切欠き形状の全範囲に対して正確な応力集中係数を与える計算式 : 鋭い60°V形および鈍い円弧形切欠きを有する丸棒引張試験片

概要

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In this work, stress concentration factors (SCFs) of a round bar with a circular-arc or V-shaped notch K_t are considered on the basis of exact solutions for special cases and accurate numerical results. First, for the limiting cases of deep and shallow notches, the body force method is used to calculate the SCFs ; then, the formulas are obtained as K_<td> and K_<ts>. On the one hand. upon comparison of K_t and K_<td>. it is found that K_t is nearly equal to K_<td> if the notch is deep or blunt. On the other hand. if the notch is sharp or shallow, K_t is mainly controlled by K_<ts> and the notch depth. The notch shape is classified into several groups according to the notch radius and depth ; then, the least squares method is applied for calculation of K_t/K_<td> and K_t/K_<ts>. Finally. a set of convenient formulas useful for any shape of notch in a round test specimen is proposed. The formulas yield SCFs with less than 1% error for any shape of notch.
一般社団法人日本機械学会の論文
1997-09-25