A new mathematical model for the estimation of shear modulus for unsaturated compacted soils


Zhai Q. Zhang R. Rahardjo H. Satyanaga A. Dai G. Gong W. Zhao X. Chua Y.S.
October 2024Canadian Science Publishing

Canadian Geotechnical Journal
2024#61Issue 102124 - 2137 pp.

Small-strain shear modulus (G) is an essential parameter for many geotechnical analyses. Most of shallow foundations are constructed in an unsaturated soil and the shear modulus of the unsaturated soil fluctuates because of the precipitation, evaporation, and rising of ground water table. In this paper, a new mathematical model is proposed for the estimation of the shear modulus function, Gunsat, which defines the relationship between small-strain modulus of unsaturated soil and matric suction. In the proposed model, the soil-water characteristic curve in the form of the degree of saturation is used as the input information. There are additional two parameters named n and C, which can be calibrated with the experimental data, are adopted in the proposed model. The estimated results show good agreement with the experimental data from literature. The proposed method can be used to track the tendency of Gunsat and minimize the data points from the laboratory tests.

estimation , mathematical model , shear modulus of saturated soil , shear modulus of unsaturated soil , soil-water characteristic curve

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Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education, School of Civil Engineering, Southeast University, Nanjing, 210096, China
School of Civil and Environmental Engineering, Nanyang Technological University, Block N1, Nanyang Ave, Singapore, 639798, Singapore
Department of Civil and Environmental Engineering, School of Engineering and Digital Sciences, Nazarbayev University, Kabanbay Batyr Ave., 53, Nur-Sultan, 010000, Kazakhstan
Hocklim Engineering Pte Ltd, Singapore

Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education
School of Civil and Environmental Engineering
Department of Civil and Environmental Engineering
Hocklim Engineering Pte Ltd

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