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On the non-linear buckling of circular shallow spherical sandwich shells under the action of uniform edge moments. (English) Zbl 0819.73025

A nonlinear axisymmetric 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 analytical solution for the critical buckling edge moment is obtained by use of a modified iteration method.

MSC:

74G60 Bifurcation and buckling
74K15 Membranes
74E30 Composite and mixture properties
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