Analysis of a three-dimensional problem of the theory of elasticity for an inhomogeneous truncated hollow cone (Q1324821)

The three-dimensional stress-strain state of an inhomogeneous thin truncated hollow cone is studied by the method of direct asymptotic integration of the equations of the theory of elasticity. Assuming that the load is sufficiently smooth, inhomogeneous solutions are constructed, which enable the load to be removed from the lateral surface of the cone. Homogeneous solutions are then constructed. Asymptotic expansions of homogeneous solutions are obtained, which enable the stress-strain state to be computed under various boundary conditions on the ends of the cone.