tear up vs rupture

tear up is not a noun while rupture is a noun.

Word	Noun	Adjective	Verb	Adverb
tear up	No	No	Yes	No
rupture	Yes	No	Yes	No

As verbs, rupture is a hypernym of tear up; that is, rupture is a word with a broader meaning than tear up:

Other hypernyms of tear up include bust, snap, tear.

tear up (noun)	rupture (noun)
	the act of making a sudden noisy break
	a personal or social separation (as between opposing factions)
	state of being torn or burst open

tear up (verb)	rupture (verb)
tear into shreds	separate or cause to separate abruptly