In the second last paragraph of section 4 on page 716 of the paper, the descriptions (labelled (1) and (2)) that map
ϕ
provides for the two limiting behaviours for a viscoelastic solid are stated incorrectly and should be revised to:
(1) For the contact of an elastic solid (for which
D
is constant and
τ → ∞)
with another,
ϕ(p, t) ≈ 1 − exp[−(pD)c] for 0 ≤ t.
because
A(p,0) = A(p,∞),
since an elastic solid deforms at the instant of loading
(t = 0)
but not after that. Thus, at a given
p > 0,
the contact area quickly settles to some constant value. The contact area for the pair increases monotonically with the applied load but never exceeds its upper bound
A∞.
(2) When a viscous liquid (for which
D
is large and
τ → 0+)
is pressed against a solid to some high enough
p > 0,
ϕ(p, t) ≈ 1 − exp[−(pD)c] → 1-
for 0 < t.
Thus, the contact area for the pair approaches its upper bound
A∞
at relatively short dwell times.