I shouldn't post again (supposed to give up BF for Lent) but...
That second equation, which I assume is for less flexible materials, seems to require ONLY a 52% increase in work needed going from 10 to 15 degrees per side (tan(15)/tan(10)).
I inserted a word into your post. Keep in mind that
tan(10) presents a 102% increase over
tan(5) while tan(15) is
ONLY 52% greater than tan(10). On a relative scale,
that advantage is minimal if h2 is minimal. The advantage between 5-degrees per side (10 inclusive) gets smaller as you climb to 45-dps (468% increase over 10-dps). The graph of Y=tan(X) is non-linear.
Furthermore, the ratio ignores the reality of precision measurement, or rather a lack thereof. Work is measured in Joules of energy, and while there may be easy to detect a difference between 10 Joules and 100 Joules, it is harder to detect a difference between 1 and 10 Joules, even harder between 0.1 and 1 Joules, each a 10X difference. For reference, it takes 1 Joule of work to lift 1 apple (~0.1kg) 1 meter. Are you sufficiently sensitive to the difference in weight that you could tell if you were lifting 1/10 of that apple vs. 1/100? Keep in mind that
your finger might be heavier than 10g. If you used 2 knives, each 0.010" thick at the shoulder, one 10-dps the other 15-dps and had to make a cut 0.020" deep (height of the 15-dps bevel) with this equation, i posit that
you could not tell the difference between them because the level of energy required to make the cut may be less than your ability to detect and the difference is
ONLY 50% higher for the 15-dps.
And again, that is only IF you can achieve and maintain a true 10-dps which, according to professionals and professors even on razor-blades, can be challenging if the steel is insufficiently hard or you have poor technique sharpening. If it is NOT so hard to achieve or difficult to maintain, Go for it! :thumbup: Just know that if the edge chips or rolls, depending on how deep the damage goes you don't necessarily need to re-profile the edge to a higher angle, just put a slightly higher angle
on the very edge, i.e. a microbevel, and you may see a
substantial jump in durability.
It'd be interesting to know who you are, your 1st post being to this thread and in response to that single post that is actually pretty off topic...