Numerical investigation on the fragmentation behaviour of hard rock with a pre-existing crack under TBM cutter using cohesive zone model

Abstract

This paper presents a numerical investigation into the fragmentation behaviour of pressure-dependent rock with a pre-existing crack under a TBM cutter. To achieve this purpose, an intrinsic cohesive zone model is employed for modelling the initiation, propagation, intersection and closure of cracks. Additionally, the bilinear constitutive law for the cohesive elements is employed to consider the pressure-dependent behaviour of the hard rock with a tensile strength of 6.5 MPa. Firstly, the effectiveness of rock model is validated by comparing the numerical results with the outcomes of the uniaxial compression and triaxial compression experiments. Subsequently, the fragmentation process of the rock under the indention of an elastic cutter of TBM is simulated to numerically investigate the effects of the position and geometry of the pre-existing crack, and the confining pressure on the rock fragmentation. It is found that the depth, length and position of the pre-existing crack, as well as the confining pressure, have a significant effect on the response and fragmentation of rock , including the crack pattern, the crack area, and the contact force from the TBM cutter. Specifically, a deeper and shorter pre-existing crack farther from the contact zone leads to higher contact force and more initial cracks. Furthermore, cracks in the vicinity of the contact zone are typically induced by shear (i.e. mode-II cracks), while the cracks below the pre-existing crack are generated by tension (i.e. mode-I cracks). As the confining pressure increases, the area of the mode-II cracks increases, while the area of the mode-I ones decreases.