Using cemented carbide as a form of showing fracture toughness with regard to matrix volume and carbide size is a double barrel IMO as cemented carbide is a completely different thing to compare to the steels we are using.
Yes the coarser carbide shows greater fracture toughness than the sub-micron, but the rest of the article shows that sub-micron cemented carbide has higher hardness and greater resistance to wear.
By that standards we would want less carbides in our steels because it would give us greater hardness, resistance to compression and greater wear resistance.
You apparently misread those charts, we want
MORE carbides of smaller size to increase hardness and wear - hardness and wear increase as carbides get finer and
more prevalent (highest at 95% submicron carbides), it decreases as %Co the non-carbide matrix increases (lowest at 75% carbide, 25% matrix on those charts). Decreasing carbide size while maintaining the
same carbide content improves wear-resistance, as does increasing carbide content.
This is opposite to what has been marketed in our cutlery steel and what we know with regards to abrasive wear resistance in our knife steels based on research done by Verhoeven and Totten etc. IMO to bring in cemented carbide really muddies the water far more than we need to. Totten states that one should not compare steels that fall in different categories such as HSS to HSLA etc as there are too many variables.
I agree, it muddies the waters, but it helps clarify how CPM-154 can be as tough or tougher than AEB-L while also being more wear-resistant, and it is specifically NOT the "opposite" of what is being marketed in regard to cutlery steel.
With regards to the linear path etc and the matrix I have not read anything to really contradict "Crack growth is governed mainly by the content, size and distribution of the primary carbides and the mechanical properties of the matrix. The content of primary carbides is determined by the amount of carbon and carbide forming elements like chromium, molybdenum, vanadium, tungsten and niobium. These elements improve wear resistance and hardness of the material but impair toughness,because of their strong tendency to segregate during solidification." (J. Blaha, C. Krempaszky, E.A. Werner and W. Liebfahrt (2006). CARBIDE DISTRIBUTION EFFECTS IN COLD WORK TOOL STEELS. 6TH INTERNATIONAL TOOLING CONFERENCE. Page 290)
Though PM process does improve the distribution etc of carbide and the matrix compared to ingot versions, IMO, the carbide content and larger size of the carbides will still more likely cause fracture growth in CPM-154 to occur than AEB-L based on the articles and books that I have read.
We are not even yet discussing grain size and matrix relation.
I was recently introduced to stress corrosion cracking (SCC) and corrosion fatigue on a project that I am working on and how carbides etc affect that. Really interesting but doubt knives will ever be exposed to those conditions.
The bolded part is absolutely
fundamental to the principle. Again, crack propagation follows the path of least resistance usually at the grain-boundaries where carbides aggregate. The boundary around a carbides is especially weak, the path through the matrix grain-boundaries is much tougher, and toughest is the path
through a carbide (i.e. cracking it apart). Crack initiation can begin at an inclusion of ANY size be it the boundary of a 2um carbide or a 10um carbide, but propagation of the crack requires a path to follow that is as close to linear as possible for dispersing the energy/stress inducing said crack. Thus propagating cracks
around large carbides is more difficult than around small carbides which have have a greater surface area-to-volume ratio. What gives AEB-L an advantage over higher carbide ingot steels is that those small carbides are dispersed with a greater amount of matrix between carbides whereas steels like 154CM and 440C may have large carbide-aggregates with their associated weak boundaries spanning great distances through the steel so there is less need for the crack to proceed through tougher matrix to achieve the same amount of damage = lower fracture toughness. But when those aggregates are broken up to eliminate those clear paths and put more matrix between, the fracture toughness of the material increases (as shown by the PM marketing/publications including the CPM-3V patent and also by the work on cemented carbide previously illustrated in the marketing chart). The effect is SO great that a steel like CPM-3V can achieve even impact toughness some 50% higher than a tough ingot-steel like A2 with the same carbide load. HOW the carbides are distributed is
essential to fracture-toughness behavior based on how that behavior (crack propagation) actually occurs, i.e. following paths of least resistance.
So which has a greater impact on fracture toughness - carbide size or carbide distribution or carbide load? In cemented carbide, impact toughness is measured at levels 10-fold below that of cutlery steel due to the much-higher carbide content (as previously described), it's not possible to differentiate between them on the scale used for steels as crack initiation and propagation proceeds too easily, they are that brittle. For fracture toughness (a slow-load stress-test), a larger carbide creates a less-linear boundary-path for a crack to follow thereby increasing fracture toughness, the sub-micron WC-Co cannot attain the level of toughness of the coarse WC-Co without a SUBSTANTIAL reduction in carbide-content (and associated wear-resistance) in the latter.
But what about in steel that has much lower carbide percentages? CPM-3V has 4-5% carbide and presents 85-ft.lbs of impact toughness at 58Rc, A2 steel has the same carbide load and presents only 33-ft.lbs at the same hardness. S-7 tool steel has HALF the carbide load of CPM-3V (~2%) and presents 85-ft.lbs at 59Rc, i.e. the same toughness achieved at half the carbide load of a PM-steel.
http://www.crucibleservice.com/eselector/prodbyapp/plastics/cpm3vp.html
http://www.crucibleservice.com/eselector/prodbyapp/plastics/airkoolp.html
http://www.crucible.com/eselector/prodbyapp/plastics/crus7p.html
But what about higher-carbide PM vs ingot steels? Again, look back to the 3V patent chart at D2 and D7 steels compared to PM 12Cr4V (essentially S30V) - the PM presents substantially higher impact toughness than ingot-steel with the same carbide load and the same toughness as ingot-steel with a substantially reduced carbide load. The evidence is there as to which matters more for toughness - carbide load vs size/distribution of that load. The difference is in how easy it is for a crack to propagate around carbides or across matrix.
With regard to slow-load fracture-toughness in steels, geometry must be taken
very thin to differentiate between them if Landes work is taken as the standard (and this required careful application of forces and minute measurement to discern), establishing classes based on how thin an edge can taken and remain "stable" against side-loads, thin enough that one loses much in the way of practical application for generalized (as opposed to highly specialized) cutlery wherein most every steel requires a sufficiently stout geometry to endure the varied stresses it will be subjected to in use. A favorite reference of mine is Steve Elliot's work on planer blades where he found that going below 30-degrees inclusive in his use offers
no performance advantage and
significant durability issues on steels that Landes would classify as
highly stable. In
numerous writings on the subject, professionals discourage going below a similar angle for a wide variety of tasks and all using "edge stable" steels. And even Verhoeven's experiments showed that sharpening to angles sufficiently low for distinguishing high and low-carbide steels could prove challenging depending on the hardness of the steel and the skill/equipment of the sharpener due to burrs and plastic deformation of an edge with too little supporting material. I have seen the micrographs of "edge stable" razor-blades used to cut stock-paper, not pretty.
So what is the take away? 1) Geometry is king and 2) the PM process can make a steel as tough as one with half the carbide load because how those carbides are distributed is most relevant to the ease with which a crack propagates.