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

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Modeling the Propagation of a Plane Elastic-Plastic Wave Taking into Account Unloading Associated with Plastic Deformations. / Ivanov, V. S.; Kats, V. M.; Morozov, V. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 58, No. 4, 01.12.2025, p. 546-553.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{37255ff202324cf68dd6ce37fcf9f95e,

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

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.",

keywords = "plane elastic-plastic wave, plastic unloading wave, electron-beam shock loading, nonequilibrium processes",

author = "Ivanov, {V. S.} and Kats, {V. M.} and Morozov, {V. A.}",

year = "2025",

month = dec,

day = "1",

doi = "10.1134/S1063454125700566",

language = "English",

volume = "58",

pages = "546--553",

journal = "Vestnik St. Petersburg University: Mathematics",

issn = "1063-4541",

publisher = "Pleiades Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Modeling the Propagation of a Plane Elastic-Plastic Wave Taking into Account Unloading Associated with Plastic Deformations

AU - Ivanov, V. S.

AU - Kats, V. M.

AU - Morozov, V. A.

PY - 2025/12/1

Y1 - 2025/12/1

N2 - 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.

AB - 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.

KW - plane elastic-plastic wave

KW - plastic unloading wave

KW - electron-beam shock loading

KW - nonequilibrium processes

U2 - 10.1134/S1063454125700566

DO - 10.1134/S1063454125700566

M3 - Article

VL - 58

SP - 546

EP - 553

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 144943126