Non-coaxial sand model based on improved vertex theory and its application

WANG Xing; KONG Liang; LI Xue-feng

doi:10.11779/CJGE202102005

Volume 43 Issue 2

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Chinese Journal of Geotechnical Engineering > 2021 > 43(2): 254-262. > DOI: 10.11779/CJGE202102005

WANG Xing, KONG Liang, LI Xue-feng. Non-coaxial sand model based on improved vertex theory and its application[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(2): 254-262. DOI: 10.11779/CJGE202102005

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Non-coaxial sand model based on improved vertex theory and its application

WANG Xing^{1, 2,},
KONG Liang^{1, 2, ,},
LI Xue-feng³

1.
School of Civil Engineering, Qingdao University of Technology, Qingdao 266033, China
2.
School of Sciences, Qingdao University of Technology, Qingdao 266033, China;
3.
Solid Mechanics Institute, Ningxia University, Yinchuan 750021, China

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Received Date: April 21, 2020
Available Online: December 04, 2022

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Abstract

Abstract

Although the non-coaxial models based on the traditional vertex theory can capture the non-coaxial behavior of sand, they contain some theoretical defects. An improved vertex theory is proposed and added to the state-dependent dilatancy model for sand, thus a new non-coaxial sand constitutive model is established. In this model, the non-coaxial plastic deformation is given only under loading conditions involving the change of the principal stress direction, which overcomes the shortcomings of the traditional vertex non-coaxial models. The implicit stress integration algorithm and consistent stiffness tensor of the model are given, and then the algorithm is verified by the simple shear experiment on Toyoura sand. Finally, the bearing capacity of strip foundation is analyzed by using the established model. The predicted results show that the introduction of the non-coaxial plasticity reduces the overall stiffness of the foundation model and results in a softer mechanical response, and neglecting the non-coaxial influences may lead to unsafe design.
- non-coaxiality,
- improved vertex theory,
- implicit integration algorithm,
- bearing capacity of strip foundation

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References

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