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Journal of Applied Mathematics and Mechanics, vol.57, no.5, pp.871-877, 1993 (Scopus)
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 [1]. 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. The nature of the stress-strain state is clarified by a qualitative analysis. It is shown that, as in the homogeneous case [2], the stress-strain state consists of three types: the internal stress state, the simple boundary effect, and the boundary layer. © 1994.