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Transport and Deformation Wave Processes in Solid. / Indeitsev, Dmitry; Vakulenko, Sergei; Mochalova, Yulia; Abramian, Andrei.

Advanced Structured Materials. Springer Nature, 2019. p. 83-94 (Advanced Structured Materials; Vol. 114).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Harvard

Indeitsev, D, Vakulenko, S, Mochalova, Y & Abramian, A 2019, Transport and Deformation Wave Processes in Solid. in Advanced Structured Materials. Advanced Structured Materials, vol. 114, Springer Nature, pp. 83-94. https://doi.org/10.1007/978-3-030-21251-3_6

APA

Indeitsev, D., Vakulenko, S., Mochalova, Y., & Abramian, A. (2019). Transport and Deformation Wave Processes in Solid. In Advanced Structured Materials (pp. 83-94). (Advanced Structured Materials; Vol. 114). Springer Nature. https://doi.org/10.1007/978-3-030-21251-3_6

Vancouver

Indeitsev D, Vakulenko S, Mochalova Y, Abramian A. Transport and Deformation Wave Processes in Solid. In Advanced Structured Materials. Springer Nature. 2019. p. 83-94. (Advanced Structured Materials). https://doi.org/10.1007/978-3-030-21251-3_6

Author

Indeitsev, Dmitry ; Vakulenko, Sergei ; Mochalova, Yulia ; Abramian, Andrei. / Transport and Deformation Wave Processes in Solid. Advanced Structured Materials. Springer Nature, 2019. pp. 83-94 (Advanced Structured Materials).

BibTeX

@inbook{6e40ec68dff34999bf632857c2c2003d,
title = "Transport and Deformation Wave Processes in Solid",
abstract = "In this paper, we consider effects of impurity diffusion and convection in strained elastic materials with the help of a two-component continual model, that takes into account change in the rigid properties of the material. Two new kinds of solutions, which describe propagation of localized waves, have been found. The first type of solutions describe waves which look like sharply localized peaks (solitary waves). When these type of waves propagate, they change their forms and, as a result, a formation of new peaks is possible. The velocity of the localized waves changes in time and is always less than the sound velocity in the material without impurities. The second kind of solution can be interpreted as shock waves (kinks). The formation mechanism of those waves and their structure are similar to waves of the famous Burgers model; however, their analytical forms are more complicated. They describe jumps in impurity density and deformation.",
keywords = "Asymptotic solution, Coupled stress-diffusion problem, Localized waves, Two-component model",
author = "Dmitry Indeitsev and Sergei Vakulenko and Yulia Mochalova and Andrei Abramian",
note = "Funding Information: Acknowledgements D. Indeitsev and Yu. Mochalova were supported by Programme of Fundamental Research of Presidium of RAS 31 “Fundamental studies of physical and technical problems of energetics”. S. Vakulenko was supported by Government of Russian Federation, Grant 08-08. Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",
year = "2019",
doi = "10.1007/978-3-030-21251-3_6",
language = "English",
series = "Advanced Structured Materials",
publisher = "Springer Nature",
pages = "83--94",
booktitle = "Advanced Structured Materials",
address = "Germany",

}

RIS

TY - CHAP

T1 - Transport and Deformation Wave Processes in Solid

AU - Indeitsev, Dmitry

AU - Vakulenko, Sergei

AU - Mochalova, Yulia

AU - Abramian, Andrei

N1 - Funding Information: Acknowledgements D. Indeitsev and Yu. Mochalova were supported by Programme of Fundamental Research of Presidium of RAS 31 “Fundamental studies of physical and technical problems of energetics”. S. Vakulenko was supported by Government of Russian Federation, Grant 08-08. Publisher Copyright: © 2019, Springer Nature Switzerland AG. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019

Y1 - 2019

N2 - In this paper, we consider effects of impurity diffusion and convection in strained elastic materials with the help of a two-component continual model, that takes into account change in the rigid properties of the material. Two new kinds of solutions, which describe propagation of localized waves, have been found. The first type of solutions describe waves which look like sharply localized peaks (solitary waves). When these type of waves propagate, they change their forms and, as a result, a formation of new peaks is possible. The velocity of the localized waves changes in time and is always less than the sound velocity in the material without impurities. The second kind of solution can be interpreted as shock waves (kinks). The formation mechanism of those waves and their structure are similar to waves of the famous Burgers model; however, their analytical forms are more complicated. They describe jumps in impurity density and deformation.

AB - In this paper, we consider effects of impurity diffusion and convection in strained elastic materials with the help of a two-component continual model, that takes into account change in the rigid properties of the material. Two new kinds of solutions, which describe propagation of localized waves, have been found. The first type of solutions describe waves which look like sharply localized peaks (solitary waves). When these type of waves propagate, they change their forms and, as a result, a formation of new peaks is possible. The velocity of the localized waves changes in time and is always less than the sound velocity in the material without impurities. The second kind of solution can be interpreted as shock waves (kinks). The formation mechanism of those waves and their structure are similar to waves of the famous Burgers model; however, their analytical forms are more complicated. They describe jumps in impurity density and deformation.

KW - Asymptotic solution

KW - Coupled stress-diffusion problem

KW - Localized waves

KW - Two-component model

UR - http://www.scopus.com/inward/record.url?scp=85066740593&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-21251-3_6

DO - 10.1007/978-3-030-21251-3_6

M3 - Chapter

AN - SCOPUS:85066740593

T3 - Advanced Structured Materials

SP - 83

EP - 94

BT - Advanced Structured Materials

PB - Springer Nature

ER -

ID: 75068797