by Dept. of Energy, San Francisco Operations Office, for sale by the National Technical Information Service] in [Oakland, Calif.], [Springfield, Va .
Written in English
|Statement||by F. Ho ; prepared for the San Francisco Operations Office, Department of Energy.|
|Series||GA-A ; 15228|
|Contributions||General Atomic Company., United States. Dept. of Energy. San Francisco Operations Office.|
|The Physical Object|
|Pagination||v, 21 p. :|
|Number of Pages||21|
The Weibull statistical fracture theory is widely applied to the fracture of ceramic materials. The foundations of the Weibull theory for brittle fracture This theory predicts that brittle fracture strength is a function of size, stress distribution, and stress by: In other words, a reasonable power law distribution for large flaw sizes, classical fracture mechanics analysis and weakest link theory leads directly to the Weibull strength distribution. Today's engineers routinely utilize Weibull statistics for characterizing failure of brittle by: The modified Weibull failure theory was applied to two specimens, and the results showed the ability of the proposed theory to handle high stress gradients. The theory considers variable equivalent stress intensity factors along the faces of cracks; hence, it considers the strength of a specimen to be dependent on the stress : S. Ekwaro-Osire, M. P. H. Khandaker, K. Gautam. Handbooks on brittle material design are represented by Refs. 15 and The principal point of agreement of all of these works is that the Weibull approach has good utility for the design of brittle material components. For the same reason, the approach provides an excellent tool for safety evaluation studies of graphite reactor coreFile Size: 1MB.
Abstract. In probability theory and statistics, the Weibull distribution is a continuous probability distribution named after Waloddi Weibull who described it in detail in , although it was first identified by Fréchet and first applied by Rosin and Rammler to describe the size distribution of particles. prepared, are characterized by Weibull parameters 0 and m. The data Di are the observed stresses i at failure. The probability P ∣ 0,m d that failure occurs at stress between and d is given by Opti Tutorial The Weibull distribution in the strength File Size: KB. The fit of fracture strength data of brittle materials (Si(3)N(4), SiC, and ZnO) to the Weibull and normal distributions is compared in terms of the Akaike information criterion. For Si(3)N(4), the Weibull distribution fits the data better than the normal distribution, but for ZnO the result is just the opposite. material, the Weibull Distribution is practically and theoretically applicable to these studies. Through Weibull distribution analysis, both an estimation of the failure probability under a certain loading and the Weibull modulus which describes the 'brittleness' of .
using the strength data, measured with a number of structural ceramic materials and a glass material. An important implication of the present study is that the gamma or log-normal distribution function, in contrast to Weibull distribution, may describe more appropriately, in certain cases, the experimentally measured strength data. Strength reliability, one of the critical factors restricting wider use of brittle materials in various structural applications, is commonly characterized by Weibull strength distribution function. In the present work, the detailed statistical analysis of the strength data is carried out using a larger class of probability models including Weibull, normal, log-normal, gamma and generalized Cited by: The Weibull modulus is a dimensionless parameter of the Weibull distribution which is used to describe variability in measured material strength of brittle materials. For ceramics and other brittle materials, the maximum stress that a sample can be measured to withstand before failure may vary from specimen. brittle materials subjected to tensile stresses occurs as a result of stress enhancements generated by randomly dis-cording to Weibull’s two-parameter model, that is, if frac-ture can occur at any level of applied stress, the cumulative distribution x,y on the surface under tension can be ex-pressed as follows: P=1−exp − surf x,y m dx dy. 4.