Design Data for Engineering Ceramics: A Review of the Flexure Test

Quinn, George D.; Morrell, R.

doi:10.1111/j.1151-2916.1991.tb08259.x

Cited by 187 publications

(95 citation statements)

References 72 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Finally, elemental failure is assumed to occur independently, meaning without mechanical interaction between elements, and with equal probability. Material failure is thus characterized by unstable catastrophic flaw propagation throughout the bulk of the solid, independently of the strength of the other elements encountered on the crack path [Batdorf and Crose, 1974;Batdorf and Heinisch, 1978;Bazant et al, 1991;Chao and Shetty, 1990;Lamon, 1988;Matthews et al, 1976;Quinn and Morrell, 1991;Scholten, 1993].…”

Section: Background On Weibull Weakest Link Theorymentioning

confidence: 99%

Failure behavior of single sand grains: Theory versus experiment

et al. 2011

View full text Add to dashboard Cite

[1] Grain-scale brittle fracture and grain rearrangement play an important role in controlling the compaction behavior of reservoir rocks during the early stages of burial. Therefore, the understanding of single-grain failure is important. We performed constant displacement rate crushing tests carried out on selected, well-rounded, single sand grains and on randomly sampled grains from different grain size (d) batches of pure quartz sand. Applying a Hertzian fracture mechanics model for grain crushing, the critical load at failure (F c ) data obtained for the selected grains were converted into an accurate estimate of the size of flaws associated with failure (c f ). Similarly, the distributed F c data obtained from the different batch samples were converted into distributions of grain failure stress. Weibull weakest link theory could not explain the observed grain failure behavior. On the contrary, the Hertzian grain failure criterion enabled the conversion of the distributed F c data, for the batch samples, into distributions of c f , assuming spherical grains, or of "effective" radius of curvature (r g ), characterizing contact surface asperities in the case of nonspherical grains. In contrast to the model of Zhang et al. (1990), our work shows that there is no clear physical basis for a grain size dependence of c f . However, since roundness data for dune sands exhibit a similar relation between r g and d, as seen in our grain size batches, it is inferred that the Hertzian fracture mechanics model assuming nonspherical grains with a distributed r g is the most physically reasonable model for grain failure.

show abstract

Section: Background On Weibull Weakest Link Theorymentioning

confidence: 99%

Failure behavior of single sand grains: Theory versus experiment

et al. 2011

View full text Add to dashboard Cite

show abstract

“…The reader is referred to papers by Prof. Uematsu in the Origins in Ceramics section of Appendix A for many examples. Quinn and Morrell's paper 118 has a useful review of a number of successful applications using Weibull analysis and it lists all of the assumptions necessary for Weibull strength scaling with size.…”

Section: -72mentioning

confidence: 99%

NIST Recommended Practice Guide Fractography of Ceramics and Glasses

Quinn¹

2016

Self Cite

108

View full text Add to dashboard Cite

“…The comparison of a 3-point versus a 4-point bending test is described in literature for various applications, like advanced dense ceramics [15][16][17][18] and polymers [19], but not for porous inorganic hollow fibers. In this paper, we demonstrate the pronounced influence of the measurement method on the reported strength value, and why it is crucial to not only report the measurement method, but also sample geometry and sample set size to allow comparison of reported strength values.…”

Section: Introductionmentioning

confidence: 99%

The mechanical strength of a ceramic porous hollow fiber

Wit

Daalen

Benes

2017

Journal of Membrane Science

View full text Add to dashboard Cite

The mechanical strength of inorganic porous hollow fibers is a critical constraint that limits their wide scale application. Various methods, including 3-point bending, 4-point bending, and diametrical compression are used for the quantification of the mechanical strength. Here, we show that these methods cannot be used in an interchangeable manner. For large sets of alumina hollow fibers, the parameters describing the cumulative probability of failure functions depend on the type of measurement, i.e., 3 or 4-point, the span size, and the measurement geometry. This implies that reporting data on mechanical properties of inorganic hollow fibers requires that extensive information about the experimental details is provided, and that a direct quantitative comparison between datasets is unjustifiable.The mechanical strength of the alumina hollow fibers tends to follow a normal distribution, or log-normal distribution, instead of the often used Weibull distribution. Monte Carlo simulations demonstrate that, especially at small sample set sizes, it is difficult to accurately determine the shape of the probability distribution. However, detailed knowledge of the type and the shape of this distribution function is essential when mechanical strength values are to be used in further design.

show abstract

Design Data for Engineering Ceramics: A Review of the Flexure Test

Cited by 187 publications

References 72 publications

Failure behavior of single sand grains: Theory versus experiment

Failure behavior of single sand grains: Theory versus experiment

NIST Recommended Practice Guide Fractography of Ceramics and Glasses

The mechanical strength of a ceramic porous hollow fiber

Contact Info

Product

Resources

About