TY - JOUR
T1 - Transverse shear surface wave in a functionally graded material infinite half space
AU - Cao, Xiaoshan
AU - Jin, Feng
AU - Kishimoto, Kikuo
PY - 2012/5/1
Y1 - 2012/5/1
N2 - The variable substitution and power-series techniques are used for the asymptotic analytical derivation of the governing equation of a transverse surface wave. The results reveal that the transverse wave can propagate along the surface of a functionally graded infinite half space in various modes, and that their dispersion relations are normal. For certain cases, energy is concentrated on the surface region to a depth of several wavelengths. A new theoretical foundation based on the transverse surface wave can be provided for graded-material characterization by experimental measurement. Some phenomena of seismic wave propagation may also be explained.
AB - The variable substitution and power-series techniques are used for the asymptotic analytical derivation of the governing equation of a transverse surface wave. The results reveal that the transverse wave can propagate along the surface of a functionally graded infinite half space in various modes, and that their dispersion relations are normal. For certain cases, energy is concentrated on the surface region to a depth of several wavelengths. A new theoretical foundation based on the transverse surface wave can be provided for graded-material characterization by experimental measurement. Some phenomena of seismic wave propagation may also be explained.
KW - dispersion
KW - functionally graded material
KW - power-series technique
KW - transverse shear surface wave
KW - variable substitution
UR - https://www.scopus.com/pages/publications/84860493761
U2 - 10.1080/09500839.2012.659287
DO - 10.1080/09500839.2012.659287
M3 - 文章
AN - SCOPUS:84860493761
SN - 0950-0839
VL - 92
SP - 245
EP - 253
JO - Philosophical Magazine Letters
JF - Philosophical Magazine Letters
IS - 5
ER -