You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On the Distribution of the Breaking Strain of a Bundle of Brittle Elastic Fibers
James U. Gleaton and James D. Lynch
Advances in Applied Probability
Vol. 36, No. 1 (Mar., 2004), pp. 98-115
Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/1428355
Page Count: 18
You can always find the topics here!Topics: Statistical mechanics, Entropy, Probability distributions, Energy levels, Random variables, Thermodynamics, Energy value, Information theory, Degrees of freedom, Hookes law
Were these topics helpful?See somethings inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
The maximum-entropy formalism developed by E. T. Jaynes is applied to the breaking strain of a bundle of fibers of various cross-sectional areas. When the bundle is subjected to a tensile load, and it is assumed that Hooke's law applies up to the breaking strain of the fibers, it is proved that the survival strain distribution for a fiber in the bundle is restricted to a certain class consisting of generalizations of the log-logistic distribution. Since Jaynes's formalism is a generalization of statistical thermodynamics, parallels are drawn between concepts in thermodynamics and in the theory of inhomogeneous bundles of fibers. In particular, heat transfer corresponds to damage to the bundle in the form of broken fibers, and the negative reciprocal of the parameter corresponding to thermodynamic temperature is the resistance of the bundle to damage.
Advances in Applied Probability © 2004 Applied Probability Trust