Short wavelength approximation of a boundary integral operator for homogeneous and isotropic elastic bodies
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1417931
- author
- Tanner, G. and Søndergaard, Niels LU
- organization
- publishing date
- 2007
- 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)
- 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}}, }