Jim Marlatt led the Irish attack with a career-high five goals, and freshman Matt Kavanagh scored four for Notre Dame (1-0). Sean Rogers and Steve Murphy each scored twice for the Fighting Irish.
The Notre Dame defense, which led the nation last season in goals-against average, stymied a Duke offense that averaged 16.5 goals in its first two games this season. Senior goalie John Kemp made 10 saves for the Fighting Irish.
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"I felt our defense played really smart today and John Kemp was terrific in goal," Notre Dame coach Kevin Corrigan said.
Marlatt opened the scoring with 8:56 left in the first quarter. Murphy made it 2-0 just over two minutes later.
Kavanagh scored his first college goal early in the second quarter with an assist from Ryan Foley. Murphy used an assist from Nick Ossello to put home his second goal and make it 4-0. Murphy's two goals matched a career high.
Another goal by Kavanagh midway through the second quarter pushed the lead to five, and Marlatt made it 6-0 with 2:55 left in the opening half.
Duke (1-2) finally scored with 39 seconds remaining in the half on a goal by Myles Jones. The Blue Devils' celebration was short-lived as Marlatt and Kavanagh each scored in the final 13 seconds of the half.
No. 14 Massachusetts 12, No. 6 North Carolina 11: Back-to-back unassisted goals by Grant Whiteway and Connor Mooney in the final five minutes capped a UMass rally as the host Minutemen outscored the Tar Heels 4-0 in the fourth quarter to win.
The Minutemen (2-0) have not lost a regular-season game since 2011 and continued that string with a fierce second-half rally that erased a 7-4 UNC halftime lead.
A balanced scoring attack led the Minutemen as they got three goals from Kyle Smith and three from Mooney. Andrew Sokol scored twice for UMass, and his two scores early in the fourth quarter pulled the Minutemen with a single goal and set the stage for the late-game heroics. Whiteway also had two goals for UMass, which had seven unassisted goals.
Carolina (1-1) had two goals each from Marcus Holman, Jimmy Bitter and Spencer Parks.
No. 12 Virginia 13, Drexel 12, OT: Eleven seconds into overtime, Matt White scored his fourth goal of the game to give the host Cavaliers (1-0) the win.
The win gives Virginia its sixth straight season-opening win over the Dragons (0-1).
No. 7 Colgate 13, Vermont 7: Brendon McCann scored a game-high five goals and Peter Baum, the 2012 Tewaaraton winner, had three to lead the Raiders (2-0) past the host Catamounts (0-1).
No. 8 Lehigh 11, Villanova 9: Dante Fantoni scored four goals and the Mountain Hawks held off a Wildcats rally to improve to 2-0 for the first time since 2000 and end a six-game losing streak to Villanova (0-1).
No. 16 Fairfield 8, Bryant 6: The visiting Stags (1-0) outscored the Bulldogs (0-2) 5-1 in the final 15:20 to win.
No. 20 St. John's 11, Holy Cross 9: The Red Storm (1-0) led by Kieran McArdle with three goals, defeated the host Crusaders (0-1).