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Evaluation of collapsible deformation of foundation under rectangular load based on the improved binary medium model
Nadeem Abbas1, Muhammad Akbar2,3, S B A Elsayed4
1Department of Disaster Mitigation for Structures, Tongji University, Shanghai, China.
Plos One
|August 7, 2025
Summary
Extreme weather and climate change exacerbate foundation soil collapsibility. A new model accurately predicts collapsible loess deformation under load, crucial for geotechnical engineering hazard mitigation.
Area of Science:
- Geotechnical Engineering
- Environmental Science
- Soil Mechanics
Background:
- Extreme weather events and climate change increasingly impact foundation soil stability.
- Collapsible soils, particularly loess, pose significant geotechnical engineering challenges due to deformation and collapse phenomena.
- Soil moisture regimes and soil suction are critical factors influenced by climate change, affecting soil behavior.
Purpose of the Study:
- To formulate and solve differential equations for collapsible loess foundation deformation under concentrated force.
- To develop mathematical models for predicting lateral displacement, vertical displacement, and pore water pressure.
- To provide a validated model for analyzing the behavior of collapsible loess foundations under load.
Main Methods:
- Utilized an improved two-dimensional medium model combined with Biot consolidation theory, fracture mechanics, and continuum theory.
- Employed Laplace and Hankel transforms for solving differential equations, incorporating boundary conditions.
- Developed mathematical models considering vertical depth, radial distance, and saturation under rectangular load.
Main Results:
- The formulated differential equations accurately describe collapsible consolidation deformation.
- Mathematical models were established for displacement and pore water pressure in collapsible loess foundations.
- Numerical validation confirmed the model's accuracy, showing similarity to real-world engineering deformation.
Conclusions:
- The proposed model effectively simulates the deformation of collapsible loess foundations under load.
- This research significantly advances the theoretical understanding of collapsible loess foundation behavior.
- Findings are crucial for mitigating geotechnical hazards associated with collapsible soils in changing environmental conditions.
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