Boiko Z. Stress-strained state of solids with near-surface inhomogeneity and gradientallity taken into account

The thesis is devoted to the formulation of boundary value broblems within the local gradient approach in thermomechanics for a description of the stress-strained state of solids taking into account geometrical inhomogeneity of surface and to an investigation on this basis of effects related with near-surface inhomogeneity, in particular, size effects. When formulating boundary conditions as a basis we use the view of the surface of real solids, namely the roughness. Analytical solutions of the boundary-value problems for bodies of simple geometry (layer, continuous and hollow cylinders) are constructed. Using experimental data known in literature for surface tension we have estimated model coefficients of locally nonhomogeneous body. The obtained results are compared to the corresponding solutions of boundary value problems for the layer and continuous cylinder for the case when the chemical potential constant value is set at the external surfaces. It is indicated essential qualitative and quantitative distinctions of disturbance of concerned fields and dependence their values on body thickness.