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    Volume 46, Issue 5 (March 2018)

    Exact Analytical Durometer Hardness Scale Interconversion

    (Received 28 February 2017; accepted 25 April 2017)

    Published Online: 05 March 2018

    CODEN: JTEVAB

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    Abstract

    Previous work has related Young’s modulus to durometer hardness for any standardized scale. In this paper, we build on this work to solve explicitly and exactly for the hardness in any one standardized durometer hardness scale as a function of the hardness in any other target scale. We find that when the target scale is for a flat indenter, the conversion is algebraic and straightforward. However, when the target scale is for an indenter that is not flat (conical or hemispherical), the exact explicit analytical solution requires a power series inversion, said series involving beta functions and solutions to a set of integer equations. We complete our analysis with two worked examples illustrating the use of our interconversion equations and charts.

    Author Information:

    Gilbert, P. H.
    Chemical Engineering Department, Polymers Research Group, Kingston, ON

    Giacomin, A. J.
    Chemical Engineering Department, Polymers Research Group, Kingston, ON

    Mechanical and Materials Engineering Department, Queen’s University, Kingston, ON


    Stock #: JTE20170130

    ISSN:0090-3973

    DOI: 10.1520/JTE20170130

    Author
    Title Exact Analytical Durometer Hardness Scale Interconversion
    Symposium ,
    Committee D11