Fundamental solutions and boundary element for saturated porous halfspace | |
| Author | Chau, Kam-tim |
| Call Number | AIT Thesis no.ST-87-3 |
| Subject(s) | Soil consolidation Porous materials Finite element method |
| Note | A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Abstract | A new axisymmetric boundary element for saturated porous media is presented in this study based on the Biot model and Cleary-Cheng reciprocal relation which is constructed in the Laplace transformed space. The corresponding boundary integral equations can be obtained by integrating the reciprocal relation. Linear and quadratic boundary elements have been used to discretize the boundaries. Furthermore, the coupling between finite and boundary elements has been used to model a semi-infinite saturated half-space under circular load . Validity and correctness have been verified by the McNamee-Gibson exact solution. Schapery' s approximate formula is adopted for the Laplace inversion throughout this study. In order to handle the traction free surface efficiently, half-space fundamental solutions due to point loads and point source are required. Since the half-space fundamental solutions for porous media are not availab le in the literature, based on Biot's theory, fundamental solutions for a saturated porous elastic half-space , under a vertical and a horizontal interior point loads as well as an interior point source are derived using the Hankel-Laplace and the Fourier-Laplace transform techniques respectively. These results present a classical solution for elastic porous media. The point loads fundamental solutions are in parallel to the classical Mindlin solution for elastic nonporous media. For the point load solutions, numerical examples have verified the correctness and the validity of these fundamental solutions by comparing its -vspecial cases with the Mindlin and the Boussinesq solutions. For the point source, the general behavior of the solution is confirmed by comparing with the finite/infinite element method. The proposed boundary element provides an alternative to the existing infinite element algorithm to model the infinite domain more efficiently . |
| Year | 1987 |
| Type | Thesis |
| School | School of Civil Engineering |
| Department | Other Field of Studies (No Department) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Worsak Kanok-Nukulchai |
| Examination Committee(s) | Hasegawa Akio ;Karasudhi, Pisidhi |
| Scholarship Donor(s) | His Majesty, The King of Thailand. |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1987 |