The Calibration Functions of the Arc-Shaped Bend Specimen

    Volume 29, Issue 4 (July 2001)

    ISSN: 0090-3973

    CODEN: JTEOAD

    Page Count: 9


    Donoso, JR
    Professor and student, Universidad Técnica Federico Santa María, Valparaíso,

    Basáez, F
    Professor and student, Universidad Técnica Federico Santa María, Valparaíso,

    Landes, JD
    Professor, the University of Tennessee, Knoxville, TN

    (Received 7 August 2000; accepted 26 February 2001)

    Abstract

    The geometry functions of the Common Format Equation developed by Donoso and Landes were evaluated for the arc-shaped bend specimen. A(B), with a span-to-width ratio S/W of 4 and r1/r2 = 0.95. The specimen geometry functions, Gel = C*BW(b/W)μ, and Gpl = CBW(b/W)m, in the elastic and the plastic range, respectively, were numerically computed with the aid of a two-dimensional, nonlinear, plane strain finite element analysis. The elastic solution, in the form of an elastic compliance, was compared to values obtained in the concise format from the K-solutions of ASTM E 1290. The plastic solution, on the other hand, was compared with available experimental values. The numerical results showed μ = ηe1 = 2,1185 and m = ηpl = 2,0894 for the A(B) specimen analyzed. As is the case with other bend-type specimen geometry, μ ≈ m, which indicates that the J-integral may be computed as one single integral form, in terms of total displacement. For this, it is proposed to use as eta values (clastic and plastic) for the A(B) specimen, the same values of μ derived from the K-solution, dependent on the size ratio r1/r2.


    Paper ID: JTE12268J

    DOI: 10.1520/JTE12268J

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    Author
    Title The Calibration Functions of the Arc-Shaped Bend Specimen
    Symposium , 0000-00-00
    Committee E08