Abstract
With the purpose to investigate the influence of joint dip angle and spacing on the TBM rock-breaking efficacy and cracking behaviour, experiments that include miniature cutter head tests are carried out on sandstone rock material. In the experiment, prefabricated joints of different forms are made in rock samples. Then theoretical analysis is conducted to improve the calculating models of the fractured work and crack length of rock in the TBM process. The experimental results indicate that lower rupture angles appear for specimens with joint dip angles between 45° and 60°. Meanwhile, rock-breaking efficacy for rock mass with joint dip angles in this interval is also higher. Besides, the fracture patterns are transformed from compressive shear mode to tensile shear mode as the joint spacing decreases. As a result, failure in a greater extent is resulted for specimens with smaller joint spacings. The results above suggest that joint dip angle between 45° and 60° and joint spacing of 1 cm are the optimal rock-breaking conditions for the tested specimens. Combining the present experimental data and taking the joint dip angle and spacing into consideration, the calculating model for rock fractured work that proposed by previous scholars is improved. Finally, theoretical solution of rock median and side crack length is also derived based on the analytical method of elastoplastic invasion fracture for indenter. The result of the analytical solution is also in good agreement with the actual measured experimental result. The present study may provide some primary knowledge about the rock cracking character and breaking efficacy under different engineering conditions.
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Abbreviations
- α :
-
Rock joint angle
- θ :
-
Dip angle of the primary crack face
- β :
-
Intersection angles between the primary crack and the joint face
- ψ :
-
The cutting angle of the cutter head on the rock mass
- d :
-
Joint spacing
- W :
-
Rock fractured work
- F :
-
Axial stress in the loading process
- E(F):
-
The expected value of the axial stress
- u :
-
Total rock cutting depth
- K r :
-
Stress intensity factor
- K c :
-
Material toughness K c
- E :
-
The Young’s modulus
- c :
-
The median crack length
- c * :
-
The side crack length
- V :
-
The volume of the plastic zone
- H :
-
The indentation pressure
- a :
-
A characteristic dimension of the indentation
- F :
-
The acting force on the rock mass
- \( \nu \) :
-
The Poisson’s ratio
- h :
-
The height of the side crack to the rock horizontal surface
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Acknowledgements
The financial support from the fundamental research funds for the Natural Science Fund of China (No. 51409026), the National Basic Research Program of China (973 Program, No. 2014CB046903), and the general project of Chongqing Foundation (cstc2017shmsA30017) are greatly appreciated.
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Yang, H., Liu, J. & Liu, B. Investigation on the Cracking Character of Jointed Rock Mass Beneath TBM Disc Cutter. Rock Mech Rock Eng 51, 1263–1277 (2018). https://doi.org/10.1007/s00603-017-1395-8
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DOI: https://doi.org/10.1007/s00603-017-1395-8