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We consider an adhesive contact between a thin soft layer on a rigidsubstrate and a rigid cylindrical indenter ("line contact") with account of thesurface tension of the layer. First, it is shown that the boundary conditionfor the surface outside the contact area is given by the constant contact angle- as in the case of fluids in contact with solid surfaces. In the approximationof thin layer and under usual assumptions of small indentation and smallinclination angles of the surface, the problem is solved analytically.

Adhesive and non-adhesive contact of a rigid indenter and a thin elastic layer with surface tension