Dynamic response of a laterally-loaded infinite rigid cylinder embedded in a saturated poroelastic medium

Osman, A.S.; Hussein, M.F.M.

Dynamic response of a laterally-loaded infinite rigid cylinder embedded in a saturated poroelastic medium

Osman, A.S.; Hussein, M.F.M.

Authors

Professor Ashraf Osman ashraf.osman@durham.ac.uk
Professor

M.F.M. Hussein

Contributors

W. Tizani
Editor

Abstract

In this paper, an analytical solution for the response of a rigid cylinder embedded in a full-space poroelastic medium subjected to a dynamic lateral load is derived. The problem is idealised as a two-dimensional problem. The solution is obtained using Biot’s theory for acoustic waves. In this solution, the displacements of the solid skeleton and the pore pressure are expressed in terms of three scalar potentials. These potential correspond to the wave velocities of the slow and fast compressional wave and to the shear wave. The governing equation for the dynamic motion is expressed in the frequency domain using Fourier transformation and the potentials are shown to be given by Holmholtz equations.

Citation

Osman, A., & Hussein, M. (2010). Dynamic response of a laterally-loaded infinite rigid cylinder embedded in a saturated poroelastic medium. In W. Tizani (Ed.), Proceedings of 13th International Conference on Computing in Civil and Building Engineering (ICCBE 2010) and the 17th International EG-ICE Workshop on Intelligent Computing in Engineering (ICE10), Nottingham, UK, 30 June - 2 July 2010

Conference Name	The International Society for Computing in Civil and Building Engineering (ISCCBE)
Conference Location	Nottingham, England
Acceptance Date	Jan 4, 2016
Publication Date	Jan 1, 2010
Deposit Date	Jan 4, 2016
Publicly Available Date	Apr 14, 2016
Book Title	Proceedings of 13th International Conference on Computing in Civil and Building Engineering (ICCBE 2010) and the 17th International EG-ICE Workshop on Intelligent Computing in Engineering (ICE10), Nottingham, UK, 30 June - 2 July 2010.
Public URL	https://durham-repository.worktribe.com/output/1151434
Publisher URL	http://www.engineering.nottingham.ac.uk/icccbe/