SOLUTION OF THE AXISYMMETRIC PROBLEM OF STABILITY OF ELASTOPLASTIC SHELLS OF REVOLUTION UNDER COMBINED LOADING BY FINITE ELEMENT METHOD |
1 | |
2013 |
scientific article | 539.3 | ||
19-24 | elastoplasticity, large deformation, axisymmetric shells, torsion, numerical modeling, variational difference method |
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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