The influence of material attenuation on Lamb wave dispersion behavior
has been studied analytically. As the attenuation is increased, keepi
ng the ratio of the bulk longitudinal to bulk sheer wave attenuation c
onstant at the value measured in high-density polyethylene, the degree
of coupling between the shear and longitudinal partial waves decrease
s and the phase velocity dispersion curves for different modes of the
same symmetry can cross; this is not possible for an elastic plate. Wi
th increasing attenuation, some modes become asymptotic to the bulk lo
ngitudinal velocity at high frequency, rather than to the bulk shear v
elocity. At high values of attenuation, there is minimal coupling betw
een the longitudinal and shear partial waves and the behavior of the l
ongitudinal modes is analogous to that of a ''fluid plate.'' The predi
cted group velocities and attenuations of selected modes in a high-den
sity polyethylene plate have been checked experimentally, and good agr
eement was obtained. (C) 1998 Acoustical Society of America. [S0001-49
66(98)02508-9].