Axisymmetric force inside a layered elastic half-space with a saturated top layer | |
| Author | Thye, Leong Yee |
| Call Number | AIT Thesis no. ST-79-18 |
| Subject(s) | Strains and stresses--Mathematical models Materials--Dynamic testing |
| 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 | This study formulates the stress and displacement due to a circular patch load applied asymmetrically inside a layered half-space. The top layer is made of a saturated porous elastic medium and governed by Biot's theory. The lower layer is of an ideal elastic medium. Laplace transform is applied to the time functions involved, and Hankel transform to the functions of the radial coordinate of which the origin is at the center of the half-space. Four different loading conditions are studied . The first case i s an axisymmetric patch load applied on the surface of the half-space. Eight constants have to be evaluated. The second case is an axisymmetric patch load applied in the saturated porous elastic layer. The saturated porous elastic layer is divided into two domains and each domain contains six constants. A total of fourteen constants have to be determined. The third case is an axisymmetric patch load applied at the boundary of the two layers. Eight constants have to be evaluated. For the last case, the load is applied in the ideal elastic layer. The ideal elastic layer is divided into an upper domain which contains four constants and a lower domain containing two constants. The constants are determined from an appropriate set of governing boundary and continuity equations. Final and initial solutions are attempted. The final solution is identical to the ideal electrostatic solution. The initial solution is identical to that of the ideal electrostatic solution of an incompressible solid, but consists of nonzero excess pore pressure. |
| Year | 1979 |
| Type | Thesis |
| School | School of Engineering and Technology |
| Department | Department of Civil and Infrastucture Engineering (DCIE) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Karasudhi, Pisidhi |
| Examination Committee(s) | Kawaguchi, Masahiro ; Worsak Kanok-Nukulchai |
| Scholarship Donor(s) | Government of Japan |
| Degree | Thesis (M.Eng.) - Asian Institute of Technology, 1979 |