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. 2023 Jan 25;13(1):1389.
doi: 10.1038/s41598-023-28649-2.

Fracture analysis-based mode-I stress intensity factors of crack under fracture grouting in elastic-plastic soils

Long Li  1 , Yousheng Deng  2
Affiliations

Fracture analysis-based mode-I stress intensity factors of crack under fracture grouting in elastic-plastic soils

Long Li et al. Sci Rep. .

Abstract

For the interaction of crack on the soil-grout interface under fracture grouting, an approximate method to determine the stress intensity factor (SIF) of crack on the soil-grout interface was proposed based on the conservation J2-integral. With this method, the energy release rate of crack propagation under fracture grouting can be defined by the parameters of elastic-plastic soils and the grouting pressure. In order to study the change of strain energy near the crack of elastic-plastic soil under fracture grouting, a mechanical model of elastic-plastic soil with crack was established based on non-associated Mohr-Coulomb criterion model, and the SIF of crack with spring boundary was investigated. The influence of the crack depth ratio and crack aspect ratio on the SIF of cracks under the spring boundary were analyzed, and revealed the rule of crack growth under fracture grouting in elastic-plastic soils. The results showed that the variation of the crack depth ratio and crack aspect ratio had an effect on the change of the SIF of cracks. Increasing the crack depth ratio and crack aspect ratio caused an increase in the SIF of the crack. The results can provide the reference for foundation reinforcement in elastic-plastic soils.

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Conflict of interest statement

The authors declare no competing interests.

Figures

Figure 1
Figure 1
Crack propagation model of fracture grouting.
Figure 2
Figure 2
The influence of internal friction angle and cohesion of elastic–plastic soils on fracture pressure.
Figure 3
Figure 3
Integration path and K-dominant region.
Figure 4
Figure 4
Conceptual model of theoretical procedure.
Figure 5
Figure 5
1/4 elliptical modelling for cracks with W/2 → 0.
Figure 6
Figure 6
Compression curves of undisturbed and compacted remolded elastic–plastic soils with the same dry density.
Figure 7
Figure 7
The model configuration of elastic-perfectly plastic soil.
Figure 8
Figure 8
The geometry of 1/4-elliptical crack.
Figure 9
Figure 9
Schematic diagram of finite element analysis model of crack growth.
Figure 10
Figure 10
SIFs for crack tip of the elastic–plastic soils under fracture grouting.
Figure 11
Figure 11
Crack analysis model based on fracture criterion of crack propagation.
Figure 12
Figure 12
Stress field and displacement field of elastic–plastic soils at different times during fracture grouting.
Figure 13
Figure 13
Relationships the normalized stress intensity factor and normalized crack length (0.2 ≤  a/t ≤ 0.5).
Figure 14
Figure 14
Relationships the normalized stress intensity factor and normalized crack length (0.5 ≤  a/c ≤ 0.8).
Figure 15
Figure 15
The relationship of crack length and grouting pressure.
Figure 16
Figure 16
The relationship of crack length and grouting time.
See this image and copyright information in PMC

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