battle damage vs damage

battle damage and damage both are nouns.

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

As nouns, damage is a hypernym of battle damage; that is, damage is a word with a broader meaning than battle damage:

Other hypernyms of battle damage include equipment casualty.

battle damage (noun)	damage (noun)
loss of military equipment in battle	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

battle damage (verb)	damage (verb)
	inflict damage upon
	suffer or be susceptible to damage