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Article citations


A. M. Zenkour, “Stresses in Cross-ply Laminated Circular Cylinders of Axially Variable Thickness,” Acta Mechanica, Vol. 187, No. 1-4, 2006, pp. 85-102.

has been cited by the following article:

  • TITLE: Rotating Variable-Thickness Inhomogeneous Cylinders: Part I—Analytical Elastic Solutions

    AUTHORS: Ashraf M. Zenkour

    KEYWORDS: Rotating, Inhomogeneous Cylinders, Orthotropic, Variable Thickness and Density

    JOURNAL NAME: Applied Mathematics, Vol.1 No.6, December 27, 2010

    ABSTRACT: In this paper, an analytical solution for the rotation problem of an inhomogeneous hollow cylinder with variable thickness under plane strain assumption is developed. The present cylinder is made of a fiber-reinforced viscoelastic inhomogeneous orthotropic material. The thickness of the cylinder is taken as parabolic function in the radial direction. The elastic properties varies in the same manner as the thickness of the cylinder while the density varies according to an exponential law form. The inner and outer surfaces of the cylinder are considered to have combinations of free and clamped boundary conditions. Analytical solutions are given according to different types of the hollow cylinders. An extension of the present solutions to the viscoelastic ones and some applications are investigated in Part II.