The paper presents a theory for contact stresses between a smooth and rough elastic cylinder. Three types of primary surface textures are considered: a peaked surface texture, a normal surface texture, and a grooved surface texture. The predicted contact stresses between a smooth and a rough surface are considerably higher than would be predicted by Hertz theory for smooth contact. In addition, when the rough surface has high peak asperities the contact stresses are higher than when the rough surface is grooved even though the average roughness is the same. A soft layer on the smooth surface can reduce the magnitude of the peak stresses.

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