Coupling of material point and continuum discontinuum element methods for simulating blast-induced fractures in rock

Yue, Zhongwen; Zhou, Jun‐Mei; Feng, Chun; Wang, Xu; Liu, Peng; Cong, Junyu

doi:10.1016/j.compgeo.2021.104629

Cited by 17 publications

(6 citation statements)

References 45 publications

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“…Because the material point method is independent of mesh distortion and convective term treatment, it has advantages as a numerical tool in modeling large deformation problems. Consequently, the method has been used to simulate the behavior of rock fracture under blast loading [44,45]. The numerical modeling setup for the rock single-hole blasting model with static and dynamic coupling is shown in Figure 4a.…”

Section: Numerical Simulation Modelmentioning

confidence: 99%

Numerical Study on the Fracturing of Deep Rock Masses by Blasting Based on the Material Point Method

Xiao,

Wang,

Gao

et al. 2024

Processes

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Blasting is a prevalent technique in deep rock excavation, with the state of rock fragmentation under high in-situ stress conditions being distinct from that under low in-situ stress conditions. A new material point method framework utilizing the generalized interpolated material point and convective particle domain interpolation functions was implemented to simulate the single-hole blasting process, analyze the stress distribution around the blasting hole, and elucidate the mechanism of how ground stress influences the expansion of blasting cracks through the interaction with the blasting load. In addition, the dynamic relaxation method realizes the stress’s initialization. It was concluded that the in-situ stress can increase the compressive stress induced by blasting load, whereas it decreases the caused tensile stress. With the increase in the ground stress, the scale of the cracks decreases. Under the non-isobaric condition, the blast-induced cracks preferentially expand along the high stress with the increase in the stress difference between the horizontal direction and the vertical direction, and the blast-induced cracks are suppressed to the greatest extent in the direction of the minimum ground stress.

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Section: Numerical Simulation Modelmentioning

confidence: 99%

Numerical Study on the Fracturing of Deep Rock Masses by Blasting Based on the Material Point Method

Xiao,

Wang,

Gao

et al. 2024

Processes

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“…where fracture energy, Young's modulus, shear modulus, Poisson's ratio, and tensile strength, The procedure of the explicit scheme for the CDEM is not presented here; interested readers are referred to Yue et al 53 for a recent overview.…”

Section: Computational Model Descriptionmentioning

confidence: 99%

“…This can be calculated from the stiffness value based on the theory of material strength in molecular mechanics and material fracturing as 52

({, \begin{array}{l} k_{n} goodbreak= \frac{E {\overset{true¯}{σ}}_{T}}{4 G_{f}^{I}} \\ k_{s} goodbreak= \frac{G {\overset{true¯}{σ}}_{T}}{4 G_{f}^{II}} \\ G goodbreak= \frac{E}{2 ((), 1 goodbreak+ ν)} \end{array})

where

k_{n}

k_{s}

G_{f}^{I}

G_{f}^{II}

E

G

ν

, and

{\overset{true¯}{σ}}_{T}

are the normal stiffness, shear stiffness, mode I fracture energy, mode II fracture energy, Young's modulus, shear modulus, Poisson's ratio, and tensile strength, respectively. The procedure of the explicit scheme for the CDEM is not presented here; interested readers are referred to Yue et al 53 for a recent overview.…”

Section: Numerical Studymentioning

confidence: 99%

Experiments and numerical simulations on dynamic crack behavior at the interface of layered brittle material

Zhou

Yue

Feng

et al. 2022

Fatigue Fract Eng Mat Struct

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Crack behavior at the interface between two materials is the core problem of layered material fracturing. In this paper, first, experimental tests were conducted on layered material using a drop weight test system following the caustics method. The layered material was made of poly (methyl methacrylate) (PMMA) and epoxy resin bonded with Loctite-330 at two inclination angles (30 and 60 ). A corresponding numerical simulation was carried out using continuum-discontinuum element methods. Crack propagation is found to mainly occur in mode I in the PMMA and epoxy resin but follows a mixed cracking mode at the interface. The fracture parameters of the crack tip in the layered materials changed substantially owing to the existence and change of the interface structure. After the crack enters the interface, the crack propagation speed increases significantly. Higher crack dip angles are associated with greater crack propagation speed increases after entering the interface. The simulation results indicate that the interface strength properties affect crack behavior at the interface. This effect also varies as a function of interface inclination and impact velocity.

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“…The model is a granite disk with radius 72 mm and a hole with a radius 3.225 mm, which is filled with PETN (Pentaerythritol Tetranitrate) [38], as a plane stress condition. The material parameters are taken based on [39]; see Table 1 and the parameter for explosive is listed in Table 2. In total, 39,480 triangular elements and 59,672 interface elements are created in the numerical model.…”

Section: Single Hole Blasting Testmentioning

confidence: 99%

A Novel Continuous-Discontinuous Multi-Field Numerical Model for Rock Blasting

et al. 2022

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During blasting, rock failure is caused by blasting wave and explosive gas pressure, as a multi-field coupled process. Most numerical models focus on the effect of blasting wave where the gas pressure is commonly accounted for by empirical relations, ignoring the penetration and permeation of gas flow in cracks. This can underestimate the failure region. In this work, a novel multi-field model is developed in the framework of a continuous-discontinuous element method (CDEM), which is a coupled finite-discrete method with explicit integration strategy. The deformation and cracking of rock mass and the distribution of gas pressure are captured. The proposed method is verified by comparing the results to other results provided in published literature. Especially, by simulating the cases with blocked and unblocked blasting hole, we found that: (i) The fracture degree of the case with blocked blasting hole was 30% higher than that of the unblocked blasting hole. (ii) The radial main cracks in the fracture area are mainly caused by the explosive gas, and the tiny and dense cracks near the hole are induced by the explosion stress wave. (iii) The explosion crushing zone is mainly formed by the action of explosion stress wave, while the crack zone is formed by the combined action of the explosion stress wave and explosive gas. The proposed method provides a useful tool to properly simulate a rock blasting process.

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Coupling of material point and continuum discontinuum element methods for simulating blast-induced fractures in rock

Cited by 17 publications

References 45 publications

Numerical Study on the Fracturing of Deep Rock Masses by Blasting Based on the Material Point Method

Numerical Study on the Fracturing of Deep Rock Masses by Blasting Based on the Material Point Method

Experiments and numerical simulations on dynamic crack behavior at the interface of layered brittle material

A Novel Continuous-Discontinuous Multi-Field Numerical Model for Rock Blasting

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