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The spreading of a liquid over a solid material is a key process in a widerange of applications. While this phenomenon is well understood when the solidis undeformable, its "soft" counterpart is still ill-understood and noconsensus has been reached with regards to the physical mechanisms ruling thespreading of liquid drops over soft deformable materials. In this work we showthat the motion of a triple line on a soft elastomer is opposed both bynonlinear localized capillary and visco-elastic forces. We give an explicitanalytic formula relating the dynamic contact angle of a moving drop with itsvelocity for arbitrary rheology. We then specialize this formula to theexperimentally relevant case of elastomers with Chasset-Thirion (power-law)type of rheologies. The theoretical prediction are in very good agreement withexperimental data, without any adjustable parameters. Finally, we show that thenonlinear force balance presented in this work can also be used to recover theclassical de Gennes model of wetting.

Nonlinear force balance at moving contact lines