Abstract
In this work a finite element model for the nonlinear static behavior of extremely thin, arbitrary shaped, cable-reinforced membrane shells has been developed. Large strain, large displacement theory has been used to derive the governing equations. For membranes, a curvilinear quadrilateral element is used and for cables a general one-dimensional curvilinear element is used. Solution to the nonlinear algebriac equations is obtained by a combined incremental and Newton-Raphson iterative technique. Three example problems have been considered to demonstrate the effect of the presence and spacing of reinforcement for various shell geometries.
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