Set an improbable target of 468 late on day three, West Indies lost their final six wickets for 51 runs and were bowled out of 210 to hand India a 257-run win in the second test at Sabina Park on Monday
Second seed Nadal – the winner at Flushing Meadows in 2010, 2013 and 2017 – produced some electrifying moments of brilliance to end the challenge of Croatia's Marin Cilic 6-3, 3-6, 6-1, 6-2.
Australia will make at least one change, with star batsman Smith returning from the concussion he suffered after being hit by a 92mph Jofra Archer bouncer that ruled him out of the third Test.
Williams, a six-time US Open winner, romped to a 6-3, 6-4 victory over Croatian 22nd seed Petra Martic to set up a quarter-final with China's Wang Qiang, the conqueror of world number two Barty.
International Motoring Federation (FIA) race director Michael Masi said an investigation into the crash on Saturday that killed Formula Two driver Anthoine Hubert had already begun.