Dynamic analysis of axisymmetric foundations on poroelastic media

ABS~ACT: .A bou?dary ele~ent method.(BE~) i~ presente? for the dynamic analysis of axisymmetric po­ roelastic media, subjected to time-harmomc excitation. The tntegral formulation, based on the fundamental solution of Biot's poroelastic theory, eliminates the need for domain discretization for piecewise homogeneous media and automatically satisfies the radiation conditions. Additionally, there is no special treatment required for the incompressibilty that may result under undrained conditions. The axisymmetric formulation that is de­ veloped offers further reduction in dimensionality of the problem and provides a convenient framework for inves~gating th~ behavior of circ~lar foundations. The BEM algorithm is validated via comparisons with an analytical soluti~n for th~ dynarmc response of a soil column under uniaxial loading and is then utilized to study the dynarmc compliance of a shallow circular foundation. The suitability of employing various quasistatic and elastodynamic idealizations is considered in some detail.