Group Analysis of the Ideal Plasticity Equations
S. I. Senashov1, O. V. Gomonova1, O. N. Cherepanova2
1Reshetnev Siberian State University of Science and Technology, Krasnoyarsk, 660037, Russia
2Siberian Federal University, Krasnoyarsk, 660041, Russia
Keywords: ideal plasticity, exact solutions, conservation laws, elastoplastic problem
Abstract
The problem of constructing exact solutions of the von Mises three-dimensional plasticity equations based on the group of continuous transformations admitted by the equations (Annin's problem). New classes of solutions of the three-dimensional plasticity equations are given. The problem of compression of an elastoplastic material layer by rigid plates is solved. In this case, the material obeys the exponential plasticity condition, proposed by Annin.
DOI: 10.1134/S0021894421050205
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