Abstract
In an elastic contact between two uneven surfaces, elastic bodies come in contact with each other smoothly along the inner and outer contact edges, and both edges shrink with the applied force. In the case of a small protrusion, we can approximate it as a parabolic one. So we analyze the three-dimensional elastic contact problem of an elastic layer pressed on a rigid base with a smooth parabolic protrusion and obtain the surface displacement and the contact stress, and make clear the influence of the thickness of the layer on these results.
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