========== Hertz' contact
If rounded parts press against an other, a lower Young's modulus E spreads the force on more area, and a big yield strength σ prevents permanent deformations. Useful at ball or cylinder bearings, and elsewhere.
Hertz (Heinrich, yes) gave models and formulas for spheres, cylinders and more, given in the excellent
Dubbel, Taschenbuch für den Maschinenbau - available at
amazon.de -
amazon.com - and elsewhere
C:Festigkeitslehre > 4: Beanspruchung bei Berührung zweier Körper (Hertzsche Formeln) (Hertzian contact stresses)
The material's factors σ
3/E
2 and σ
2/E multiply the bearing capability of spheres and cylinders of given dimensions. This table compares the
merit of Ams' amorphous alloys and other materials at round contacts.
| Z1 T1 N1 | C-steel SSteel
====================================================
σ MPa | 1700 ~2000 ~3000 | ~3000 ~2300
E GPa | 82 96 170 | 209 215
====================================================
Sphere | 0.76M 0.87M 0.93M | 0.62M 0.26M
Cylinder | 35M 42M 53M | 43M 25M
====================================================Amorphous alloys may excel at round contacts, depending on better data. One manufacturer considers
bearing races. Try balls, cylinders and needles too! The stress being shallow, amorphous alloys can be a layer on steel elements. Amorphous alloys
resist corrosion and may outperform stainless steel and ceramic bearings.
The developers claim that Ams alloys show smaller losses than hardened steel. Bearings could rotate more easily, say to store electricity. Endurance is experimental.
========== Resist flat shocks
Density ρ and Young's modulus E define a material's wave impedance Z = (ρE)
0.5. A part losing a speed ΔV experiences a pressure wave P=ΔV×Z that deforms the part permanently if exceeding the yield strength σ.
The part design matters much and the material contributes the factor-of-merit σ/(ρE)
0.5. In my experience, yield strength lets survive repeated shocks, while resilience and damping are useless or detrimental, as for ball bearings or cyclic stress. I did
not try truly brittle materials.
This table compares the
merit of Ams' amorphous alloys and other materials upon flat shocks.
| Z1 T1 N1 | RSA-707 Ti-662 C-steel SSteel
=====================================================================
σ MPa | 1700 ~2000 ~3000 | 850 1100 ~3000 ~2300
ρ kg/m3 | 6620 5900 8500 | ~2900 4540 7850 7700
E GPa | 82 96 170 | 71 116 209 215
=====================================================================
m/s | 73 84 79 | 59 48 74 57
=====================================================================According to the table, these three
amorphous alloys excel at shocks and they offer varied properties. They even
resist corrosion.
========== Shocks at round parts
The direction of a shock is rarely accurate, so the parts are designed round. This table compares σ
3/(E
2Z) = σ
3/(ρE
5)
0.5 as approximate
merits of materials at shocks between round parts.
| Z1 T1 N1 | RSA-707 Ti-662 C-steel SSteel
=====================================================================
σ MPa | 1700 ~2000 ~3000 | 850 1100 ~3000 ~2300
ρ kg/m3 | 6620 5900 8500 | ~2900 4540 7850 7700
E GPa | 82 96 170 | 71 116 209 215
=====================================================================
Merit | 0.031 0.036 0.025 | 0.008 0.015 0.015 0.006
=====================================================================Amorphous alloys lead more here. Their
corrosion resistance is welcome too, as shocks can burst a protective layer.
Marc Schaefer, aka Enthalpy