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Two dimensional plastic waves in quasi rate independent viscoplastic materials. (English) Zbl 1289.74044
Two-dimensional plastic waves of the quasi rate independent viscoplastic materials are considered. The mathematical model of the problem is formulated using the nonlinear evolution equation for plastic stretching. Wave equations and momentum equations are stated with initial and boundary conditions. The main limitation in the presented analysis is the assumption that the plastic waves do not change their direction during propagation. It is valid only when plastic strains are small and comparable with elastic ones. Results of the numerical simulation for symmetric and non-symmetric loadings are presented. These results are comparable with those obtained experimentally. In this paper also the direction of the prospective investigation in the problem is mentioned.
MSC:
74C99 Plastic materials, materials of stress-rate and internal-variable type
74J30 Nonlinear waves in solid mechanics
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