延性破壊におけるだ円空孔成長モデル

概要

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A simple void growth model in ductile fracture is proposed. The model is that an elliptic void grows under the plane strain condition in an infinite material, which has a rate-dependent constitutive equation of the exponential type. Assuming that the void maintains elliptic shape during the growth process, a simple analytical relationship is derived through the use of kinematical relationships of the elements. On this basis, the void growth process is simulated by simple calculations. The applied parameters are the triaxiality of uniform remote stress, the initial shape of the void (aspect ratio of the ellipse) and the exponent of the constitutive equation. It is shown that there is a very strong dependence of void elongation on the exponent of the constitutive equation, and that the initial circular void elongates in the perpendicular direction to the loading axis when the exponent is large enough. In general the growth rate and shape are determined by the combinations of stress triaxiality, exponent of constitutive equation and initial shape of void. These relationships are quantitatively obtained by the analysis.
一般社団法人日本機械学会の論文
1992-12-25