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An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. Part 1. Uniaxial deformation (stress)

L. N. Maurin, I. S. Tikhomirova

cond-mat.mtrl-sciarXiv:cond-mat/0111304

Abstract

The uniaxial elastic-plastic deformation process is considered. Mathematical model of this process was built. According to this model all stable static states form the lattice, which is called the delta-lattice.

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