Adhesion of two elastic conforming solids with a single interface gap |
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| Authors: | K Chumak S Chizhik R Martynyak |
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| Affiliation: | 1. Department of Mathematical Problems of Contact Mechanics, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine, 3-b Naukova Str., Lviv 79060, Ukrainechumakostya@i.ua;3. Laboratory of Nanoprocesses and Nanotechnology, A.V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus, 15 P. Brovka Str., Minsk 220072, Belarus;4. Department of Mathematical Problems of Contact Mechanics, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine, 3-b Naukova Str., Lviv 79060, Ukraine |
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| Abstract: | The adhesive contact between a half-space with a single surface micro-groove and a flat half-space is investigated. Surface interaction is described by the Maugis–Dugdale adhesion model. The contact problem is reduced to a singular integral equation for a height of the interface gap, which is solved analytically. For evaluating widths of the gap and the adhesion zone, a system of two transcendental equations is obtained, which is solved numerically. Three stable equilibrium states are found. The gap width-applied pressure curves are characterized by discontinuities and hysteresis. The effects of the maximum groove height and the adhesive stress on the adhesive contact are studied. It is shown that the adhesion hysteresis is greater for smaller grooves and larger adhesive stresses. |
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| Keywords: | adhesion Maugis–Dugdale model conforming solids surface micro-groove interface gap adhesion hysteresis |
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