On elastic-plastic deformation of a rectangular plate on a cylindrical surface under normal loading

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Abstract

In the approximation of the cylindrical bending model, a solution is obtained for the problem of elastic-plastic deformation of a thin plate bent along a cylindrical surface, taking into account the resulting longitudinal forces, under boundary conditions of the rigid or generalized elastic fixation type. When describing the plate, standard Kirchhoff–Love kinematic hypotheses were used, which made it possible to reduce the problem to a system of ordinary differential equations. A numerical solution is obtained for this system for rigid and generalized elastic fixation conditions.

About the authors

K. B. Ustinov

Ishlinsky Institute for Problems in Mechanics RAS

Email: ustinov@ipmnet.ru
Moscow, Russia

D. V. Gandilyan

Ishlinsky Institute for Problems in Mechanics RAS

Email: david.ghandilyan@mail.ru
Moscow, Russia

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