OBLIQUE SCATTERING OF AN ELASTIC-WAVE FROM A MULTILAYERED CYLINDER INA SOLID - TRANSFER-MATRIX APPROACH

Citation
W. Huang et al., OBLIQUE SCATTERING OF AN ELASTIC-WAVE FROM A MULTILAYERED CYLINDER INA SOLID - TRANSFER-MATRIX APPROACH, The Journal of the Acoustical Society of America, 99(5), 1996, pp. 2742-2754
Citations number
34
Categorie Soggetti
Acoustics
ISSN journal
00014966
Volume
99
Issue
5
Year of publication
1996
Pages
2742 - 2754
Database
ISI
SICI code
0001-4966(1996)99:5<2742:OSOAEF>2.0.ZU;2-X
Abstract
The scattering of an elastic wave obliquely incident on a multilayered cylinder in a solid is studied using a transfer matrix approach. Scat tering of longitudinal and shear waves with arbitrary polarizations ar e considered. To facilitate the derivation of the solutions for scatte ring in the multilayered cylindrical system, a 6X6 transfer matrix is introduced for each cylindrical layer to relate the stresses and displ acements on the inner and outer boundaries of that layer. A total tran sfer matrix relating the elastic field in the surrounding matrix to th at in the cylinder core is obtained as a product of individual transfe r matrices of intermediate layers. Numerical examples are given for a coated multiphase SiC fiber in a titanium matrix. Frequency and angle dependencies of specularly reflected and forward-scattered waves, and of the total scattering cross section, are calculated for different fi ber-matrix interphase properties. (C) 1996 Acoustical Society of Ameri ca.