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
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.