Micro-mechanical modeling of the macro-mechanical response and fracture behavior of rock using the numerical manifold method

Wu, Zhijun; Fan, L.F.; Liu, Quansheng; Ma, Guowei

doi:10.1016/j.enggeo.2016.08.018

Cited by 182 publications

(29 citation statements)

References 56 publications

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“…The nodal force is used as the load input for the mechanical fracture calculation of other numerical methods, such as the FEM, DEM, DDA, and NMM . Thus, thermal cracking of the rock mass can be simulated.…”

Section: Thermo‐mechanical Couplingmentioning

confidence: 99%

“…The nodal force is used as the load input for the mechanical fracture calculation of other numerical methods, such as the FEM, DEM, DDA, 46,47 and NMM. [48][49][50] Thus, thermal cracking of the rock mass can be simulated. The effect of cracks caused by thermal cracking on the heat transfer is taken into account by multiplying the heat exchange coefficient of the broken joint element by a suitable reduction factor r T .…”

Section: Thermal Stress Calculationmentioning

confidence: 99%

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A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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Summary A simple three‐dimensional heat transfer model is developed to consider the hindering effect of cracks on heat transfer. The 3D heat transfer model can also be applied to numerical methods such as the combined finite‐discrete element method (FDEM), discrete element method (DEM), discontinuous deformation analysis (DDA), the numerical manifold method (NMM), and the finite element method (FEM) to construct thermo‐mechanical coupling models that allow these methods to solve thermal cracking problems and dynamically consider the hindering effect of cracks on heat transfer. In the 3D heat transfer model, the continuous‐discontinuous medium is discretized into independent tetrahedral elements, and joint elements are inserted between adjacent tetrahedral elements. Heat transfer calculations for continuous‐discontinuous media are converted to heat conduction in tetrahedral elements and the heat exchange between the adjacent tetrahedral elements through the joint element. If the joint element between adjacent tetrahedral elements breaks (ie, a crack generates), the heat exchange coefficient of the joint element is reduced to account for the hindering effect of cracks on heat conduction. Then the model and the FDEM are combined to build a thermo‐mechanical coupling model to simulate thermal cracking. The thermally induced deformation, stress, and cracking are investigated by the thermo‐mechanical coupling model, and the numerical results are compared with analytical solutions or experimental results. The 3D heat transfer model and thermo‐mechanical model can provide a powerful tool for simulating heat transfer and thermal cracking in a continuous‐discontinuous medium.

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Section: Thermo‐mechanical Couplingmentioning

confidence: 99%

Section: Thermal Stress Calculationmentioning

confidence: 99%

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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“…Stability analysis of a rock block is an important topic in the field of rock mechanics and rock engineering, the discontinuous numerical methods are usually used to solve this problem, and the block theory is the most frequently choice. Block theory was early proposed by Dr Shi in the 1970s, later in 1985, professor Goodman and Dr Shi wrote their first book, which heralded the formal formation of the block theory .…”

Section: Introductionmentioning

confidence: 99%

Seismic stability analysis of a rock block using the block theory and Newmark method

Sheng

Tang

et al. 2019

Num Anal Meth Geomechanics

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Summary Seismic stability analysis of a rock block is an important issue in the field of rock mechanics and rock engineering. To solve this problem, the block theory and the Newmark method are combined, and a general method for seismic response of a rock block is introduced. First, the formation method of a three‐dimensional rock block, which includes establishing a topological relationship among the block‐polygon face‐edge‐vertex and dividing a complex block into convex subblocks, is presented, and the simplex integration method is employed to calculate the volume of a rock block and the areas of the polygonal faces. Second, the assumptions and algorithms of the general method for seismic response of a rock block are detailed. The dynamic analysis is carried out in time step. In each time step, the key technologies including analysis of the seismic force and motion mode, trial of the incremental displacement, check for the block entrance, and update of the motion parameters are performed in order. Last, two verification examples and three application examples including a wedge, a rock block of slope, and a combined rock block are used to analyze the correctness and practicality of the general method. The results show that, for a given ground motion record, the Newmark program can effectively simulate the dynamic response process of the motion mode, velocity, and safety factor of the rock block, and the permanent displacement under the earthquake action is obtained, which provides a quantitative parameter to evaluate the dynamic stability of a rock block.

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“…Experimental studies of rock blasting are very expensive and time-consuming [16]. It has been shown that theoretical research and numerical simulation can serve as an efficient approach to reveal the crack propagation law in rock blasting [19][20][21][22]. In this research, the following topics are discussed by the methods of theoretical research and numerical simulation: (a) the influence of the pitch of holes on the crack propagation law, (b) the influence of the adjacent empty hole diameter on the crack propagation law, and (c) the effect of uncoupled medium on blasting load acting on blasting hole wall.…”

Section: Introductionmentioning

confidence: 99%

Effect of Adjacent Hole on the Blast‐Induced Stress Concentration in Rock Blasting

Yang

Shao

Jing

et al. 2018

Advances in Civil Engineering

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To investigate the effect of an adjacent hole on the blast-induced stress concentration in rock blasting, a rock blasting model with an adjacent hole is explored through theoretical analysis and numerical simulation. The commercial software LS-DYNA is utilized to simulate adjacent hole effect in rock blasting, in which the Johnson–Holmquist concrete material model is used to simulate rock and the high-explosive-burn-explosive and the equation of state of JWL are used to simulate explosive. Influences of the key parameters of adjacent hole effect in rock blasting, pitch of holes, adjacent hole diameter, and uncoupled medium in a blasting hole are extensively explored. According to the simulation results, when the explosion stress wave spreads to the adjacent hole wall, the tangential stress on the adjacent hole wall induced by the explosion stress wave is always greater than the radial stress. Adjacent hole diameter has a major effect on stress concentration, but with the adjacent hole diameter increasing, the stress concentration phenomenon weakens and the free surface effect of the adjacent hole plays a more important role.

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Micro-mechanical modeling of the macro-mechanical response and fracture behavior of rock using the numerical manifold method

Cited by 182 publications

References 56 publications

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Seismic stability analysis of a rock block using the block theory and Newmark method

Effect of Adjacent Hole on the Blast‐Induced Stress Concentration in Rock Blasting

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