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The elastic-plastic analysis of a thick spherical shell under thermal loading—A comparison of three numerical procedures
Authors:TK Hellen  NG Galluzzo  AP Kfouri
Affiliation:CEGB Berkeley Nuclear Laboratories, Berkeley, Gloucester GL13 9PB, England;Atomics International, Canoga Park, California, U.S.A.;University Engineering Department, University of Cambridge, Trumpington Street, Cambridge CB2 1PZ, England
Abstract:The elastic-plastic response of a thick spherical shell subjected to thermal loading is predicted by three independent numerical analyses. Heat radiation from the inner face of a sufficiently large hollow cylinder is applied to an initially unloaded hollow sphere having a thickness equal to the inner radius of the sphere. Solutions obtained by a finite difference program and two independent finite element programs compare well with an exact elastic solution before yielding occurs. The post yield analyses of the three programs follow a consistent pattern.
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