Analysis of Vickers Hardness by the Finite Element Method

[+] Author and Article Information
Y. Murakami

Department of Mechanical Science and Engineering, Faculty of Engineering, Kyushu University, Hakozaki, Fukuoka 812

K. Matsuda

Department of Mechanical Engineering, Kyushu Institute of Technology, Kitakyushu 804, Japan

J. Appl. Mech 61(4), 822-828 (Dec 01, 1994) (7 pages) doi:10.1115/1.2901563 History: Received October 30, 1992; Revised May 22, 1993; Online March 31, 2008


A particular formulation of the three-dimensional finite element method specifically for analyzing the Vickers hardness test is established. The Vickers hardness of 0.46 percent carbon steel and 70/30 brass is calculated using the proposed method using the stress-strain curve obtained from a tensile test. The calculated values correlate well with the experimental results for 0.46 percent steel and 70/30 brass. In addition, the analysis predicts the extension of the plastic zone induced by indentation, the stresses at the maximum load, and the residual stresses present after complete removal of the load. At the maximum load there are no tensile stresses in the vicinity of the indenter. However, after removal of the load, large tensile residual stresses are present on the diagonal edge beneath the indentation in the direction perpendicular to the diagonal edge. These results imply that it is necessary to reconsider the accuracy and validity of the conventional indentation method used for the determination of K lc for brittle materials such as ceramics.

Copyright © 1994 by The American Society of Mechanical Engineers
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