EFFECTS OF HEIGHT DISTRIBUTION AND PSD ON THE ROUGH SURFACE ELASTOPLASTIC CONTACT BEHAVIOR

Accurate modeling and analysis of rough surface contact behavior represent a significant research topic in tribology and engineering. Current studies primarily focus on rough surfaces with Gaussian height distributions and fractal power spectral density, while relatively limited research exists on contact behaviors of surfaces with non-Gaussian and non-fractal distributions. This paper employs numerical methods to generate rough surfaces characterized by three height distribution laws (Gaussian, Weibull, and bimodal distributions) and two power spectral density function forms (fractal and exponential functions). The frictionless elastoplastic contact problems of rough surfaces are solved using boundary integral and volume integral methods combined with Fourier transform-accelerated numerical technique. Additionally, finite element simulations of rough surface contact are conducted to validate the accuracy and efficiency of the numerical approach. The proposed method further investigates how height distribution laws and power spectral density impact total contact area, spot area distribution patterns, and contact pressure distribution under elastoplastic deformation conditions. These findings provide theoretical support for studying critical interfacial phenomena in electrical connectors, including friction, wear, heat transfer, and electrical conductivity at contact surfaces.