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 : 円周切欠きを有する丸棒ねじり試験片

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In this work, stress concentration factors (SCFs) of a round bar with a circular-arc or V-sharped 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 notch 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. The effect of notch opening angle on the SCF is also considered for the limiting cases of deep and shallow notches.
2004-01-25