They never trailed and had little trouble winning their fifth straight, shooting 48.5 percent, forcing 22 turnovers and turning them into 25 points.
Elon's 48 points were a season-low allowed by Duke, and at no point in the game did the Phoenix (7-7) have more field goals than turnovers.
Ryley Beaumont and Lucas Troutman scored 11 points each for the Phoenix, who shot 35 percent and fell to 1-26 against ACC opponents since their 1999 move to Division I.
Dawkins set season highs with 20 points and six 3-pointers three days earlier against Eastern Michigan. He finished this one with five 3s -- including four during the first-half run that gave Duke an insurmountable lead.
For the first time this season, Duke didn't have a player reach the 20-point mark.
Hood -- a 17.6-point scorer -- was 4 of 12 in this one after managing just eight points against Eastern Michigan while playing through an illness.
But the Blue Devils didn't need much from him to end a two-game losing streak at the Greensboro Coliseum -- where they've won seven ACC tournaments under coach Mike Krzyzewski and in three months will go for their eighth.
Dawkins wasn't around for the last loss -- an 83-74 clunker in the quarterfinals of last year's ACC tournament -- because he spent last season away from the team for personal reasons.
But he certainly shot better than he did in his last visit here -- Duke's stunning loss to 15th-seeded Lehigh in the 2012 NCAA tournament, in which Dawkins missed seven of his nine attempts.
He turned the decisive run in this one into a personal game of around the horn, hitting 3s from the corner, wing and key during the 22-7 run that effectively ended this one at halftime.
His 3 from the right corner off an inbounds pass capped the burst and made it 26-9 with 7 1/2 minutes before the break.
Cook gave Duke its first 20-point lead when his 3 from the corner made it 33-11 with about 3 1/2 minutes left in the half. The Blue Devils then reeled off the first eight points of the second half and went up by 30 on Sulaimon's 3 with 11 minutes left.
Since making the Division I jump, the Phoenix have yet to finish closer than 22 points against Duke.