ISSN: 1945-7553
CODEN: JTEVAB
Page Count: 10

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

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

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

(Received 17 February 1991; accepted 3 June 1991)

Abstract

The Brinell hardness H_B (kgf/mm²) of elastic-linear-hardening materials with various yield stresses σ_Y (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 σ_B to H_B, σ_B/H_B ⋟ 3.5, does not hold for materals having a large relative strain hardening modulus H/σ_Y, where H is defined by dσ/dε in the σ-ε curve. It is shown that the dimensionless stress-strain curves (σ/σ_Y vs. ε) of elastic-linear-hardening materials and those of various commercial materials give the crucial measurement in determining the value of σ_B/H_B. The ratio of σ_B/H_B remains in the range of 3.2 to 3.8 if the relative strain hardening modulus H/σ_Y 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.

Keywords:
Brinell hardness, finite element method, elastic-linear-hardening material, strain hardening modulus, relative strain hardening modulus, tensile strength, yield stress, residual stress, plastic zone

Paper ID: JTE11892J
DOI: 10.1520/JTE11892J
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