Hermione is notorious for quoting Hogwarts, a History regarding protective enchantments, magic that makes Hogwarts Unplottable, and Muggle-repelling charms that hide Hogwarts from Muggle eyes and make the castle and grounds appear as an ancient ruin with "Danger" signs.
Are there circumstances under which a Muggle-repelling charm can be broken, such as with a charm or spell, Dark Magic, or a potion? What about a specific number of Muggles, Aurors, or beasts bearing down on the protected area?
ETA: I should have made triple sure to stress when asking my question that I'm talking about Muggle-repelling charms being broken, not lifted at will to allow the parents of Muggleborns to help their children shop for books at Flourish and Blotts, to see them off on the Hogwarts Express, or to visit their child at a time of need (or just if they want to visit their child in general at Hogwarts and make arrangements to do so). So I've emphasized "broken" in my question -- is there anything that can break a Muggle-repelling charm?
Here are some questions and answers that already deal with Muggles in the Wizarding world and/or Muggle-repelling charms and the issue of the families of Muggleborns having access to the Wizarding world:
Do Muggle parents visit their Muggleborn children at Hogwarts?
Who gets Muggleborn children onto Platform 93/4?
Why are some Muggles allowed to know about the Magical world?
Does the Invisibility Cloak work on Muggles?
Is a Squib a Muggle?
Can a Muggle become a potions-maker?
Are Muggleborn wizards automatically subject to Wizarding law?
I'm not interested in these above cases of the charm being lifted, but broken.
I'm looking for an answer based in canon -- the Harry Potter novels and the supplemental books, JKR interviews, or Pottermore information. I do not prefer an answer from the HP Wikia or the Wikipedia.