Room Temperature Tensile Strength of Ain

Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture

“…(10), for which the strength threshold vanishes (Weibull, 1939;Bansal et al, 1976a, b;Ito et al, 1981;Katayama and Hattori, 1982;Matsusue et al, 1982;Soma et al, 1985;Bru¨hner-Foit and Munz, 1989;Katz et al, 1993;Lu et al, 2002b). However, for heterogeneous brittle materials, such as concrete, or coarse-grained or transformationtoughened ceramics, the Weibull cdf with zero threshold has been found insufficient, and it has generally been believed that one must use a three-parameter Weibull cdf, having a nonzero threshold s u , i.e.,…”

“…For concrete specimens, as it appears, statistical samples with N eq 4500 do not exist. However, test data for fine-grained ceramics cover this kind of size, and they show a distinctly Weibull cdf (e.g., Weibull, 1939;Bansal et al 1976a, b;Ito et al, 1981;Katayama and Hattori, 1982;Matsusue et al, 1982;Soma et al, 1985;Ohji, 1988;Amar et al, 1989;Hattori et al, 1989;Bru¨hner-Foit and Munz, 1989;Quinn, 1990;Quinn and Morrell, 1991;Katz et al, 1993;Gehrke et al, 1993;Danzer and Lube, 1996;Sato et al, 1996;Lu et al, 2002a;Santos et al, 2003). This justifies Hypothesis II.…”