Accurate Determination of System Compliance and Young’s Modulus for Single Fibers

    Volume 8, Issue 2 (February 2011)

    ISSN: 1546-962X

    CODEN: JAIOAD

    Published Online: 21 December 2010

    Page Count: 11


    Ash, J. T.
    Ph.D. Candidate, Materials Engineering and Science Program, South Dakota School of Mines and Technology, Rapid City, SD

    Cross, W. M.
    Associate Professor, Materials and Metallurgical Engineering Dept., South Dakota School of Mines and Technology, Rapid City, SD

    Kellar, J. J.
    Professor, Materials and Metallurgical Engineering Dept., South Dakota School of Mines and Technology, Rapid City, SD

    Kjerengtroen, L.
    Professor, Mechanical Engineering Dept., South Dakota School of Mines and Technology, Rapid City, SD

    (Received 16 July 2010; accepted 23 November 2010)

    Abstract

    Single fiber testing was conducted utilizing the ASTM D3379-89e1 standard to measure the Young’s modulus for optical glass fibers. Upon analyzing the experimental data, it was discovered that procedural methods to account for system compliance resulted in a source of uncertainty due to the 12.6 % fiber diameter variability between different fibers tested. As a result, the 86.8 GPa Young’s modulus determined included a significant 43.9 % uncertainty. A new method of data analysis was devised to take into account this fiber diameter variability, which lowered the uncertainty to 7.5 % and provided a Young’s modulus of 61.4 GPa. Comparisons were made with the more recent ASTM C1557-03 standard that gave a similar 61.3 GPa Young’s modulus. A large bias error of 41.6 % exists between the Young’s modulus values determined by the two standard methods. The various analytical methods are discussed along with their estimates of uncertainty, the impact on micro-mechanics, and how to lower this uncertainty further.


    Paper ID: JAI103273

    DOI: 10.1520/JAI103273

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    Author
    Title Accurate Determination of System Compliance and Young’s Modulus for Single Fibers
    Symposium , 0000-00-00
    Committee C28