Mixing mesmerising slices with exquisite drop shots, explosive forehand winners and 11 aces, Australia's relentless top seed wasted minimal energy or time in setting up a last-16 date on Monday with unseeded American Alison Riske.
Riske's impressive recovery from a set down and eventual victory means that the American sets up a quarter-final meeting with compatriot Serena Williams.
Barty opened the match with four straight aces but landed only 40 percent of her first serves in the second set and was broken four times in total.
In a thrilling decider, both players slugged it out in long rallies before Riske found the decisive break, then served it out to seal the 3-6 6-2 6-3 victory.
"I think it's finding the balance", Barty said.More news: Griezmann defies Atletico Madrid by missing pre-season gathering - club
More news: One minor goring, four others injured in Spain's running of bulls
More news: Kiwi cyclist George Bennett wins team stage at Tour de France
"I had to play aggressive and take it to Ash and that's what I did today".
"Today was a great preparation for me going into the Serena match". "Tough one to swallow but I lost to a better player".
Alison Riske celebrates her win. To have overcome the matches the way I have is what I'm most excited about.
"I'm ready for a war".
A 200-1 outsider pre-tournament, Riske is riding an incredible wave of confidence and emotion after winning a tour-topping 14 matches on grass and judging by her post-match reaction to the win, playing at the All England club means an terrible lot. "The fact that it's at Wimbledon, my favourite grand slam, the place that I had always dreamed to be in the last eight club of - they can't kick me out now, I'm here to stay".
Williams is also playing mixed doubles with two-time men's champion Andy Murray and she says it's good for her game.
"She's the greatest athlete I think that's ever been on the women's side".
The only women's match at the Wimbledon Championships to reach 12-12 in the final set since 2000 was Georges vs Srebotnik in 2008.
Bertens, a quarter-finalist past year, saved match point in her second-round victory over Taylor Townsend but was unable to find the same powers of recovery as Strycova eased to a 7-5 6-1 victory.