On the relationship between the parameters of the distributions of fiber diameters, breaking loads, and fiber strengths

E. Lara-Curzio, C. M. Russ

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

A Monte Carlo simulation was conducted to determine the error in the determination of Weibull parameters when fiber strengths are calculated as the ratio of the experimentally-determined breaking loads and the average of the fiber cross-sectional areas. The parameters of the distribution of modified fiber strengths diverge from the actual parameters with increasing dispersion in the distribution of fiber diameters: specifically the Weibull modulus decreases while the characteristic strength increases with increasing dispersion in fiber diameters.

Original languageEnglish
Pages (from-to)2041-2044
Number of pages4
JournalJournal of Materials Science Letters
Volume18
Issue number24
DOIs
StatePublished - 1999

Funding

This work was sponsored by the U.S. Department of Energy, Assistant Secretary for Energy Efficiency and Renewable Energy, Office of Industrial Technologies, Industrial Energy Efficiency Division, Continuous Fiber-reinforced Ceramic Composites Program under contract, DE-AC05-96OR22464 with Lockheed Martin Energy Research Corporation. C. M. Russ is grateful for the financial support provided by the Oak Ridge Institute for Science and Engineering to spend the summer of 1998 at Oak Ridge National Laboratory as part of the professional Internship Program. The authors thank their colleagues P. F. Becher, A. E. Pasto and K. Breder for reviewing the manuscript.

FundersFunder number
Office of Industrial TechnologiesDE-AC05-96OR22464
U.S. Department of Energy
Lockheed Martin Corporation
Office of Energy Efficiency and Renewable Energy
Oak Ridge National Laboratory
Oak Ridge Institute for Science and Education

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