鋭いV形切欠きを有する丸棒の曲げにおける混合モードの一般化応力拡大係数 K_<I,λ_1>, K_<II,λ_2>, K_<III,λ_4>

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In this study, generalized stress intensity factors K_<I,λ_1>, K_<II,λ_2>, and K_<III,λ_4> are calculated for a V-shaped notched round bar under bending using the singular integral equation of the body force method. The body force method is used to formulate the problem as a system of singular integral equations with Cauchy-type or logarithmic-type singularities, where the unknown functions are the densities of body forces distributed in an infinite body. In order to analyze the problem accurately, the unknown functions are expressed as piecewise smooth functions using two types of fundamental densities and power series, where the fundamental densities are chosen to represent the symmetric stress singularity of 1/γ^<1-λ_1> and the skew-symmetric stress singularity of 1/γ^<1-λ_2>, and 1/γ^<1-λ_4>. Then, generalized stress intensity factors at the notch tip are systematically calculated for various shapes of V-shaped notches. The accuracy of Benthem-Koiter's formula proposed for a circumferential crack is also examined through the comparison with the present analysis.
一般社団法人日本機械学会の論文
2001-06-25