08/22/2026
Critical state soil mechanics and NorSand can be difficult to understand intuitively from equations and static figures alone.
The state parameter ψ, contraction and dilation, critical-state calibration, and the resulting stress-strain response are closely connected, but it can be challenging to visualize how they work together.
To make these concepts easier to explore, I developed an interactive companion to Jefferies and Been’s Soil Liquefaction: A Critical State Approach.
Module 1 covers the critical-state framework, the state parameter ψ, stress-dilatancy, laboratory calibration, and NorSand.
The module is free, runs directly in a browser, and requires no sign-up. You can:
• Move a soil state relative to the critical state line and see ψ update in real time
• Explore why the same relative density can produce different behavior at different stress levels
• Investigate how ψ influences contraction, dilation, peak stress ratio, and friction angle
• Work through the calibration of critical-state properties using published values for 17 sands and tailings
• Run a NorSand stress-strain simulation and examine the influence of each model parameter
• Test your understanding with a 100-question quiz divided into short, topic-specific checkpoints
The goal is not to replace the textbook. It is to provide a visual and interactive environment for developing the intuition needed to understand the equations and apply them more confidently.
If you are a geotechnical engineering student, a practicing engineer revisiting critical-state concepts, or simply curious about the mechanics behind liquefaction assessment, I hope you find it useful.
🔗 Explore the interactive module:
https://lnkd.in/gwfRZjkh
There is also a comment section at the end. If something is unclear, you identify an error, or you have suggestions for improving the learning experience, I would genuinely appreciate your feedback.
Three more interactive modules are on the way, extending the learning path from critical-state fundamentals to field assessment and liquefaction analysis.
This link will take you to a page that’s not on LinkedIn