Sheehey pumped in 22 points while Zeller provided 19 and nine rebounds as the Hoosiers (23-3, 11-2 Big Ten) nailed down their third straight victory.
Christian Watford (14 points) and Jordan Hulls (11) also reached double figures for Indiana, which reeled off its eighth triumph in nine contests overall.
The Boilermakers (12-14, 5-8) got 11 points each from Terone Johnson and Anthony Johnson in the loss.
Jessica Simpson shares three-way kiss with friends in photo
Senate Democrats to pull all-nighter on climate change