Hertzian Pressures in depth
Dale, I must say, the more you offer to this forum, the more impressed I am with your complete knowledge of engineering!! I say this with the utmost respect!
I actually just learned what Hertzian pressures are from a coworker/professor about a month ago. I would love to offer a bit more than you, possibly in a manner that everyone can understand (and, since I have time to ramble on my lunchhour). Now, I don't know too much about this, nor the math behind it (yet!), but I was explained a simple example that really allowed me to understand. It goes something like this:
18 wheelers drive along the highways. The load each tire applies can be somewhat considered a point load (but it is actually a pressure=force/area). As this truck drives, each tire is actually deforming the road below it, however small it may be, but deforming it. This produces stresses in the surface material of the road.
Let us take a look at the upper 2 inches of asphault. Have you ever noticed that the highway often has patches of missing asphault (a.k.a. potholes!). If you start to notice these on certain roads, you will see that they are only about an inch deep, with good road surface below them. This is because of Hertzian pressures. What hertzian pressure tell us is that the area of highest stress on the material, is actually not the surface, but located some distance below the surface. Hence, why the pothole is only an inch deep, when there is 2-4 inches of asphault. The highest stress is an inch below the surface, causing that piece above it to sheer away from the piece below it, eventually "letting go" and creating a pothole.
Same applies to the rocker needles bearing, as Dale pointed out (of which, had he not pointed it out, I wouldn't have guessed it or thought about it, but now it makes perfect sense why these bearings fail).
Now, that is a generic example, actual numbers can vary blah blah blah.
This is also applicable to just about any bearing, I would believe.
Dale, did I get that right???