Elastic buckling, which occurs in shell structures, is a major design issue because it can cause failures of structures. In particular, the variation in buckling load caused by a decrease in the thickness of the walls of structures is a key issue for safe design. The arc-length method, which is a finite element method, is generally applied to solve this type of problem. However, it has been reported that there are some cases in which the path of the buckling load cannot be solved using this method. We verified the problem by applying the arc-length method to elastic buckling that occurs in a shallow partial spherical shell. To solve the problem, we formulated a novel algorithm used in the explicit finite element method for estimating minimum strength of thin-walled structures. In this algorithm, initial deformation is given by pressing a rigid wall to the vertical direction of buckling mode. We anticipate that the proposed method will prove to be a practical way of calculating the minimum load for partial elastic buckling that occurs in a general shell structure under pressure.
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Translated from Problemy Prochnosti, No. 2, pp. 125 – 134, March – April, 2012.
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Ishinabea, M., Hayashib, K. An algorithm for estimating minimum strength of thin-walled structures to resist elastic buckling under pressure. Strength Mater 44, 205–211 (2012). https://doi.org/10.1007/s11223-012-9373-6
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DOI: https://doi.org/10.1007/s11223-012-9373-6