Abstract
Various elastoplastic constitutive equation providing the fundamental base of elastoplasticity have been proposed up to present. Among them only the subloading surface model has the pertinent structure fulfilling the mechanical requirements for constitutive equations. In this article the basic structure and the main features of the subloading surface model are shown and the present advancement of the model is described. Further, the wide applicability and the high ability of the future development for the synthetic description of mechanical behavior of solids from the elastoplastic deformation of solids to the friction phenomena between solids are described.