Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings

A. Berezovski; J. Engelbrecht; Mihhail Berezovski

doi:10.1016/j.ijmecsci.2015.07.027

Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings

A. Berezovski, J. Engelbrecht, Mihhail Berezovski

Mathematics

Tallinn University of Technology

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

Abstract

Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings. Such a localization is absent in the case of rigid gratings.

Original language	American English
Journal	International Journal of Mechanical Sciences
Volume	101-102
DOIs	https://doi.org/10.1016/j.ijmecsci.2015.07.027
State	Published - Oct 1 2015

Keywords

Elastic wave
Diffraction grating
Pattern formation
Energy localization

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations
Materials Science and Engineering
Applied Mathematics

Access to Document

10.1016/j.ijmecsci.2015.07.027License: CC BY

Pattern Formation of Elastic Waves and Energy Localization Due toFinal published version, 30.5 MBLicense: CC BY

Cite this

@article{81c0b5aaeedb48688718d172b51c92ce,

title = "Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings",

abstract = " Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings. Such a localization is absent in the case of rigid gratings.",

keywords = "Elastic wave, Diffraction grating, Pattern formation, Energy localization",

author = "A. Berezovski and J. Engelbrecht and Mihhail Berezovski",

note = "Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings.",

year = "2015",

month = oct,

day = "1",

doi = "10.1016/j.ijmecsci.2015.07.027",

language = "American English",

volume = "101-102",

journal = "International Journal of Mechanical Sciences",

}

TY - JOUR

T1 - Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings

AU - Berezovski, A.

AU - Engelbrecht, J.

AU - Berezovski, Mihhail

N1 - Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings.

PY - 2015/10/1

Y1 - 2015/10/1

N2 - Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings. Such a localization is absent in the case of rigid gratings.

AB - Elastic wave propagation through diffraction gratings is studied numerically in the plane strain setting. The interaction of the waves with periodically ordered elastic inclusions leads to a self-imaging Talbot effect for the wavelength equal or close to the grating size. The energy localization is observed at the vicinity of inclusions in the case of elastic gratings. Such a localization is absent in the case of rigid gratings.

KW - Elastic wave

KW - Diffraction grating

KW - Pattern formation

KW - Energy localization

UR - https://commons.erau.edu/publication/934

UR - http://www.sciencedirect.com/science/article/pii/S0020740315002763?via%3Dihub

U2 - 10.1016/j.ijmecsci.2015.07.027

DO - 10.1016/j.ijmecsci.2015.07.027

M3 - Article

VL - 101-102

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

ER -

Pattern Formation of Elastic Waves and Energy Localization Due to Elastic Gratings

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this