A state-dependent non-coaxial model of sand using a modified vertex theory and its FEM application

In this paper, a modified vertex theory is proposed, and then a non-coaxial plastic model of sand is constructed by introducing the proposed theory into a state dependent dilatancy model. The distinctive feature of this model is that non-coaxial plasticity is only given under the principal stress ax...

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Bibliographic Details
Published in:Acta geotechnica 2022-03, Vol.17 (3), p.741-753
Main Authors: Wang, Xing, Kong, Liang, Li, Xue-feng, Ma, Wen-guo
Format: Article
Language:English
Subjects:
Algorithms
Bearing capacity
Complex Fluids and Microfluidics
Dilatancy
Engineering
Foundations
Geoengineering
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Plastic properties
Plasticity
Research Paper
Sand
Shear
Shear tests
Simple shear tests
Soft and Granular Matter
Soil Science & Conservation
Solid Mechanics
Stiffness
Theories
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Summary:In this paper, a modified vertex theory is proposed, and then a non-coaxial plastic model of sand is constructed by introducing the proposed theory into a state dependent dilatancy model. The distinctive feature of this model is that non-coaxial plasticity is only given under the principal stress axis rotation condition. The capability of the model to capture the non-coaxial phenomena is verified by the simple shear test. Furthermore, in order to use the established model to analyze the bearing capacity of foundation, the formulas corresponding to the semi-implicit integration algorithm are derived, and then the applicability of the algorithm to the non-coaxial model is evaluated by simulating the simple shear test of a single element. Finally, the effects of non-coaxiality on the bearing capacity of foundation are analyzed and the results show that the introduction of non-coaxial plasticity reduces the overall stiffness of the foundation model, and neglecting the non-coaxial influences may lead to unsafe designs.
ISSN:1861-1125
1861-1133
DOI:10.1007/s11440-021-01281-y