  The wetting of soft polymer substrates brings in multiple complexities as
compared to the wetting on rigid substrates. The contact angle of the liquid is
no longer governed by Young's law, but is affected by the substrate's bulk and
surface deformations. On top of that, elastic interfaces exhibit a surface
energy that depends on how much they are stretched -- a feature known as the
Shuttleworth effect (or as surface-elasticity). Here we present two models by
which we explore the wetting of drops in the presence of a strong Shuttleworth
effect. The first model is macroscopic in character and consistently accounts
for large deformations via a neo-Hookean elasticity. The second model is based
on a mesoscopic description of wetting, using a reduced description of the
substrate's elasticity. While the second model is more empirical in terms of
the elasticity, it enables a gradient dynamics formulation for soft wetting
dynamics. We provide a detailed comparison between the equilibrium states
predicted by the two models, from which we deduce robust features of soft
wetting in the presence of a strong Shuttleworth effect. Specifically, we show
that the (a)symmetry of the Shuttleworth effect between the "dry" and "wet"
states governs horizontal deformations in the substrate. Our results are
discussed in the light of recent experiments on the wettability of stretched
substrates.
