有限要素法によるビッカース硬さの解析

概要

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A particular formulation of the three-dimensional finite-element method relevant to the analysis of the Vickers hardness is established. The Vickers hardness of 0.46% carbon steel and 70/30 brass is analyzed by the proposed method using the stress-strain curve of the tensile test. The calculated results are in good agreement with the experimental results on 0.46% steel and 70/30 brass. The extension of the plastic zone induced by the indentation of an indenter is investigated by the analysis. The stresses at the maximum load are investigated and are compared with the residual stresses after complete removal of the load. At the maximum load, there is no tensile stress in the vicinity of the indenter. On the contrary, after removal of the load, there is large tensile residual stress at the diagonal edge beneath the indentation in the direction perpendicular to the diagonal edge. These results imply that it is necessary to reconsider the validity and accuracy of the conventional indentation method used for the determination of K_<1c> of brittle materials such as ceramics.
1991-07-25