Nick Winbush scored 14 points for the RedHawks (1-1). They were held to 33 percent shooting in losing their 15th straight game against ranked opponents.
Curry, the younger brother of Golden State guard Stephen Curry who sat out last season after transferring from Liberty, was 3 of 4 from 3-point range.
His production more than made up for an off night from preseason All-American Kyle Singler, who finished with eight points on 3-of-11 shooting and was held to single-digit scoring for just the second time in 27 games.
Mike Krzyzewski moved three wins shy of 800 at Duke and Nolan Smith added 10 points for the Blue Devils, who were barely tested in winning their 12th straight game dating to last season's run through the Atlantic Coast Conference and NCAA tournaments.
They picked up their 21st consecutive victory at home and extended their decade-long winning streak against nonconference teams at Cameron Indoor Stadium to 79.
But after two wins by an average of 30.5 points, things are about to get much tougher for the reigning national champions: The coming weeks feature matchups against either No. 11 Gonzaga or No. 3 Kansas State in the next stage of this tournament, a visit from No. 2 Michigan State and a neutral-site meeting with No. 16 Butler in a rematch of last season's title game.
Miami, the lowest-scoring team in Division I last season, had serious trouble generating good looks against a Duke defense that prides itself on using pressure to maintain a fast pace, create turnovers and turn them into easy transition baskets.
The RedHawks didn't get their first offensive rebound until there were about 5 minutes left in the half and didn't score on consecutive trips downcourt until the final minute before the break. By that point, it was a 20-point game, and they didn't get closer than 17 in the second half.
Miami's Allen Roberts, who was coming off a career-high 20 points against Towson, missed all four of his shots and didn't score.
The Blue Devils shot 46 percent in the first half and used two overwhelming runs to take control. Duke outscored the RedHawks 22-5 during an early 9-minute stretch that pushed their lead into double figures to stay, then made it a 20-point game with a 15-2 burst just before the break. Plumlee followed his missed free throw with a layup that gave the Blue Devils their largest lead of the half, 37-13, with 1:40 left.
Miami hasn't beaten a ranked team since an upset of Boston College in 2001. That was also the RedHawks' most recent victory against a team in the current configuration of the ACC.