Abstract
On the basis of two improved models of shells that are nonuniform by thickness (based on assumptions of Timoshenko type stated separately for each layer and assuming a uniform stress-deformed state of a thin-walled element of the layered structure) we study the stressed state and stability of three-layer cylindrical shells with a nonsymmetric packet. We show the equivalence of the two models in describing the reaction of layered shells to uniform external actions. We give an analysis of the dependence of the stress-deformed state and the reserve stability of shells on the structure of the packet.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 27, 1988, pp. 89–93.
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Babich, D.V., Koshevoi, I.K. & Shpakova, S.G. The effect of the nonuniformity properties of a material in problems of elastic equilibrium and stability of shells. J Math Sci 62, 2587–2590 (1992). https://doi.org/10.1007/BF01099156
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DOI: https://doi.org/10.1007/BF01099156