wear down vs wear through

wear down

verb
  • To cause (someone) physical or mental fatigue. 

  • To eventually persuade or defeat (someone) through persistent effort. 

  • Used other than figuratively or idiomatically: see wear, down. 

wear through

verb
  • to use (something) too much so that a hole develops in it 

How often have the words wear down and wear through occurred in a corpus of books? (source: Google Ngram Viewer )