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Mathematical model of elastic closed flexible shells with nonlocal shape deviations. (English) Zbl 1422.53006

Authors’ abstract: A model of deformation and mechanical stability of a thin-walled shell with geometric deviations, which is close to a circular cylindrical shell, under the action of axial compression and normal pressure is developed. The model uses the scheme of a flexible shell of zero Gaussian curvature with a perturbed edge, which makes it possible to apply the methods of the geometrically nonlinear theory of torso shells.

MSC:

53A05 Surfaces in Euclidean and related spaces
35Q74 PDEs in connection with mechanics of deformable solids
74K25 Shells
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