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Geomechanics and Engineering
  Volume 28, Number 1, January10 2022 , pages 89-105
DOI: https://doi.org/10.12989/gae.2021.28.1.089
 


Distribution of elastoplastic modulus of subgrade reaction for analysis of raft foundations
Kamran Rahgooy, Amin Bahmanpour, Mehdi Derakhshandi and Ahad Bagherzadeh-Khalkhali

 
Abstract
    The behavior of the soil subgrade is complex and irregular against loads. When modeling, the soil is often replaced by a more straightforward system called a subgrade model. The Winkler method of linear elastic springs is a popular method of soil modeling in which the spring constant shows the modulus of subgrade reaction. In this research, the factors affecting the distribution of the modulus of subgrade reaction of elastoplastic subgrades are examined. For this purpose, critical theories about the modulus of subgrade reaction were examined. A square raft foundation on a sandy soil subgrade with was analyzed at different internal friction angles and Young's modulus values using ABAQUS software. To accurately model the actual soil behavior, the elastic, perfectly plastic constitutive model was applied to investigate a foundation on discrete springs. In order to increase the accuracy of soil modeling, equations have been proposed for the distribution of the subgrade reaction modulus. The constitutive model of the springs is elastic, perfectly plastic. It was observed that the modulus of subgrade reaction under an elastic load decreased when moving from the corner to the center of the foundation. For the ultimate load, the modulus of subgrade reaction increased as it moved from the corner to the center of the foundation.
 
Key Words
    elastic; finite element method; modulus of subgrade reaction; perfectly plastic spring; raft foundation
 
Address
Kamran Rahgooy, Amin Bahmanpour, Mehdi Derakhshandi and Ahad Bagherzadeh-Khalkhali: Department of Civil Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
 

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