Akademik Məlumat İdarəetmə Sistemi
Economic and Social Development (Book of Proceedings), 70th International Scientific Conference on Economic and Social, vol.7, pp.33-39, 2021 (Conference Book)
The axisymmetric problem of the theory of elasticity for the radially inhomogeneous transversely isotropic cylinder of small thickness is studied by the method of asymptotic integrating the equations of the theory of elasticity is used to study. It is assumed that the elastic moduli are arbitrary positive continuous functions of the cylinder radius. The lateral part of the cylinder is taken fixed, and the stresses are set at the ends of the cylinder, leaving the cylinder in equilibrium. Homogeneous solutions are constructed. The asymptotic behavior of the solution is studied as the thickness parameter tends to zero. The nature of the stress-strain state is explained. It was found that the stress-strain state is composed only of a solution having the character of a boundary layer, equivalent to the Saint-Venant edge effect of the theory of inhomogeneous transversely isotropic plates.