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Boundary control of nonlinear strain waves in di-atomic crystal layer. / Porubov, A. V.; Antonov, I. D.; Fradkov, A. L.

In: Wave Motion, Vol. 91, 102400, 11.2019.

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

Harvard

Porubov, AV, Antonov, ID & Fradkov, AL 2019, 'Boundary control of nonlinear strain waves in di-atomic crystal layer', Wave Motion, vol. 91, 102400. https://doi.org/10.1016/j.wavemoti.2019.102400

APA

Porubov, A. V., Antonov, I. D., & Fradkov, A. L. (2019). Boundary control of nonlinear strain waves in di-atomic crystal layer. Wave Motion, 91, [102400]. https://doi.org/10.1016/j.wavemoti.2019.102400

Vancouver

Porubov AV, Antonov ID, Fradkov AL. Boundary control of nonlinear strain waves in di-atomic crystal layer. Wave Motion. 2019 Nov;91. 102400. https://doi.org/10.1016/j.wavemoti.2019.102400

Author

Porubov, A. V. ; Antonov, I. D. ; Fradkov, A. L. / Boundary control of nonlinear strain waves in di-atomic crystal layer. In: Wave Motion. 2019 ; Vol. 91.

BibTeX

@article{0f33e5497fa743929e8cabe71644acfa,
title = "Boundary control of nonlinear strain waves in di-atomic crystal layer",
abstract = "The influence of an external loading on nonlinear dynamic processes in a layer having a di-atomic crystalline structure is studied. An asymptotic procedure is developed to transform the solution of the initial two-dimensional problem to the solution to the coupled one-dimensional nonlinear equations for longitudinal macrostrains and variations in the microstructure. It is shown that an external loading on the lateral surface of the layer can play the role of a feedback control supporting the stable propagation of localized strain waves. The weakly nonlinear case is considered to obtain a new single governing equation for longitudinal strains.",
keywords = "Asymptotic solution, Di-atomic crystal, Nonlinear wave",
author = "Porubov, {A. V.} and Antonov, {I. D.} and Fradkov, {A. L.}",
note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
month = nov,
doi = "10.1016/j.wavemoti.2019.102400",
language = "English",
volume = "91",
journal = "Wave Motion",
issn = "0165-2125",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Boundary control of nonlinear strain waves in di-atomic crystal layer

AU - Porubov, A. V.

AU - Antonov, I. D.

AU - Fradkov, A. L.

N1 - Publisher Copyright: © 2019 Elsevier B.V. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/11

Y1 - 2019/11

N2 - The influence of an external loading on nonlinear dynamic processes in a layer having a di-atomic crystalline structure is studied. An asymptotic procedure is developed to transform the solution of the initial two-dimensional problem to the solution to the coupled one-dimensional nonlinear equations for longitudinal macrostrains and variations in the microstructure. It is shown that an external loading on the lateral surface of the layer can play the role of a feedback control supporting the stable propagation of localized strain waves. The weakly nonlinear case is considered to obtain a new single governing equation for longitudinal strains.

AB - The influence of an external loading on nonlinear dynamic processes in a layer having a di-atomic crystalline structure is studied. An asymptotic procedure is developed to transform the solution of the initial two-dimensional problem to the solution to the coupled one-dimensional nonlinear equations for longitudinal macrostrains and variations in the microstructure. It is shown that an external loading on the lateral surface of the layer can play the role of a feedback control supporting the stable propagation of localized strain waves. The weakly nonlinear case is considered to obtain a new single governing equation for longitudinal strains.

KW - Asymptotic solution

KW - Di-atomic crystal

KW - Nonlinear wave

UR - http://www.scopus.com/inward/record.url?scp=85071092140&partnerID=8YFLogxK

U2 - 10.1016/j.wavemoti.2019.102400

DO - 10.1016/j.wavemoti.2019.102400

M3 - Article

AN - SCOPUS:85071092140

VL - 91

JO - Wave Motion

JF - Wave Motion

SN - 0165-2125

M1 - 102400

ER -

ID: 76026032