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

2001/11/29 by L. N. Maurin, Maurin, L. N., I. S. Tikhomirova +1
Engineering · Materials Science · Physics and Astronomy · #Elasticity and Wave Propagation #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Material Properties and Failure Mechanisms #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.cond-mat/0111558

4 pages, 3 figures, 1 reference

arxiv created 2001/11/29 · openalex publication_date 2001/11/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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