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Method of initial functions for the analysis of laminated circular cylindrical shells under axisymmetric loading

Chandrashekhara, K and Rao, Nanjunda KS (1998) Method of initial functions for the analysis of laminated circular cylindrical shells under axisymmetric loading. In: Mechanics of Composite Materials and Structures, 5 (2). pp. 187-201.

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Abstract

The method of initial functions has been used for the static analysis of an infinite and simply supported, orthotropic, and laminated circular cylindrical shell of revolution subjected to axisymmetric load. In this method the three-dimensional state equations for an individual ply of a laminated shell are established without making any a priori assumptions regarding the distribution of stresses and displacements across the thickness of the shell. By using the continuity conditions of displacements and stresses on each interface between adjacent layers, the state equation for the laminate is obtained. Using the Cayley-Hamilton theorem, the transfer matrix that maps the initial state vector into the field is evaluated explicitly leading to an exact solution of the problem (MIF-exact). Alternatively, depending on the number of terms retained in the series expansion of the transfer matrix, different-order theories of MIF are derived. The results of different-order MIF theories, classical theories, and shear deformation shell theories are compared with the results of MIF-exact to assess their accuracy and limitations.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Taylor & Francis.
Department/Centre: Division of Mechanical Sciences > Civil Engineering
Date Deposited: 27 Dec 2006
Last Modified: 27 Aug 2008 12:30
URI: http://eprints.iisc.ernet.in/id/eprint/9200

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