Adhesive contact of elastic solids with stohastic roughness


  • I. K. Valeeva Frantsevich Institute for Problems in Materials Science NAS of Ukraine, Krzhizhanovsky str., 3, 03142, Kyiv



Model of normal adhesive contact between elastic bodies with stochastic surface roughness is under consideration. Roughness is simulated by Winkler-Fuss nonlinear layer, which can resist to compressive and tensile (in the case of adhesion) contact stresses. Mechanical properties of the layer are determined by statistical theories of adhesive contact between nominally flat rough surfaces. The contact of solids is described by nonlinear boundary integral equations with non-monotonic operators. Their solutions determine reduction of effective thickness of rough layer, contact stresses, contact region, adhesion force. Formulas for adhesion force calculation are presented for the most frequent nominal gap between solids in contact for DMT–theory of contact.

Key words: adhesive interaction, contact of rough solids, adhesion force.

Pages of the article in the issue: 53 - 56

Language of the article: Ukrainian


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How to Cite

Valeeva, I. K. (2020). Adhesive contact of elastic solids with stohastic roughness. Bulletin of Taras Shevchenko National University of Kyiv. Physical and Mathematical Sciences, (1-2), 53–56.



Differential equations, mathematical physics and mechanics