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Probability Distribution for Mobilized Shear Strengths of Saturated Undrained Clays Modeled by 2-D Stationary Gaussian Random Field - A 1-D Stochastic Process View

Published online by Cambridge University Press:  13 March 2014

J. Ching  and
C.-J. Lin
J. Ching*
Affiliation:
Department of Civil Engineering, National Taiwan UniversityTaipei, Taiwan 10617, R.O.C.
C.-J. Lin
Affiliation:
Department of Civil Engineering, National Taiwan UniversityTaipei, Taiwan 10617, R.O.C.
*
[email protected]
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Abstract

This paper shows that the mobilized shear strength of a two-dimensional (2-D) spatially variable saturated undrained clay is closely related to the extreme value of a one-dimensional (1-D) continuous stationary stochastic process. This 1-D stochastic process is the integration of the 2-D spatially variable shear strength along potential slip curves. Based on this finding, a probability distribution model for the mobilized shear strength of the 2-D clay is developed based on a probability distribution model for the extreme value of the 1-D stochastic process. The latter (the model for the 1-D extreme value) has analytical expressions. With the proposed probability distribution model, the mobilized shear strength of a 2-D clay can be simulated without the costly random field finite element analyses.

Keywords

Random fieldSoil spatial variabilityClay shear strengthProbability distributionContinuous stochastic process
Type
Research Article
Information
Journal of Mechanics , Volume 30 , Issue 3 , June 2014 , pp. 229 - 239
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

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