Green Functions for a Continuously Non-homogeneous Saturated Media
Sarang Seyrafian; Behrouz Gatmiri; and Asadollah Noorzad

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 15, No. 2, pp. 115-126, 2006
Download Full length paper in PDF format. Size = 234,141 bytes
Keywords Boundary element method, Green function, Depth non-homogeneity , Saturated media, Soil-structure interaction.
Abstract An analytical solution is presented for the response of a non-homogeneous saturated poroelastic half-space under the action of a time-harmonic vertical point load on its surface. The shear modulus is assumed to increase continuously with depth and also the media is considered to obey Biot's poroelastic theory. The system of governing partial differential equations, based on the mentioned assumptions, is converted to ordinary differential equations' system by means of Hankel integral transforms. Then the system of equations is solved by use of generalized power series(Frobenius method) and the expressions for displacements in the interior of the media or in the other words, the Green functions for the media are derived by avoiding to introduction of any potential functions. Selected numerical results are presented to demonstrate the effect of depth non-homogeneity on dynamic response of the media.
PDF download PDF