Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems

G. Osharovich; M. Ayzenberg-Stepanenko; O. Tsareva

doi:10.1007/s00161-010-0164-7

Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems

G. Osharovich, M. Ayzenberg-Stepanenko, O. Tsareva

Department of Mathematics

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

18 Scopus citations

Abstract

Steady-state and transient processes of elasticwave propagation in infinite 2D massless and materialbond lattices subjected to a local monochromatic excitation are studied. Anti-plane dynamics of rectangular and triangular lattices is considered. Mathematical models of lattices, dispersion properties of free waves, and results of transient problems solution are presented. Resonant excitations of lattices are explored. Asymptotic solutions are compared with the results of computer simulation. Special attention is given to the wave-beaming pattern in the case of the excitation frequency located within a pass-band.

Original language	English
Pages (from-to)	599-616
Number of pages	18
Journal	Continuum Mechanics and Thermodynamics
Volume	22
Issue number	6
DOIs	https://doi.org/10.1007/s00161-010-0164-7
State	Published - 1 Sep 2010

Keywords

Computer simulation
Dispersion pattern
Lattice dynamics
Resonance
Wave beaming

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
General Physics and Astronomy

Access to Document

10.1007/s00161-010-0164-7

Cite this

@article{22366c78f7474c1a9391627a65e68b40,

title = "Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems",

abstract = "Steady-state and transient processes of elasticwave propagation in infinite 2D massless and materialbond lattices subjected to a local monochromatic excitation are studied. Anti-plane dynamics of rectangular and triangular lattices is considered. Mathematical models of lattices, dispersion properties of free waves, and results of transient problems solution are presented. Resonant excitations of lattices are explored. Asymptotic solutions are compared with the results of computer simulation. Special attention is given to the wave-beaming pattern in the case of the excitation frequency located within a pass-band.",

keywords = "Computer simulation, Dispersion pattern, Lattice dynamics, Resonance, Wave beaming",

author = "G. Osharovich and M. Ayzenberg-Stepanenko and O. Tsareva",

year = "2010",

month = sep,

day = "1",

doi = "10.1007/s00161-010-0164-7",

language = "English",

volume = "22",

pages = "599--616",

journal = "Continuum Mechanics and Thermodynamics",

issn = "0935-1175",

publisher = "Springer New York",

number = "6",

}

TY - JOUR

T1 - Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems

AU - Osharovich, G.

AU - Ayzenberg-Stepanenko, M.

AU - Tsareva, O.

PY - 2010/9/1

Y1 - 2010/9/1

N2 - Steady-state and transient processes of elasticwave propagation in infinite 2D massless and materialbond lattices subjected to a local monochromatic excitation are studied. Anti-plane dynamics of rectangular and triangular lattices is considered. Mathematical models of lattices, dispersion properties of free waves, and results of transient problems solution are presented. Resonant excitations of lattices are explored. Asymptotic solutions are compared with the results of computer simulation. Special attention is given to the wave-beaming pattern in the case of the excitation frequency located within a pass-band.

AB - Steady-state and transient processes of elasticwave propagation in infinite 2D massless and materialbond lattices subjected to a local monochromatic excitation are studied. Anti-plane dynamics of rectangular and triangular lattices is considered. Mathematical models of lattices, dispersion properties of free waves, and results of transient problems solution are presented. Resonant excitations of lattices are explored. Asymptotic solutions are compared with the results of computer simulation. Special attention is given to the wave-beaming pattern in the case of the excitation frequency located within a pass-band.

KW - Computer simulation

KW - Dispersion pattern

KW - Lattice dynamics

KW - Resonance

KW - Wave beaming

UR - http://www.scopus.com/inward/record.url?scp=78650175934&partnerID=8YFLogxK

U2 - 10.1007/s00161-010-0164-7

DO - 10.1007/s00161-010-0164-7

M3 - Article

AN - SCOPUS:78650175934

SN - 0935-1175

VL - 22

SP - 599

EP - 616

JO - Continuum Mechanics and Thermodynamics

JF - Continuum Mechanics and Thermodynamics

IS - 6

ER -

Wave propagation in elastic lattices subjected to a local harmonic loading. II. Two-dimensional problems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this