Strength‐Size Relations in Ceramic Materials: Investigation of an Alumina Ceramic

Abstract

Bend strengths of two sizes of specimens of an alumina ceramic were determined under conditions that either enhanced or restricted sub critical crack growth. The specimen sizes differed in each linear dimension by a factor of five and the effective size of small specimens was varied by the use of both 3‐ and 4‐point bending. Strength was dependent on specimen size under both crack‐growth conditions, and the dependence was associated with variations in flaws at fracture origins. The experimental data were analyzed for applicability of Weibull's statistical relations and in terms of fractographic examinations of strength‐controlling flaws.

Predicting variability in the dynamic failure strength of brittle materials considering pre-existing flaws

“…That is, the smaller the size of the specimen, the higher the strength of the specimen (Bansal et al, 1976). Our simulations consider the entire flaw distribution, rather than just the weakest link, and thus capture a wider range of stochastic phenomena.…”

Mechanics-based statistics of failure risk of quasibrittle structures and size effect on safety factors

“…2e can produce, for one RVE, a cdf with two essential characteristics: (i) a power-law tail whose exponent m is Ϸ10-50, typical of Weibull moduli observed for various brittle materials, and (ii) a power-law tail reaching to P f ϭ 0.0001 to 0.01, which is a chain of 100-10,000 RVEs. For such sizes or larger, laboratory specimens of heterogeneous brittle materials follow the Weibull cdf (6,(20)(21)(22)(23)(24)(25)(26)(27)(28), whereas the behavior of the smallest possible test specimens of such materials can be described as Gaussian (29-33) (except for the far-left tail of histograms of strength tests that is normally undetectable).…”

Slow Crack Growth of a Pyroceram Glass Ceramic Under Static Fatigue Loading—Commonality of Slow Crack Growth in Advanced Ceramics

“…The material used in this work was Pyroceram™ 9606 glass ceramic, fabricated by Coming, Inc., (Coming, NY) [7]. The glass-ceramic material has been reported to be processed from a magnesium-aluminosilicate glass containing titania as a nucleating agent, and cordierite (2Mg0-2Al20 3-5Si02) is reported as the major crystalline phase [11], The material was cast from the glass melt and then subjected to a crystallization process [12]. A typical fracture surface of a test specimen in static fatigue (far away from the fracture origin) is presented in Fig.…”