scholarly journals Is Weibull distribution the most appropriate statistical strength distribution for brittle materials?

2009 ◽  
Vol 35 (1) ◽  
pp. 237-246 ◽  
Author(s):  
Bikramjit Basu ◽  
Devesh Tiwari ◽  
Debasis Kundu ◽  
Rajesh Prasad
Keyword(s):  
Weibull Distribution ◽  
Brittle Materials ◽  
Strength Distribution ◽  
Statistical Strength

scholarly journals Influence of Surface Treatment on Strength Distribution of Vita VMK 68 Dental Porcelains

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Serkan Nohut ◽  
Ahmet Tasdemir ◽  
Suleyman Aykut Korkmaz
Keyword(s):  
Distribution Function ◽  
Weibull Distribution ◽  
Statistical Model ◽  
Surface Treatment ◽  
Goodness Of Fit ◽  
Strength Distribution ◽  
Surface Treatments ◽  
Bending Test ◽  
Dental Ceramics ◽  
Weibull Distribution Function

Weibull distribution function is the most commonly used statistical model for the investigation of mechanical properties of dental ceramics and design process with dental ceramics. However, it is still unclear whether the Weibull distribution function is the most appropriate function for fitting the strength data of dental ceramics with different surface treatments. In this paper, three-point bending test results of feldspathic body porcelain (Vita VMK 68) specimens with four different surface treatments are analysed. According to goodness-of-fit tests (Anderson-Darling test, Kolmogorov-Smirnov test, and Akaike information criterion), it is shown that the type of surface treatment has an important influence on deviation of strength distribution from perfect Weibull statistics. It is concluded that estimation of the most suitable statistical model for Vita VMK 68 is not only a material-dependent but also a process-dependent (machining of the specimens) procedure.

Analysis of Flexure Strength Data of Ceramics

1983 ◽  
Vol 105 (3) ◽  
pp. 219-223 ◽  
Author(s):  
S. G. Seshadri ◽  
M. Srinivasan
Keyword(s):  
Strength Distribution ◽  
Service Performance ◽  
Parameter Estimates ◽  
Reliability Data ◽  
Flexure Strength ◽  
Statistical Strength ◽  
Strength Data ◽  
Weibull Parameters ◽  
Surface Flaws ◽  
Test Population

A method to obtain the two and three Weibull parameters from the statistical strength distribution of ceramics, when either surface flaws or volumetric flaws govern fracture, is outlined. The advantages of obtaining confidence in the parameter estimates are given realizing the flaw severity variations within a test population. The inadequacy of testing a very limited number of specimens to gather reliability data to assess service performance is discussed.

scholarly journals Impact of Blending on Strength Distribution of Ambient Cured Metakaolin and Palm Oil Fuel Ash Based Geopolymer Mortar

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Taliat Ola Yusuf ◽  
Mohammad Ismail ◽  
Jamilu Usman ◽  
Ainul H. Noruzman
Keyword(s):  
Weibull Distribution ◽  
Palm Oil ◽  
Strength Distribution ◽  
Palm Oil Fuel Ash ◽  
Compression Failure ◽  
Flexural Failure ◽  
Fuel Ash ◽  
Porous Microstructure ◽  
Oil Fuel ◽  
Comprehensive Characterization

This paper investigates the influence of blending of metakaolin with silica rich palm oil fuel ash (POFA) on the strength distribution of geopolymer mortar. The broadness of strength distribution of quasi-brittle to brittle materials depends strongly on the existence of flaws such as voids, microcracks, and impurities in the material. Blending of materials containing alumina and silica with the objective of improving the performance of geopolymer makes comprehensive characterization necessary. The Weibull distribution is used to study the strength distribution and the reliability of geopolymer mortar specimens prepared from 100% metakaolin, 50% and 70% palm and cured under ambient condition. Mortar prisms and cubes were used to test the materials in flexure and compression, respectively, at 28 days and the results were analyzed using Weibull distribution. In flexure, Weibull modulus increased with POFA replacement, indicating reduced broadness of strength distribution from an increased homogeneity of the material. Modulus, however, decreased with increase in replacement of POFA in the specimens tested under compression. It is concluded that Weibull distribution is suitable for analyses of the blended geopolymer system. While porous microstructure is mainly responsible for flexural failure, heterogeneity of reaction relics is responsible for the compression failure.

scholarly journals Microstructure and Weibull distribution of rupture strength of clay-talc ceramics

Cerâmica ◽  
2019 ◽  
Vol 65 (374) ◽  
pp. 240-245 ◽  
Author(s):  
L. Zerbo ◽  
M. Seynou ◽  
B. Sorgho ◽  
G. Lecomte-Nana ◽  
M. Gomina ◽  
...  
Keyword(s):  
Weibull Distribution ◽  
Weibull Modulus ◽  
Size Range ◽  
Rupture Strength ◽  
Strength Distribution ◽  
Distribution Model ◽  
Homogeneous Microstructure ◽  
Average Value ◽  
Linear Behavior ◽  
Multi Stage

Abstract The mechanical properties of clay-talc ceramics containing 0 to 10 wt% of talc fired at 1100 °C were obtained by flexural measurements. With the average value of flexural strength of 23.1 MPa, the sample with 5 wt% of talc (G5) was the strongest and it had the lowest value of interconnected pore (64%). The scattering of strength values was described with the Weibull distribution model. For all samples, Weibull plots showed either a typical linear behavior or a multi-stage response and the Weibull modulus varied in a large range of 3 to 14, depending on the ceramic type and on the applied load. Interconnections between pores formed a network of possible failures under the stress field, resulting in a change of Weibull plots. Reducing the grain size range and the pore interconnectivity led to a reduced strength distribution. The flaw size range had a unimodal distribution for sample G5 with homogeneous microstructure and correspondingly a Weibull modulus m=9.79.

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