Large deflection analysis of elastic-plastic shells using numerical integration

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Nonlinear problems are treated which involve geometrical nonlinearities occurring because of geometry changes and material nonlinearities resulting from plastic strains. Accurate numerical analysis is achieved by use of a computer program based on nonlinear shell theory and a multisegment method of numerical integration. Shell stiffnesses are evaluated numerically for the von Mises yield criterion and in closed form for the Tresca criterion. Collapse behavior of pressure vessel heads as predicted by linear and nonlinear analyses are compared. The pressure deflection response of a convoluted stainless steel bellows is calculated, and is seen to compare favorably with experimental results. © 1971, American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

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AIAA Journal