Forced vertical and horizontal movements of a rectangular rigid foundation on a transversely isotropic half‐space |
| |
| Authors: | Morteza Eskandari‐Ghadi Azizollah Ardeshir‐Behrestaghi Ronald Y S Pak Mostafa Karimi Masoud Momeni‐Badeleh |
| |
| Institution: | 1. Department of Engineering Science, College of Engineering, University of Tehran, , Tehran, Iran;2. Department of Civil Engineering., Mazandaran University of Science and Technology, , Babol, Iran;3. Department of Civil, Environmental and Architectural Engineering, University of Colorado, , Boulder, CO, U.S.A. |
| |
| Abstract: | An analytical investigation of a half‐space containing transversely isotropic material under forced vertical and horizontal displacements applied on a rectangular rigid foundation is presented in this paper. With the goal of a rigorous solution to the shape‐ and rigidity‐ induced singular mixed boundary value problem, the formulation employs scalar potential representation, the Fourier expansion and the Hankel integral transforms method to obtain the surface arbitrary point‐load solution in cylindrical coordinate system. The obtained Green's functions are rewritten in rectangular coordinate system, allowing the response of the half‐space because of an arbitrary distributed load on a rectangular surface area be given in terms of a double integral. The numerical evaluations of stresses are done with the use of an element, which is singular at the edge and the corner of the rectangle. Upon the imposition of the rigidity displacement boundary condition for a rigid foundation and the use of a set of two‐dimensional adaptive‐gradient elements, which can capture the singular behavior in the contact stress effectively, a set of new numerical results are presented to illustrate the effect of transverse isotropy on the foundation response. Copyright © 2012 John Wiley & Sons, Ltd. |
| |
| Keywords: | transversely isotropic half‐space rectangular foundation finite element method adaptive gradient element |
|
|
