Standard

Dynamic fracture effects observed in a one-dimensional discrete mechanical system. / Kazarinov, Nikita; Smirnov, Alexander; Petrov, Yuri; Gruzdkov, Alexey.

в: E3S Web of Conferences, Том 157, 01020, 20.03.2020.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

Harvard

Kazarinov, N, Smirnov, A, Petrov, Y & Gruzdkov, A 2020, 'Dynamic fracture effects observed in a one-dimensional discrete mechanical system', E3S Web of Conferences, Том. 157, 01020. https://doi.org/10.1051/e3sconf/202015701020

APA

Kazarinov, N., Smirnov, A., Petrov, Y., & Gruzdkov, A. (2020). Dynamic fracture effects observed in a one-dimensional discrete mechanical system. E3S Web of Conferences, 157, [01020]. https://doi.org/10.1051/e3sconf/202015701020

Vancouver

Kazarinov N, Smirnov A, Petrov Y, Gruzdkov A. Dynamic fracture effects observed in a one-dimensional discrete mechanical system. E3S Web of Conferences. 2020 Март 20;157. 01020. https://doi.org/10.1051/e3sconf/202015701020

Author

Kazarinov, Nikita ; Smirnov, Alexander ; Petrov, Yuri ; Gruzdkov, Alexey. / Dynamic fracture effects observed in a one-dimensional discrete mechanical system. в: E3S Web of Conferences. 2020 ; Том 157.

BibTeX

@article{ab6deba650104fa69225b0e2264d91e8,
title = "Dynamic fracture effects observed in a one-dimensional discrete mechanical system",
abstract = "Dynamic fracture of a one-dimensional chain of identical linear oscillators (masses connected by springs) is considered in the work. The system is supposed to consist of arbitrary but finite number of links and the first mass is supposed to be fixed. Two loading conditions are discussed: free oscillations of an initially statically prestressed chain and loading the chain with a short deformation pulse. Both problems are solved analytically for an arbitrary number of links. The obtained solutions are investigated and a dynamic fracture effect related to an explicitly discrete structure of the system is revealed: a deformation wave travelling through the chain is distorted and some links may be subjected to critical deformation. The obtained solutions for the chain are compared to the solutions of analogous problems stated for an elastic rod - a continuum counterpart of the considered discrete system. It is shown that the discussed fracture effect cannot be found in a continuous system.",
author = "Nikita Kazarinov and Alexander Smirnov and Yuri Petrov and Alexey Gruzdkov",
note = "Publisher Copyright: {\textcopyright} The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 2019 Key Trends in Transportation Innovation, KTTI 2019 ; Conference date: 24-10-2019 Through 26-10-2019",
year = "2020",
month = mar,
day = "20",
doi = "10.1051/e3sconf/202015701020",
language = "English",
volume = "157",
journal = "E3S Web of Conferences",
issn = "2555-0403",
publisher = "EDP Sciences",

}

RIS

TY - JOUR

T1 - Dynamic fracture effects observed in a one-dimensional discrete mechanical system

AU - Kazarinov, Nikita

AU - Smirnov, Alexander

AU - Petrov, Yuri

AU - Gruzdkov, Alexey

N1 - Publisher Copyright: © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0/). Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/3/20

Y1 - 2020/3/20

N2 - Dynamic fracture of a one-dimensional chain of identical linear oscillators (masses connected by springs) is considered in the work. The system is supposed to consist of arbitrary but finite number of links and the first mass is supposed to be fixed. Two loading conditions are discussed: free oscillations of an initially statically prestressed chain and loading the chain with a short deformation pulse. Both problems are solved analytically for an arbitrary number of links. The obtained solutions are investigated and a dynamic fracture effect related to an explicitly discrete structure of the system is revealed: a deformation wave travelling through the chain is distorted and some links may be subjected to critical deformation. The obtained solutions for the chain are compared to the solutions of analogous problems stated for an elastic rod - a continuum counterpart of the considered discrete system. It is shown that the discussed fracture effect cannot be found in a continuous system.

AB - Dynamic fracture of a one-dimensional chain of identical linear oscillators (masses connected by springs) is considered in the work. The system is supposed to consist of arbitrary but finite number of links and the first mass is supposed to be fixed. Two loading conditions are discussed: free oscillations of an initially statically prestressed chain and loading the chain with a short deformation pulse. Both problems are solved analytically for an arbitrary number of links. The obtained solutions are investigated and a dynamic fracture effect related to an explicitly discrete structure of the system is revealed: a deformation wave travelling through the chain is distorted and some links may be subjected to critical deformation. The obtained solutions for the chain are compared to the solutions of analogous problems stated for an elastic rod - a continuum counterpart of the considered discrete system. It is shown that the discussed fracture effect cannot be found in a continuous system.

UR - http://www.scopus.com/inward/record.url?scp=85084111141&partnerID=8YFLogxK

U2 - 10.1051/e3sconf/202015701020

DO - 10.1051/e3sconf/202015701020

M3 - Conference article

AN - SCOPUS:85084111141

VL - 157

JO - E3S Web of Conferences

JF - E3S Web of Conferences

SN - 2555-0403

M1 - 01020

T2 - 2019 Key Trends in Transportation Innovation, KTTI 2019

Y2 - 24 October 2019 through 26 October 2019

ER -

ID: 76244526