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.


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