The random surface models are important to many statistical peak-based contact models of rough surfaces. Statistics of 3D surface topographies and 2D profiles are compared and their interrelationship examined for generated and measured common random engineering surfaces. The applicability of the spectral moments approach to random surface specification is checked. Parameters important in contact mechanics, like summit density, summit curvature and summit height obtained by their definitions and predicted by the spectral moment approach, as well as calculated directly from profiles are compared. Also, the values of plasticity index are computed using various methods. Good agreement is found between theory and measurement.
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