Hostname: page-component-77c89778f8-sh8wx Total loading time: 0 Render date: 2024-07-24T23:38:43.209Z Has data issue: false hasContentIssue false
  • English
  • Français

A New Procedure for Simulating Active Lateral Force in Spatially Variable Clay Modeled by Anisotropic Random Field

Published online by Cambridge University Press:  11 August 2015

Y.-G. Hu  and
J. Ching
Y.-G. Hu
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan
J. Ching*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan
*
* Corresponding author (jyching@gmail.com)
Get access

Abstract

A new procedure for simulating the active lateral force (Pa) is proposed for clays with anisotropic spatially variable undrained shear strength (su). With the proposed procedure, the Pa samples can be simulated without the use of the random field finite element method (RFEM). It requires only simple algebraic calculations and chart checking. Two retaining wall examples with isotropic or anisotropic random field are used to demonstrate the effectiveness of the proposed procedure.

Keywords

Soil spatial variabilityGeotechnical engineeringActive lateral forceAnisotropic random field
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 4 , August 2015 , pp. 381 - 390
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Hu, Y. G. and Ching, J., “Impact of Spatial Variability in Undrained Shear Strength on Active Lateral Force in Clay,” Structural Safety, 52, pp. 121–131 (2015).Google Scholar
2.Phoon, K. K., “Reliability-Based Design of Foundations for Transmission Line Structures,” Ph.D. Dissertation, Cornell University (1995).Google Scholar
3.Fenton, G. A. and Griffiths, D. V., “Bearing Capacity Prediction of Spatially Random c-φ Soils,” Canadian Geotechnical Journal, 40, pp. 54–65 (2003).Google Scholar
4.Breysse, D., Niandou, H., Elachachi, S. and Houy, L., “A Generic Approach to Soil-Structure Interaction Considering the Effects of Soil Heterogeneity,” Geotechnique, 55, pp. 143–150 (2005).Google Scholar
5.Fenton, G. A., Griffiths, D. V. and Williams, M. B., “Reliability of Traditional Retaining Wall Design,” Geotechnique, 55, pp. 55–62 (2005).CrossRefGoogle Scholar
6.Soubra, A. H., Massih, Y. A. and Kalfa, M., “Bearing Capacity of Foundations Resting on a Spatially Random Soil,” GeoCongress: Geosustainability and Geohazard Mitigation (GSP 178), New Orleans Louisiana US, pp. 66–73 (2008).Google Scholar
7.Hu, Y. G. and Ching, J., “The Critical Scale of Fluctuation for Active Lateral Forces in Spatially Variable Undrained Clays,” Computers and Geotechnics, 57, pp. 24–29 (2014).Google Scholar
8.Vanmarcke, E. H., “Probabilistic Modeling of Soil Profiles,” Journal of Geotechnical Engineering Division, ASCE, 103, pp. 1227–1246 (1997)CrossRefGoogle Scholar
9.Vanmarcke, E. H., Random Fields: Analysis and Synthesis, MIT Press, Cambridge, Massachusetts (1984).Google Scholar
10.Jha, S. K. and Ching, J., “Simulating Spatial Averages of Stationary Random Field Using Fourier Series Method,” Journal of Engineering Mechanics, 139, pp. 594–605 (2013).CrossRefGoogle Scholar
11.Vanmarcke, E. H., “Reliability of Earth Slopes,” Journal of Geotechnical Engineering Division, 103, pp. 1247–1265 (1997).CrossRefGoogle Scholar
12.Fenton, G. A. and Griffiths, D. V., Risk Assessment in Geotechnical Engineering, John Wiley & Sons, New York (2008).Google Scholar
13.Ching, J., Phoon, K. K. and Kao, P. H., “Mean and Variance for Mobilized Shear Strengths of Spatially Variable Soils under Uniform Stress States,” Journal of Engineering Mechanics, 140, pp. 487–501 (2014).Google Scholar
14.Li, C. and Der Kiureghian, A., “Optimal Discretization of Random Fields,” Journal of Engineering Mechanics, 119, pp. 1136–1154 (1993).Google Scholar
15.El-Ramly, H., Morgenstern, N. R. and Cruden, D. M., “Lodalen Slide: A Probabilistic Assessment,” Canadian Geotechnical Journal, 43, pp. 956–968 (2006).CrossRefGoogle Scholar