Analysis of strength data using two- and three-parameter Weibull models

Curtis, Richard; Juszczyk, Andrzej S

doi:10.1023/a:1004361222711

Cited by 44 publications

(14 citation statements)

References 2 publications

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“…as a function of In [26]. However, the use of the two-parameter Weibull approach can lead to overestimation of m and a high m value does not necessarily mean higher reliability [41,42]. In addition, there's always a significant deviation from the straight fitting line at low values of In when the two-parameter model is adopted.…”

Section: Flexural Strength Results and Discussionmentioning

confidence: 99%

Correlation between K+-Na+ diffusion coefficient and flexural strength of chemically tempered aluminosilicate glass

Jiang

Wang

et al. 2017

Journal of Non-Crystalline Solids

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The correlation between K + -Na + diffusion coefficient and mechanical properties of chemically tempered and hybrid tempered (chemically tempered subsequent to thermally tempered) aluminosilicate glass are investigated. Firstly, the potassium ion concentration profiles are experimentally measured and the diffusion coefficient is calculated according to the Boltzmann-Matano approach. Secondly, the flexure strength and Weibull modulus are determined using a combined experimental (coaxial double ring) and finite element analysis method. The results indicate that the flexural strength decreases with the diffusion coefficient of the air side for both types of glass samples while there is no significant relationship between diffusion coefficient and Weibull modulus. Diffusion coefficient on air side shows a higher value than that of the tin side. With the same diffusion coefficient, the flexural strength of chemically tempered glasses are found to be higher than that for hybrid tempered glasses. The effect of diffusion coefficient on modulus of rupture (MOR) for hybrid tempered glass is more remarkable. These results would be useful in designing the strength of glass and guiding the strengthening process by chemical or hybrid tempering.

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Section: Flexural Strength Results and Discussionmentioning

confidence: 99%

Correlation between K+-Na+ diffusion coefficient and flexural strength of chemically tempered aluminosilicate glass

Jiang

Wang

et al. 2017

Journal of Non-Crystalline Solids

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“…The equation for X and Y (double logarithm of the median rank) -values were given in Eqs. (1) and (2), respectively [12,13]. In this case, the F(x), which denotes the cumulative fraction of the mechanical delamination strength values, was accurately estimated by Bernard's median rank shown in Eq.…”

Section: Mechanical Delamination Strengthmentioning

confidence: 99%

Delamination behaviors of GdBCO CC tapes under different transverse loading conditions

Gorospe¹,

Bautista²,

Shin³

2015

Progress in Superconductivity and Cryogenics

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In superconducting coil applications particularly in wet wound coils, coated conductor (CC) tapes are subjected to different type of stresses. These include hoop stress acting along the length of the CC tape and the Lorentz force acting perpendicular to the CC tape's surface. Since the latter is commonly associated with delamination problem of multi-layered CC tapes, more understanding and attention on the delamination phenomena induced in the case of coil applications are needed. Difference on the coefficient of thermal expansion (CTE) of each constituent layer of the CC tape, the bobbin, and the impregnating materials is the main causes of delamination in CC tapes when subjected to thermal cycling. The CC tape might also experience cyclic loading due to the energizing scheme (on -off) during operation. In the design of degradation-free superconducting coils, therefore, characterization of the delamination behaviors including mechanism and strength in REBCO CC tapes becomes critical. In this study, transverse tensile tests were conducted under different loading conditions using different size of upper anvils on the GdBCO CC tapes. The mechanical and electromechanical delamination strength behaviors of the CC tapes under transverse tensile loading were examined and a two-parameter Weibull distribution analysis was conducted in statistical aspects. As a result, the CC tape showed similar range of mechanical delamination strength regardless of cross-head speed adopted. On the other hand, cyclic loading might have affected the CC tape in both upper anvil sizes adopted.

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“…Statistical analysis of the test results using Weibull distribution 28 helps us to better understand the mechanical behavior of the coated fibers. As can be seen in Fig.…”

Section: Resultsmentioning

confidence: 99%

Carbothermal Synthesis of Al‐O‐N Coatings Increasing Strength of SiC Fibers

Chen

Gogotsi

2004

Int J Applied Ceramic Tech

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Non‐bridging Al‐O‐N coatings have been synthesized on the surface of Tyranno ZMI SiC fibers by a low‐cost carbothermal nitridation method. First, a nanoporous carbide‐derived carbon (CDC) layer is produced on the surface of SiC fiber by the extraction of Si with chlorine; the CDC layer on the fiber is then infiltrated by AlCl3 solution, and finally nitrided in ammonia at atmospheric pressure to produce the coating. The intermediate carbon layer acts as a template for the coating, facilitates the formation of aluminum oxynitride, and helps to build a strong bonding between the fiber and coating. Optimization of the process parameters led to a more than 65% improvement in the tensile strength (up to ∼5.1 GPa) and a three‐time increase in the Weibull modulus for the fiber with 200 nm coating compared to the as‐received fibers. The coated fiber exceeds the strength of all other small‐diameter SiC fibers reported in the literature. Al‐O‐N coating may also provide oxidation protection for the fibers in high‐temperature applications.

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Analysis of strength data using two- and three-parameter Weibull models

Cited by 44 publications

References 2 publications

Correlation between K+-Na+ diffusion coefficient and flexural strength of chemically tempered aluminosilicate glass

Correlation between K+-Na+ diffusion coefficient and flexural strength of chemically tempered aluminosilicate glass

Delamination behaviors of GdBCO CC tapes under different transverse loading conditions

Carbothermal Synthesis of Al‐O‐N Coatings Increasing Strength of SiC Fibers

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