Non-stationary problems of elastic waveguides with inclusions

Research output

Abstract

In modern constructions, thin-layer coats are often used as protecting or strengthening elements. Deformations of such constructions may cause significant stresses on the interface between the base and the coat because of the difference in their physical-mechanical properties, which leads to the destruction or delamination of the cover. Of special interest is strength analysis under dynamical or vibrational impacts because of the possibility of localizing oscillations in a neighborhood of the initial inhomogeneities (such as inclusions, defects, construction elements, etc.). In this paper, on the example of the delamination of a string from an elastic substrate, the possibility of localizing oscillations on a delamination defect is demonstrated and the effect of this localization on the growth of the delamination zone is analyzed. A simplified setting of the problem is considered. The possibility of localizing oscillations on a delamination defect is demonstrated and an approximate analytical solution is constructed, which takes into account only the first symmetric form of oscillations describing the development of the initial delamination. A numerical modeling of the problem is performed, and the results of modeling are compared with the approximate analytical solution.

Original languageEnglish
Publication statusPublished - 26 Oct 2011
Event3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011 - Corfu
Duration: 25 May 201128 May 2011

Conference

Conference3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011
CountryGreece
CityCorfu
Period25/05/1128/05/11

Fingerprint

Delamination
delamination
Waveguide
Waveguides
Inclusion
oscillation
Oscillation
defect
Defects
Analytical Solution
Thin Layer
Strengthening
Numerical Modeling
Physical property
Inhomogeneity
inhomogeneity
modeling
Mechanical Properties
mechanical property
Strings

Scopus subject areas

  • Computers in Earth Sciences
  • Geotechnical Engineering and Engineering Geology
  • Computational Mathematics

Cite this

Indeitsev, D. A., Abramyan, A. K., Mochalova, Y. A., & Semenov, B. N. (2011). Non-stationary problems of elastic waveguides with inclusions. Paper presented at 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011, Corfu, .
Indeitsev, Dmitry A. ; Abramyan, Andrey K. ; Mochalova, Yulia A. ; Semenov, Boris N. / Non-stationary problems of elastic waveguides with inclusions. Paper presented at 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011, Corfu, .
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abstract = "In modern constructions, thin-layer coats are often used as protecting or strengthening elements. Deformations of such constructions may cause significant stresses on the interface between the base and the coat because of the difference in their physical-mechanical properties, which leads to the destruction or delamination of the cover. Of special interest is strength analysis under dynamical or vibrational impacts because of the possibility of localizing oscillations in a neighborhood of the initial inhomogeneities (such as inclusions, defects, construction elements, etc.). In this paper, on the example of the delamination of a string from an elastic substrate, the possibility of localizing oscillations on a delamination defect is demonstrated and the effect of this localization on the growth of the delamination zone is analyzed. A simplified setting of the problem is considered. The possibility of localizing oscillations on a delamination defect is demonstrated and an approximate analytical solution is constructed, which takes into account only the first symmetric form of oscillations describing the development of the initial delamination. A numerical modeling of the problem is performed, and the results of modeling are compared with the approximate analytical solution.",
keywords = "Elastic waveguide, Film delamination, Localizing oscillations, Trapped modes",
author = "Indeitsev, {Dmitry A.} and Abramyan, {Andrey K.} and Mochalova, {Yulia A.} and Semenov, {Boris N.}",
year = "2011",
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Indeitsev, DA, Abramyan, AK, Mochalova, YA & Semenov, BN 2011, 'Non-stationary problems of elastic waveguides with inclusions' Paper presented at, Corfu, 25/05/11 - 28/05/11, .

Non-stationary problems of elastic waveguides with inclusions. / Indeitsev, Dmitry A.; Abramyan, Andrey K.; Mochalova, Yulia A.; Semenov, Boris N.

2011. Paper presented at 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011, Corfu, .

Research output

TY - CONF

T1 - Non-stationary problems of elastic waveguides with inclusions

AU - Indeitsev, Dmitry A.

AU - Abramyan, Andrey K.

AU - Mochalova, Yulia A.

AU - Semenov, Boris N.

PY - 2011/10/26

Y1 - 2011/10/26

N2 - In modern constructions, thin-layer coats are often used as protecting or strengthening elements. Deformations of such constructions may cause significant stresses on the interface between the base and the coat because of the difference in their physical-mechanical properties, which leads to the destruction or delamination of the cover. Of special interest is strength analysis under dynamical or vibrational impacts because of the possibility of localizing oscillations in a neighborhood of the initial inhomogeneities (such as inclusions, defects, construction elements, etc.). In this paper, on the example of the delamination of a string from an elastic substrate, the possibility of localizing oscillations on a delamination defect is demonstrated and the effect of this localization on the growth of the delamination zone is analyzed. A simplified setting of the problem is considered. The possibility of localizing oscillations on a delamination defect is demonstrated and an approximate analytical solution is constructed, which takes into account only the first symmetric form of oscillations describing the development of the initial delamination. A numerical modeling of the problem is performed, and the results of modeling are compared with the approximate analytical solution.

AB - In modern constructions, thin-layer coats are often used as protecting or strengthening elements. Deformations of such constructions may cause significant stresses on the interface between the base and the coat because of the difference in their physical-mechanical properties, which leads to the destruction or delamination of the cover. Of special interest is strength analysis under dynamical or vibrational impacts because of the possibility of localizing oscillations in a neighborhood of the initial inhomogeneities (such as inclusions, defects, construction elements, etc.). In this paper, on the example of the delamination of a string from an elastic substrate, the possibility of localizing oscillations on a delamination defect is demonstrated and the effect of this localization on the growth of the delamination zone is analyzed. A simplified setting of the problem is considered. The possibility of localizing oscillations on a delamination defect is demonstrated and an approximate analytical solution is constructed, which takes into account only the first symmetric form of oscillations describing the development of the initial delamination. A numerical modeling of the problem is performed, and the results of modeling are compared with the approximate analytical solution.

KW - Elastic waveguide

KW - Film delamination

KW - Localizing oscillations

KW - Trapped modes

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Indeitsev DA, Abramyan AK, Mochalova YA, Semenov BN. Non-stationary problems of elastic waveguides with inclusions. 2011. Paper presented at 3rd International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2011, Corfu, .