"an abrasive substance," 1850, from abrasive (adj.). Abradant in this sense is from 1868.
"tending to wear or rub off by friction," 1805, from Latin abras-, past participle stem of abradere "to scrape away, shave off" (see abrasion) + -ive. Figurative sense of "tending to provoke anger" is first recorded 1925. Related: Abrasively; abrasiveness.