Abstract
In this paper, a non-linear axisymmetrical bending theory for a circular, planform, shallow, spherical, sandwich shell with a soft core under the action of uniform edge moments is constructed by means of calculus of variations. An analytic solution for the critical buckling edge moment is obtained by use of Yeh Kai-yuan and Liu Ren-huai's modified iteration method [ Bull. Sci. 2, 142 (1965) (in Chinese); Bull. Sci. 2, 145 (1965) (in Chinese); Bull. Sci. 3, 253 (1965) (in Chinese)].
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