An assessment of statistically based relationships between critical state parameters

Abstract

Reliability-based design (RBD) has been proved effective in the application of probability theory to research and practice in geotechnical engineering. However, the limited field and laboratory information makes it difficult to build robust predictions. This note shows some statistical relationships that may help with additional information in this area. Descriptive statistics are performed in the note followed by demonstrations of the close relationship between deformabilty parameters. The strong correlation between the slope of the critical state line and the earth pressure coefficient at rest is found. The applicability of the statistical relationships is also examined using RBD. Numerical analysis of oedometer tests demonstrates how RBD can consider the influence of the uncertainty of the critical state parameters.