Specific wear rate, nominal line contact — from scar depth and width
Archard specific wear rate for a line-contact (pin-on-ring) wear scar, computed from the scar depth and semi scar width, deriving the ring radius algebraically.
Scar (ring) radius, r36.49463786496351 mm
Wear volume, V18.26726675650879 mm³
Specific wear rate, k = V/(F·s)3.382827177131257 mm³/N·m
The ring-radius formula reproduces the legacy source’s own sign quirk (b²−h² instead of the algebraically-correct b²+h² inverse of c6_3a’s forward relation) verbatim — not corrected here, per this migration’s no-silent-fix rule. See c6_3a for the forward calculator (input ring radius + scar width, output scar depth).
Method & references
- Archard specific wear rate for a pin-on-ring line-contact scar, circular-segment volume.
The computation is a literal port of the original client-side JavaScript from /calculators/c6_3b.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.