rigidness vs toughness

rigidness

noun
  • Rigidity. 

toughness

noun
  • A formidable difficulty. 

  • Resistance to fracture when stressed, or the degree of such resistance. 

  • Fortitude; hardiness; mettle. 

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