き裂面接触問題における自由表面に対する傾斜角度の小さい表面き裂の解析と摩擦係数の影響

In this paper a singular integral equation method is applied to calculate the variation of stress intensity factors along the crack front of a 3 D oblique semi-elliptical surface crack when the whole of the crack surfaces are in contact each other. The body force method is used to formulate the problem as a system of singular integral equations. In the numerical solutions unknown body force densities are approximated using fundamental density functions and polynomials. The calculation shows that the present method yields rapidly converging numerical results and smooth variation of stress intensity factors along crack front even when the inclination angle between the crack and the free surface is small. The mode II and mode III stress intensity factors are shown when an inclined edge crack is subjected to compressive residual stresses or Hertzian contact loads with varying the inclination crack angle and friction coefficient.