Analysis of Critical Fracturing Pressure of Splitting Grouting Based on the Cavity Expansion Theory

HE Huan; KOU Lei

doi:10.21656/1000-0887.440324

Volume 45 Issue 12

Dec. 2024

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HE Huan, KOU Lei. Analysis of Critical Fracturing Pressure of Splitting Grouting Based on the Cavity Expansion Theory[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1555-1566. doi: 10.21656/1000-0887.440324

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Analysis of Critical Fracturing Pressure of Splitting Grouting Based on the Cavity Expansion Theory

doi: 10.21656/1000-0887.440324

HE Huan,
KOU Lei^,

School of Water Conservancy and Transporation, Zhengzhou University, Zhengzhou 450001, P.R.China

Funds:

The National Science Foundation of China(51708512；52079128)

Received Date: 2023-10-30
Rev Recd Date: 2024-03-19

Available Online: 2024-12-27

Abstract

Abstract

Based on the spherical cavity expansion theory, combined with the spatially mobilized plane (SMP) criterion and the critical state concept, the Wheeler model describing the anisotropy of soft clay was applied to analyze the spherical cavity expansion problem in split grouting. A dual interval analysis model was used to divide the soil into elastic and plastic zones, and the stress-strain and displacement fields of the soil around the cavity were derived under the elastic-plastic interval boundary conditions. Theoretical calculations of the soil expansion radius, the critical fracturing pressure, and the plastic volumetric strain after split grouting were carried out and demonstrated by several examples. The results show that, the radial and circumferential stresses decrease with parameter r/r_p;the critical fracturing pressure increases with the internal friction angle; the internal friction angle is an important influential factor in the elastic-plastic analysis of the soil, and the larger the internal friction angle is, the smaller the plastic circumferential strain, the plastic radius and the plastic displacement, and the larger the splitting pressure, will be.
- critical fracturing pressure,
- Wheeler model,
- SMP criterion,
- spherical cavity expansion

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References

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