The effect of strongly temperature-dependent viscosity on convection i
n the interior of Venus is studied systematically with the help of fin
ite element numerical models. For viscosity contrasts satisfying exper
imental constraints on the theology of rocks, Venus is likely to be in
the regime of stagnant Lid convection. This regime is characterized b
y the formation of a slowly creeping, very viscous lid on top of the m
antle-Venusian lithosphere and is in agreement with the tectonic style
observed on Venus. Stagnant Lid convection explains large geoid to to
pography ratios on Venus by the thermal thinning of a thick lithospher
e. The thickness of the Lithosphere can be as large as 400-550 km for
Beta Regio and 200-400 km on average. Geoid and topography data and ex
perimental data on the theology of rocks provide constraints on the vi
scosity of the mantle, 10(20)-10(21) Pa s; the convective stresses in
the interior, 0.2-0.5 MPa; the stresses in the lid, 100-200 MPa; the v
elocity in the interior, 0.5-3 cm yr(-1); and the heat flux beneath th
e lithosphere, 8-16 mW m(-2). Parameterized convection calculations of
thermal history of Venus are difficult to reconcile with a thick pres
ent-day lithosphere. However, a sufficiently thick lithosphere can be
formed if a convective regime with mobile plates was replaced by stagn
ant Lid convection around 0.5 b.y. ago. One of the possible explanatio
ns for the cessation of Venusian plate tectonics is that during the ev
olution of Venus, stresses in the lid dropped below the yield strength
of the lithosphere. This model predicts a drastic drop in the heat fl
ux, thickening of the lithosphere, and suppression of melting and is c
onsistent with the hypothesis of cessation of resurfacing on Venus aro
und 0.5 b.y. ago.