Gf. Dargush et Mb. Chopra, DYNAMIC ANALYSIS OF AXISYMMETRICAL FOUNDATIONS ON POROELASTIC MEDIA, Journal of engineering mechanics, 122(7), 1996, pp. 623-632
A boundary element method (BEM) is presented for the dynamic analysis
of axisymmetric poroelastic media, subjected to time-harmonic excitati
on. The integral formulation, based on the fundamental solution of Bio
t's poroelastic theory, eliminates the need for domain discretization
for piecewise homogeneous media and automatically satisfies the radiat
ion conditions. Additionally, there is no special treatment required f
or the incompressibilty that may result under undrained conditions. Th
e axisymmetric formulation that is developed offers further reduction
in dimensionality of the problem and provides a convenient framework f
or investigating the behavior of circular foundations. The BEM algorit
hm is validated via comparisons with an analytical solution for the dy
namic response of a soil column under uniaxial loading and is then uti
lized to study the dynamic compliance of a shallow circular foundation
. The suitability of employing various quasistatic and elastodynamic i
dealizations is considered in some detail.