rupture vs tear up

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

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

As verbs, tear up is a hyponym of rupture; that is, tear up is a word with a more specific, narrower meaning than rupture:

Other hyponyms of rupture include lacerate, pull, rend, rip, rive, rip up, shred.

rupture (noun)	tear up (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

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