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An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. Part 2. 3D model

L. N. Maurin·I. S. Tikhomirova
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Abstract

The three-dimensional elastic-plastic deformation is considered. The catastrophe theory underlies the construction of this process model. It was shown that the variety of stable states consists on elastic states and can be depicted as a lattice on plane in coordinates shearing stress intensity and shearing strain intensity.

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L. N. Maurin, I. S. Tikhomirova. 2001-11-29. An application of the catastrophe theory to building the model of elastic-plastic behaviour of materials. Part 2. 3D model. https://arxiv.org/abs/cond-mat/0111558

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