Modeling the Propagation of a Plane Elastic-Plastic Wave Taking into Account Unloading Associated with Plastic Deformations

An unconventional model for the propagation of plane elastic-plastic waves taking into account unloading associated with plastic deformations is developed, and numerical calculations of the propagation of an elastic-plastic mechanical stress pulse are performed. The model is constructed based on analysis of the impact of a medium-power pulsed electron beam on an aluminum plate made of A995-grade material, which is close to a single crystal with a low yield strength, and the excitation of a shock-wave stress pulse within it, as well as consideration of such pulse formation in the nonequilibrium surface loading region. It is shown that rapid attenuation of the elastic-plastic wave amplitude occurs in this case, particularly during the propagation of short stress pulses. The adequacy of the proposed model for the process under study is confirmed by experimental data.

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Publication Details

Journal
Vestnik St Petersburg University Mathematics
Published
2025-12-01
DOI
https://doi.org/10.1134/s1063454125700566
Primary Topic
High-Velocity Impact and Material Behavior
Type
article
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article

Modeling the Propagation of a Plane Elastic-Plastic Wave Taking into Account Unloading Associated with Plastic Deformations

V. M. Kats, V. A. Morozov, V. S. Ivanov
Vestnik St Petersburg University Mathematics
High-Velocity Impact and Material Behavior
article

Modeling the Propagation of a Plane Elastic-Plastic Wave Taking into Account Unloading Associated with Plastic Deformations

V. M. Kats, V. A. Morozov, V. S. Ivanov
article en

Abstract

An unconventional model for the propagation of plane elastic-plastic waves taking into account unloading associated with plastic deformations is developed, and numerical calculations of the propagation of an elastic-plastic mechanical stress pulse are performed. The model is constructed based on analysis of the impact of a medium-power pulsed electron beam on an aluminum plate made of A995-grade material, which is close to a single crystal with a low yield strength, and the excitation of a shock-wave stress pulse within it, as well as consideration of such pulse formation in the nonequilibrium surface loading region. It is shown that rapid attenuation of the elastic-plastic wave amplitude occurs in this case, particularly during the propagation of short stress pulses. The adequacy of the proposed model for the process under study is confirmed by experimental data.

Vestnik St Petersburg University MathematicsVol. 58(4)
St Petersburg University (RU)
Openalex Percentile: Top 46%
High-Velocity Impact and Material Behavior
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