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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 19 > No. 3

 
   

Mathematical Modeling and Analysis of Stress Transfer Mechanisms in Stone Column-Supported Foundations under Seismic Loading

PP: 595-603
doi:10.18576/amis/190310
Author(s)
Mohammed Y. Fattah, Makki K. M. Al-Recaby, Mohamed Hafez, Ann M. Raheem, Moustafa Magdy, Mostafa S. Omar, Mohammad Mohie Eldin,
Abstract
The performance of stone columns in enhancing the stability of structures subjected to seismic loads has significant implications for soil improvement in soft clay soils. This research presents a computational and experimental analysis of stress transfer mechanisms in stone column-supported foundations under dynamic seismic loading. A series of mathematical models were developed to simulate stress distribution and displacement patterns within standard and geogrid- encased stone columns (OSC and GESC), incorporating varying shear strengths of clay soils and seismic frequencies. The finite element method (FEM) was employed to validate shaking box model experiments, with 18 models tested across dynamic loading scenarios. Key findings include the influence of frequency and undrained shear strength on lateral stress values and the enhanced resistance offered by geogrid-encased columns. The study further illustrates that stress values at half the depth of the stone column are consistently higher than those at one-third of the depth, corroborating analytical predictions. The integration of experimental data with mathematical analysis provides a robust framework for optimizing stone column design in earthquake-prone regions.

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