Rh. Liu et Zq. Cheng, ON THE NONLINEAR BUCKLING OF CIRCULAR SHALLOW SPHERICAL SANDWICH SHELLS UNDER THE ACTION OF UNIFORM EDGE MOMENTS, International journal of non-linear mechanics, 30(1), 1995, pp. 33-43
In this paper, a non-linear axisymmetrical bending theory for a circul
ar, planform, shallow, spherical, sandwich shell with a soft core unde
r the action of uniform edge moments is constructed by means of calcul
us 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)].