Contact problem for two microinhomogeneous half-spaces : Pmm vol. 43, no. 6. 1979. pp. 1082–1088

The interaction between two microinhomogeneous half-spaces in a macrohomogeneous stress-strain state is considered. The perturbation method is used to solve the problem. Finite expressions for the correlation functions and dispersion of deformations are obtained in the first order approximation. Numerical values of the coefficients characterizing the stress concentration at the boundary of interaction between the half-spaces are derived. The dependence of these coefficients on the ratio of elastic moduli of the media filling the half-spaces is studied. A particular solution of this problem for the case when the elastic moduli depend on two coordinates only, was given in 1].