Volume 20, Issue 1 (January 1992)

    Finite Element Method (FEM) Analysis of Elastic-Linear-Hardening Materials and Comparison with Measurements on Commercial Materials

    (Received 17 February 1991; accepted 3 June 1991)

    CODEN: JTEOAD

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    Abstract

    The Brinell hardness HB (kgf/mm2) of elastic-linear-hardening materials with various yield stresses σY (MPa) and hardening moduli H (MPa) is analyzed by a finite element method (FEM). The well known empirical formula for the ratio of tensile strength σB to HB, σB/HB ⋟ 3.5, does not hold for materals having a large relative strain hardening modulus HY, where H is defined by dσ/dε in the σ-ε curve. It is shown that the dimensionless stress-strain curves (σ/σY vs. ε) of elastic-linear-hardening materials and those of various commercial materials give the crucial measurement in determining the value of σB/HB. The ratio of σB/HB remains in the range of 3.2 to 3.8 if the relative strain hardening modulus HY at large strains is less than ∼2.5. Correlations between the stress-strain curve and indentation shape, plastic zone size, and residual stresses are also investigated.


    Author Information:

    Murakami, Y
    Professor and Graduate Student, Kyushu University, Fukuoka,

    Yuan, LP
    Professor and Graduate Student, Kyushu University, Fukuoka,


    Stock #: JTE11892J

    ISSN: 0090-3973

    DOI: 10.1520/JTE11892J

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    Title Finite Element Method (FEM) Analysis of Elastic-Linear-Hardening Materials and Comparison with Measurements on Commercial Materials
    Symposium , 0000-00-00
    Committee E08