Probability distribution for mobilized shear strengths of saturated undrained clays modeled by 2-D stationary gaussian random field - A 1-D stochastic process view
Journal
Journal of Mechanics
Journal Volume
30
Journal Issue
3
Pages
229-239
Date Issued
2014
Author(s)
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. Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014.
Type
journal article