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Title of Article

SOLUTION OF THE AXISYMMETRIC PROBLEM OF STABILITY OF ELASTOPLASTIC SHELLS OF REVOLUTION UNDER COMBINED LOADING BY FINITE ELEMENT METHOD


Issue
1
Date
2013

Article type
scientific article
UDC
539.3
Pages
19-24
Keywords
elastoplasticity, large deformation, axisymmetric shells, torsion, numerical modeling, variational difference method


Authors
Bazhenov Valentin Georgievich
NIIM Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo

Pavlenkova Elena Vladimirovna
NIIM Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo

Artemeva Anastasiya Anatolevna
NIIM Nizhegorodskogo gosuniversiteta im. N.I. Lobachevskogo

Ivanov Viktor Anatolevich
Chuvashskiy gosudarstvennyy universitet im. I.N. Ulyanova, Cheboksary

Zhestkov Maksim Nikolaevich
Chuvashskiy gosudarstvennyy universitet im. I.N. Ulyanova, Cheboksary


Abstract
We present a technique for solving numerically the nonlinear nonstationary problems of axisymmetric elastoplastic deformation of shells of revolution taking into consideration torsion under the prescribed kinematics and loads. This method is based on the geometrically nonlinear timoshenko theory of shells and the plasticity theory with isotropic hardening. A variational difference method in combination with a scheme for explicit time integration of the equations of motion is used for solving the problem of interest. The efficiency of the proposed method is verified by studying the limit states of the elastoplastic deformation of a cylindrical metal shell under internal pressure and subsequent torsion.

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