On the Loading Surface of Microinhomogeneous Materials

Abstract. The main idea of the report is that the yield surface can be presented as thick, "foamed surface" with dimensionality exceeding two. By other words, perhaps, the yield surface is fractal, i.e. it belongs to the geometric objects with fractional dimensionality. Apparently, fractal structure of the yield surface is determined by the fractal structure of natural materials. Besides, the “cloud of internal stresses” term is introduced to describe the stress distribution in RVE. Its plastic flow is determined by the interaction of this cloud with the thick yield surface. Thick yield surface and internal stress cloud concepts allow to determine the additional correlation between micromechanical models of polycrystals and phenomenological theory of plasticity.