Initial stage of motion in the Lavrent’ev–Ishlinskii problem on longitudinal shock on a rod

N.F. Morozov, A.K. Belyaev, P.E. Tovstik, T.P. Tovstik

Research output

1 Citation (Scopus)

Abstract

© 2015, Pleiades Publishing, Ltd.The transverse motion of a thin rod under a sudden application of a prolonged longitudinal load at the initial stage of motion is considered. The introduction of self-similar variables makes it possible to propose a description of the transverse motion weakly dependent on the longitudinal deformation. Both single dents and periodic systems of dents are considered.
Original languageEnglish
Pages (from-to)519-523
JournalDoklady Physics
Issue number11
DOIs
Publication statusPublished - 2015

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Time varying systems
rods
shock

Cite this

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title = "Initial stage of motion in the Lavrent’ev–Ishlinskii problem on longitudinal shock on a rod",
abstract = "{\circledC} 2015, Pleiades Publishing, Ltd.The transverse motion of a thin rod under a sudden application of a prolonged longitudinal load at the initial stage of motion is considered. The introduction of self-similar variables makes it possible to propose a description of the transverse motion weakly dependent on the longitudinal deformation. Both single dents and periodic systems of dents are considered.",
author = "N.F. Morozov and A.K. Belyaev and P.E. Tovstik and T.P. Tovstik",
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T1 - Initial stage of motion in the Lavrent’ev–Ishlinskii problem on longitudinal shock on a rod

AU - Morozov, N.F.

AU - Belyaev, A.K.

AU - Tovstik, P.E.

AU - Tovstik, T.P.

PY - 2015

Y1 - 2015

N2 - © 2015, Pleiades Publishing, Ltd.The transverse motion of a thin rod under a sudden application of a prolonged longitudinal load at the initial stage of motion is considered. The introduction of self-similar variables makes it possible to propose a description of the transverse motion weakly dependent on the longitudinal deformation. Both single dents and periodic systems of dents are considered.

AB - © 2015, Pleiades Publishing, Ltd.The transverse motion of a thin rod under a sudden application of a prolonged longitudinal load at the initial stage of motion is considered. The introduction of self-similar variables makes it possible to propose a description of the transverse motion weakly dependent on the longitudinal deformation. Both single dents and periodic systems of dents are considered.

U2 - 10.1134/S1028335815110129

DO - 10.1134/S1028335815110129

M3 - Article

SP - 519

EP - 523

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 11

ER -