wear down vs wear off

wear down and wear off both are verbs.

Word	Noun	Adjective	Verb	Adverb
wear down	No	No	Yes	No
wear off	No	No	Yes	No

As verbs, wear down and wear off are synonyms defined as:

Other synonyms of wear down include wear, wear out, wear thin.

wear down (verb)	wear off (verb)
exhaust or get tired through overuse or great strain or stress	deteriorate through use or stress
deteriorate through use or stress	diminish, as by friction