| Popis: |
The solution of the spatial problem of the theory of elasticity for a composite medium in the form of a layer with a longitudinal circular cylindrical inclusion and a half-space associated with the layer by normal displacement and normal stress at zero tangential stresses is proposed. Layer, inclusion and half-space are homogeneous isotropic materials, distinct from each other. Using the generalized Fourier method, which allowed satisfying the boundary and conjugation conditions to obtain infinite systems of linear algebraic equations. The latter are solved by the reduction method. As a result, displacements and stresses were obtained. A numerical analysis of the stress state was carried out for a plastic layer reinforced with a steel rod and smooth contact conditions associated with the half-space of rubber. |
