Simulating the three-dimensional morphology of rough surfaces based on Monte Carlo method

The 3D morphology of rough surfaces is crucial for the study of the mechanical properties of bolted joint surfaces. This article uses fractal statistical methods to discuss the distribution patterns of characteristic parameters that characterize micro convex bodies. This model combines the fractal theory's ability to describe rough surfaces with the randomness introduced by Monte Carlo methods. Based on the study of rough surface morphology, the following conclusions can be drawn: fractal dimension D and feature scale coefficient G are negatively correlated with the contour of rough surfaces. As the fractal dimension D increases and the characteristic scale coefficient G decreases, the fluctuation degree of the micro convex body decreases, and the surface becomes smoother. In addition, the fractal dimension D has a more significant impact on surface contour compared to the feature scale coefficient G.