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Equivalent deformation modulus of sandy pebble soil-Mathematical derivation and numerical simulation
Ji Zhi Huang1, Guo Yuan Xu1, Yu Wang2
1School of Civil Engineering & Transportation, South China University of Technology, Guangzhou, Guangdong 510641, China.
Mathematical Biosciences and Engineering : MBE
|May 30, 2019
Summary
This study developed analytical formulas to calculate the mechanical properties of sandy pebble soil, validated by finite element analysis. These formulas accurately predict soil behavior across various pebble contents, aiding in construction applications.
Area of Science:
- Geotechnical Engineering
- Soil Mechanics
- Computational Mechanics
Background:
- Sandy pebble soil presents complex mechanical behaviors.
- Accurate characterization is crucial for infrastructure projects.
Purpose of the Study:
- To investigate the mechanical properties of sandy pebble soil.
- To derive analytical formulas for equivalent deformation modulus.
- To validate theoretical models with numerical simulations.
Main Methods:
- Theoretical deduction using Representative Volume Elements (RVEs).
- Assumption of stress uniformity or strain uniformity.
- Finite element analysis using ABAQUS software.
Main Results:
- Analytical formulas for equivalent deformation modulus were derived.
- Theoretical calculations closely matched numerical simulation results.
- Formulas are effective for pebble content from 0-60%.
Conclusions:
- The
- Stress Uniformity Model
- is applicable for pebble content <20%.
- A modified transition formula describes the constitutive model for 20%-60% pebble content.
- The developed theories aid in shield excavation parameter determination and ground settlement prediction.
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