ISSN:
1573-4803
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract This paper has adopted a theoretical viewpoint for studying fracture statistics in round bars subjected to torsion, and for determining the cumulative probabilities of fracture using Weibull's and Kies-Kittl's specific-risk functions for materials that exhibit volume and surface brittleness. The use of the integral equations method has allowed us to obtain the specific-risk-of-fracture function and, in addition, to carry out a separation between the volume part and surface part for materials which show both types of brittleness at the same time. Diagrams of the cumulative probability of fracture for commercial glass samples are plotted as a practical application. The parameters of Kies-Kittl's functions regarding torsion as well as those of Weibull's functions regarding bending are appraised employing nomograms and minimizing the chi-square, respectively. Dispersion of the same is determined resorting to Fisher's information matrix. The different forms of the statistical functions followed by the same material in the two tests are due to form and size influences of the crack originating the fracture.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01111901
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