HARDNESS GRAIN-SIZE RELATIONS IN CERAMICS

Both Vickers and Knoop hardness (H), measured at two or more loads in the range of 100-2000 g (most commonly 100 and 500 g) for a variety of dense oxide and non-oxide materials, covering a range of grain sizes (G), including single crystals where possible, were shown to generally be consistent with (often more limited) literature data. Apparently, conflicting trends of H (1) showing either no G dependence, (2) decrea sing from single-crystal or large G values with decreasing G, or (3) h aving the generally accepted increase with decreasing G are shown to b e due to the combination of the limited extent of data and H generally being determined by two basic trends. These two trends are (a) the no rmal inverse G (i.e., H-G-1/2) dependence at finer G, (b) a variable G minimum at intermediate G, and (c) H increasing with increasing G at larger G (to single-crystal values). The H minimum is due to local cra cking around the indent (mostly along grain boundaries), generally rea ching a maximum effect, e.g., minimum in H, when the indent and grain sizes are similar, and tends to be greater for Vickers vs Knoop indent s, higher loads and probably greater grain boundary impurity, additive contents, and stresses.