Abstract
This paper presents a parametric analysis of the creep buckling of a shallow spherical shell subjected to uniform external pressure using the finite-element incremental method. Axisymmetric creep deformation analysis is first performed to obtain pre-buckling behavior by the time incremental method. The buckling modes considered are both bifurcation and axisymmetric snap-through types. Fourier expansion technique is conveniently employed to construct the stiffness matrices corresponding to asymmetric bifurcation as well as axisymmetric snap-through modes of deformation. The critical time for creep buckling is defined by the time at which either stiffness matrices corresponding to the axisymmetric or asymmetric modes lose their positive definiteness. The critical times and the buckling modes are obtained over a fairly wide range of the geometric parameters pertaining to shallow spherical shell subjected to uniform external pressure.
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