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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) 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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Contribution to journal
publication status
published
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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)
volume
75
issue
3
pages
6 - 6
publisher
American Physical Society
external identifiers
  • wos:000245324700063
  • scopus:33947227242
  • pmid:17500809
ISSN
1539-3755
DOI
10.1103/PhysRevE.75.036607
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
id
d912a941-66c3-4150-83dc-100829067455 (old id 1417931)
date added to LUP
2016-04-01 11:56:34
date last changed
2022-03-28 17:55:48
@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}},
  keywords     = {{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)}},
  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}},
  doi          = {{10.1103/PhysRevE.75.036607}},
  volume       = {{75}},
  year         = {{2007}},
}