Senyk Y. Modeling and researching of size effects in electroconductive bodies

In the dissertation, mathematical models of a solid body were built, taking into account the structural heterogeneity of the material and the geometric heterogeneity of the real surface of the body. Using the proposed mathematical models, the effects caused by local inhomogeneity in elastic, electroconductive non-ferromagnetic solids of a simple geometric configuration were investigated. The effect of taking into account the dependences on the density of local Young's modulus and Poisson's ratio on the size effects of surface stresses in the layer and its strength limit is considered. Using the methods of thermodynamics of non-equilibrium processes, a system of equations was formulated that describes the steady state of an electrically conductive non-ferromagnetic thermoelastic solid. The emergence of the material structure is taken into account by postulating an irreversible component of the mass flow vector. Taking into account the sources of mass allows you to correctly take into account the "near-surface mass defect" characteristic of well-known models built according to the locally gradient approach in thermomechanics.