It's not just growth. It's crank flex, compressing the hydrodynamic wedge in the main and rod bearings, big end deflection, rod strectch, wrist pin deflection, piston rock, thermal expansion of alum being right at double that of iron, etc... (man, with that laundry list I'm surprised it's not .400"
)
I don't think those general rules are based on any hardcore engineering. I think they're more of a general rule that's been proven over and over as times went by. I rarely buy into a 'rule' that applies to all engines as most of those are way too overlysimplistic and repeated as gospel(and get on my nerves). Example.. shaving .005" off a head is 1CC... it doesn't matter if your combustion chamber is 2 square inches or an ocean liner with a 8 foot bore... 5thou = 1cc!
With automotive engines the .040" thing is kinda accurate as the bore sizes don't vary in the big grand scheme of things, and piston to cyl clearances don't vary that much (also in the big scheme of things). I'm pretty sure if you put a 2" tall slipper piston in an ocean liner with a 9 foot bore, you'd need more than .040" or if you made our Buick engine zing up to 50,000, you'd definitely need more than .040" too
I believe it was Bison that posted a couple weeks ago about running .035". I said something about it and he mentioned he creeped up on that number with head deckings and was starting to see first signs of pistons making kissy face with the head.
I'm not an engineer but I did attend a sex convention at a Holiday Inn once... I would guess the math would be thermal expansion of the piston due to operating temps and it's alloy. Big end deflection of the rod coupled with the modulus of elasticity of the rod material (and wrist pin) from the weight of the piston and it's kinetic energy at the top. (plus any rocking motion that might come from an asymmetrical crown moving the CofG somewhere other than the centerline of the wristpin pivot point)... oh, and some other stuff too. I haven't started drinking yet
We do get a little bit of help with the inertial stuff at TDC exhaust. Since we run a pressurized exhaust system, the piston hits an air cushion that helps absorb the piston to keep heading north. That's the reason aluminium rods last so much longer in a turbo engine than a non turbo.