Method of successive approximations for solving boundary-value problems of plasticity with allowance for the stress mode |
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Authors: | M E Babeshko Yu N Shevchenko |
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Institution: | 1.S. P. Timoshenko Institute of Mechanics,National Academy of Sciences of Ukraine,Kyiv,Ukraine |
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Abstract: | A method for solving boundary-value problems of plasticity with allowance for the stress mode is developed. To describe the
elastoplastic deformation of an isotropic material, use is made of constitutive equations that include two nonlinear functions
dependent on the stress mode and determined experimentally. The elastoplastic state of a thin cylindrical shell under axisymmetric
loading is calculated as a numerical example. The numerical results demonstrate good convergence of the method. The effect
of the stress mode on the strain distribution in a cylindrical shell is assessed |
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