Probability Distribution for Mobilized Shear Strengths of Saturated Undrained Clays Modeled by 2-D Stationary Gaussian Random Field -A 1-D Stochastic Process View. (13th March 2014)

• Record Type: Journal Article
• Authors: Ching, J.; Lin, C.-J.
• Is Part Of: Journal of mechanics. Volume 30:Number 3(2014)
• Page Start: 229
• Page End: 239
• Publication Date: 2014-03-13
• Subjects: Random field -- Soil spatial variability -- Clay shear strength -- Probability distribution -- Continuous stochastic process; Mechanics, Analytic -- Periodicals; Mechanics -- Periodicals; 620.1005
• DOI: 10.1017/jmech.2014.9
• Languages: English
• ISSNs: 1727-7191

Abstract

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.