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)

2001/11/16 by L. N. Maurin, Maurin, L. N., I. S. Tikhomirova +1
Engineering · Materials Science · Physics and Astronomy · #Geotechnical and Geomechanical Engineering #Material Properties and Failure Mechanisms #Mining and Gasification Technologies #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0111304

6 pages, 6 figures, 2 references

arxiv created 2001/11/16 · arxiv updated 2009/11/30

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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