The nonlinear stress–strain state of an open elliptical semi-toroidal thin shell is analyzed using the variational-difference method and mixed functionals. This approach allows algorithmizing the geometric part of the Kirchhoff–Love hypotheses and avoiding membrane locking. The stress–strain state of the shell under uniformly distributed internal pressure is calculated in the following three cases of fixation of edges: immovable hinged, clamped, and movable hinged. It is shown that the hinged edges considerably decrease the circumferential stresses near them. Due to significant meridional moments, the clamped edges cause compression on the outer shell surfaces.
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Translated from Prykladna Mekhanika, Vol. 59, No. 4, pp. 36–42, July–August 2023
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Luts’ka, I.V., Maksimyuk, V.A. & Chernyshenko, I.S. Physically Nonlinear Deformation of an Orthotropic Semi-Elliptical Toroidal Shell. Int Appl Mech 59, 410–416 (2023). https://doi.org/10.1007/s10778-023-01231-z
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DOI: https://doi.org/10.1007/s10778-023-01231-z