Reliability and fracture statistics of highly vitrified ceramics: Effect of technical factors on strength distribution

Salem, Shiva; Salem, Amin

doi:10.1016/j.conbuildmat.2015.10.132

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…Among the many forms of Weibull distribution, two-parameter Weibull distribution is more accessible and commonly adopted in the statistical analysis of brittle material. The two parameters cumulative distribution function (CDF) is shown as [21]:…”

Section: Normal and Weibull Distributionmentioning

confidence: 99%

“…where 𝑅𝑅(𝜎𝜎 𝑖𝑖 ) is the cumulative failure probability; Weibull modulus 𝑁𝑁 is the distribution shape parameter, which represents the general behavior of the distribution, such as scattering of the data; 𝜎𝜎 𝜃𝜃 is the scale parameter and represents the characteristic strength in which the probability of failure is 63.2 % [21]. To obtain the Weibull distribution, the measured strength results were ordered from lowest to highest.…”

Section: Normal and Weibull Distributionmentioning

confidence: 99%

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Investigation of Statistical Distribution of C/C-SiC Composite’s Mechanical Properties

Xiu

Koch

2019

KEM

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Because of the excellent fracture toughness and oxidation resistance, carbon fiber reinforced silicon carbide (C/C-SiC or C/SiC) exhibits a sound potential in various application areas such as aerospace technology and high-performance braking systems. For the composite’s reliable design, production, examination, quality assurance and verification, however, the statistical distribution of mechanical properties is of crucial interest and has not been investigated in detail yet. In this work, the strength values of C/C-SiC composite, which was developed via Liquid Silicon Infiltration at the Institute of Structures and Design of German Aerospace Center (DLR), were measured under tensile, bending and compression load. The results were analyzed by normal and Weibull distribution statistics and verified by Kolmogorov–Smirnov-test (KS-test) and Anderson–Darling-test (AD-test). Based on the statistical analysis, the 4PB-strength of C/C-SiC composite can be better described by Weibull distribution. In comparison, normal distribution is more suitable for the compression strength. The influence of different numbers of coupons on the mechanical properties has been identified. A scanning electron microscope (SEM) was employed to analyze the fracture surface, which confirmed that the different statistical distribution of strength values was caused by various failure mechanisms.

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Section: Normal and Weibull Distributionmentioning

confidence: 99%

Section: Normal and Weibull Distributionmentioning

confidence: 99%

Investigation of Statistical Distribution of C/C-SiC Composite’s Mechanical Properties

Xiu

Koch

2019

KEM

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show abstract

“…With respect to the random variation of strength measured from a group of same sized specimens, many different statistical distribution functions have been adopted for empirical fitting of strength data, such as Weibull distribution in Ref. , normal distribution in Ref. , log‐normal distribution in Ref.…”

Section: Introductionmentioning

confidence: 99%

Statistical size scaling of ceramic strength

Lei

2018

J Am Ceram Soc

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This work is based on the belief that the uniform spatial distribution of flaws underlying Weibull statistics is not necessarily always true for all ceramics. The weakest-link statistics for a power-law spatial distribution of flaws is adopted to synchronize the size dependence and random variation of ceramic strength. Three sets of published strength data of ceramics from different sized specimens are used for this purpose. The assumption of power-law spatial distribution of flaws in ceramics is validated, with both uniform and nonuniform spatial distributions being showcased possible. For all the three case studies, there exists a master curve to correlate a compound parameter encompassing cumulative failure probability and size effect with the nominal fracture strength. K E Y W O R D Sceramics, size effect, statistical model, strength

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Influence of corundum content on integrity of porcelain after long-term exposure to thermo-mechanical fatigue environments

Kim

Moon

Kim

et al. 2021

Ceramics International

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Reliability and fracture statistics of highly vitrified ceramics: Effect of technical factors on strength distribution

Cited by 3 publications

References 15 publications

Investigation of Statistical Distribution of C/C-SiC Composite’s Mechanical Properties

Investigation of Statistical Distribution of C/C-SiC Composite’s Mechanical Properties

Statistical size scaling of ceramic strength

Influence of corundum content on integrity of porcelain after long-term exposure to thermo-mechanical fatigue environments

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