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Variational Stability Analysis of Cohesive Slope by Applying Boundary Integral Equation Method

Published online by Cambridge University Press:  05 May 2011

L.-Y. Wu  and
Y.-F. Tsai
L.-Y. Wu*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Y.-F. Tsai*
Affiliation:
Department of Engineer and Maintenance, National Taiwan University Hospital, Taipei, Taiwan 10002, R.O.C.
*
* Associate Professor
** Section Chief
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Abstract

Applying the concept of minimum potential energy and the variational method proposed in this paper, one can derive the governing equation and transversality conditions for the critical slip surface of a cohesive land slope described by simplified Janbu's model where both horizontal and vertical inter-slice forces are neglected. The governing equation, transversality conditions and boundary conditions were solved by the boundary integral equation method, which is a one dimensional BIEM, so that the critical slip surface and its associated minimal factor of safety can be determined effectively. By comparison of the results gotten from the boundary integral equation method and other numerical methods, it can be concluded, that, for some simplified cases, by using the boundary integral equation method on slope stability analysis of a cohesive land slope, a more reasonable result can be obtained.

Keywords

Minimum potential energyVariational methodFinite difference methodWeighted residual methodBoundary integral equation method
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 3 , September 2005 , pp. 187 - 198
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

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