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https://hdl.handle.net/2142/87768
Description
Title
Cord-Reinforced Cylindrical Shells
Author(s)
Paris, Anthony James
Issue Date
1997
Doctoral Committee Chair(s)
Costello, George A.
Department of Study
Theoretical and Applied Mechanics
Discipline
Theoretical and Applied Mechanics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Engineering, Automotive
Language
eng
Abstract
In this work, an analytical approach is used to develop the equations for the displacements from the loads on a cord-reinforced cylindrical shell. The load-deformation relations are developed by considering the mechanics of the matrix, the cords, and the shell. The matrix is modeled using the generalized Hooke's law for an isotropic linear-elastic material. The theory that is used to model the cords was developed by Costello and includes the extension-twist coupling of the cords. For the shell, a set of differential equations for the displacements is derived based upon the analysis of the bending of circular cylindrical shells by Flugge, an equilibrium approach. These equations are solved analytically in closed form for axisymmetric loading. The resulting load--deformation relations are strongly dependent upon the properties of the constituents, including the extension-twist coupling of the cords, and the geometry, boundary conditions, and loading of the cord-reinforced cylindrical shell.
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