-century actions were AISI 1020 which had the optimal balance of the 3 factors, and was easily case hardened. Obviously lock parts needed greater resistance to abrasion, and firing pins both strength and hardness. Barrels greater ductility.
Damascus barrels were made with Wrought Iron and 1002-1005 steel.
All 3 factors can be modified by heat treating, and today by cryogenic treatment, and of course alloys. Done wrong...things go wrong. Some Avis Gun Barrel Company/ American Gun Barrel Manufacturing Company Springfield 03' receivers failed related to improper heat treating.
Rockwell B Hardness.....Tensile strength
Grey Cast Iron - 63.....25,000 psi
Wrought Iron - 65........50,000 psi
AISI 1002 - 66.............40,000 psi
AISI 1020 - 68.............60,000 psi
AISI 1030 - 80.............70,000 psi
AISI 1040 - 93.............90,000 psi
A (uniformly) machined barrel segment loaded in the tensile machine and fitted with an extensometer.