A mathematical model of mechanical contact of bodies across a thin inhomogeneous layer

We obtain the generalized conditions of mechanical contact of bodies that model a thin inhomogeneous isotropic layer situated between them. The technique is based on the application of averaging of the equilibrium equations for the layer and the assumption of a cubic distribution of displacements over its thickness. Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 2, 1997, pp. 107–109.