We present a review of publications devoted to stress-strain state of structurally inhomogeneous bodies that are considered as agglomerations of adhesion-binding particles. We make a conclusion that a detailed analysis of the stress-strain state of such materials should include not only the discrete describing of the properties of deformation of separate phases and inter-phase layers, but also the solving of the contact problem for the complex of neighboring particles and this contact problem is of a mesoscopical characteristic dimension. In the most complicated variant of loading we have no information in advance about the stresses at the boundary of a region. In this case, we consider a system of coupling problems that includes internal contact problems (the contact problems for the particles) and the external contact problem (the macroscopic problem).