フィレットの寸法の全範囲に対して正確な応力集中係数を与える計算式 : フィレット部を有する段付丸棒の引張り

概要

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In this work, stress concentration factors (SCFs) of a round bar with fillet K_t are considered on he basis of exact solutions now available for special cases and accurate numerical results. First, for he limiting cases of large and small values of the step including fillets, the body force method is used to calculate the SCFs ; then the formulas are obtained as K_<td> and K_<ts>. Here, K_<td> is a SCF of a deep shoulder fillet and K_<ts> is a SCF of a shoulder fillet in semi-infinite plate. 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 step is large or the radius of the fillet is small. On the other hand, if the step is small or the radius of the fillet is large, K_t is mainly controlled by K_<ts> and the relative step length. The fillet shape is classified into several groups according as the fillet radius and the step length ; 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 fillet in a round test specimen are proposed. The formulas yield SCFs for any shape of notch with less than 1% error in most cases.
一般社団法人日本機械学会の論文
2001-01-25