The effect of fractal surface topography on stress concentration factor

In this paper, a new method was proposed to build the finite element model of complex surface topography. Based on linear elastic mechanics, the stress concentration factors induced by surface topographies which are simulated by W-M fractal function were investigated under various degrees of measurement. And the relations between fractal parameters, profile moments and stress concentration factors were obtained. The results show that the stress concentration factor of fractal surface topography depends strongly on the resolution of the roughness-measuring instrument, the second profile moment can reflect the degree of stress concentration induced by surface topography, and the high frequency cut-off should be determined to evaluate the effect of surface topography on structural fatigue behavior.