Contact (flash) temperature, ball-on-disk point contact (Ashby T-maps)
Bulk and flash frictional contact temperature rise for a ball-on-disk (point) contact via the Ashby T-maps method, from normal load, sliding velocity, friction coefficient, contact radius and material properties — no separate pin-length input.
Real/nominal contact area ratio, Ar/An0.02418308726942379
Asperity contact radius, r_j = 0.1e6/HB15.384615384615383 10⁻⁶ m
Bulk temperature rise, dT_bulk17.874835138070548 °C
Flash temperature rise, dT'_flash49.23482919181988 °C
Total contact temperature rise, dT66.65219414002952 °C
If Ar/An exceeds 1, the legacy source flags the input as out of range and zeroes all outputs; this port reproduces that clamp, and the same legacy `Ar` variable-reuse quirk as e3_1 (contact-temperature-flash-pin-on-disk) in the final dT blend.
Method & references
- Ashby, M.F., Abulawi, J., Kong, H.S., 1991, "Temperature maps for Frictional Heating in Dry sliding", Tribology Transactions, Vol.34, No.4, pp577-587.
- Johnson, K.L., 1968 — combined bulk/flash temperature blend dT = dTflash + (1 − Ar/An)·dTbulk.
The computation is a literal port of the original client-side JavaScript from /calculators/e3_2.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.