damage vs injure

damage is a noun but injure is not a noun.

Word	Noun	Adjective	Verb	Adverb
damage	Yes	No	Yes	No
injure	No	No	Yes	No

As verbs, injure is a hyponym of damage; that is, injure is a word with a more specific, narrower meaning than damage:

damage (noun)	injure (noun)
the act of damaging something or someone
any harm or injury resulting from a violation of a legal right
the occurrence of a change for the worse
loss of military equipment
the amount of money needed to purchase something

damage (verb)	injure (verb)
inflict damage upon	cause injuries or bodily harm to
suffer or be susceptible to damage	cause damage or affect negatively
	hurt the feelings of