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Deformation of Orthotropic Toroidal Shells of Superelliptic Cross-Section*

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Statical problems for thin orthotropic toroidal shells with superelliptical or supercircular cross-sections are considered using a procedure based on the variational-difference method, the method of Lagrangian multipliers, and mixed functionals. Because of membrane locking, this problem can joint the ranks of the so-called pathological tests.

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Correspondence to I. V. Luts’ka.

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*This study was sponsored by the budgetary program Support of Priority Areas of Research (KPKVK 6541230).

Translated from Prikladnaya Mekhanika, Vol. 57, No. 6, pp. 45–48, November-December 2021.

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Luts’ka, I.V., Maksimyuk, V.A. Deformation of Orthotropic Toroidal Shells of Superelliptic Cross-Section*. Int Appl Mech 57, 655–658 (2021). https://doi.org/10.1007/s10778-022-01115-8

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  • DOI: https://doi.org/10.1007/s10778-022-01115-8

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