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Short wavelength approximation of a boundary integral operator for homogeneous and isotropic elastic bodies

Tanner, G. and Søndergaard, Niels LU (2007) In Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00 75(3). p.6-6
Abstract
A short wavelength approximation of a boundary integral operator for two-dimensional isotropic and homogeneous elastic bodies is derived from first principles starting from the Navier-Cauchy equation. Trace formulas for elastodynamics are deduced connecting the eigenfrequency spectrum of an elastic body to the set of periodic rays where mode conversion enters as a dynamical feature.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
CAVITY, BILLIARDS, SECTION METHOD, QUANTUM SURFACE, STATISTICAL ENERGY ANALYSIS, BACKSCATTERING, SCATTERING, SEMICLASSICAL QUANTIZATION, SYSTEM-MODES, WAVES
in
Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00
volume
75
issue
3
pages
6 - 6
publisher
American Physical Society
external identifiers
  • wos:000245324700063
  • scopus:33947227242
ISSN
1539-3755
DOI
10.1103/PhysRevE.75.036607
language
English
LU publication?
yes
id
d912a941-66c3-4150-83dc-100829067455 (old id 1417931)
date added to LUP
2009-06-11 10:27:53
date last changed
2017-10-08 03:31:47
@article{d912a941-66c3-4150-83dc-100829067455,
  abstract     = {A short wavelength approximation of a boundary integral operator for two-dimensional isotropic and homogeneous elastic bodies is derived from first principles starting from the Navier-Cauchy equation. Trace formulas for elastodynamics are deduced connecting the eigenfrequency spectrum of an elastic body to the set of periodic rays where mode conversion enters as a dynamical feature.},
  author       = {Tanner, G. and Søndergaard, Niels},
  issn         = {1539-3755},
  keyword      = {CAVITY,BILLIARDS,SECTION METHOD,QUANTUM SURFACE,STATISTICAL ENERGY ANALYSIS,BACKSCATTERING,SCATTERING,SEMICLASSICAL QUANTIZATION,SYSTEM-MODES,WAVES},
  language     = {eng},
  number       = {3},
  pages        = {6--6},
  publisher    = {American Physical Society},
  series       = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)2001-01-01+01:002016-01-01+01:00},
  title        = {Short wavelength approximation of a boundary integral operator for homogeneous and isotropic elastic bodies},
  url          = {http://dx.doi.org/10.1103/PhysRevE.75.036607},
  volume       = {75},
  year         = {2007},
}