Simulation of fracture propagation subjected to compressive and shear stress field using virtual multidimensional internal bonds

Zhang, Zhennan; Yongquan, Chen

doi:10.1016/j.ijrmms.2009.01.003

Cited by 22 publications

(7 citation statements)

References 25 publications

(28 reference statements)

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“…The critical compressive strain is taken as ε c = 2.486×10 −3 . The FEM mesh is refined in the middle part of the specimen, as shown in Figure 13, with a notch represented by three-noded-contact elements [40]. The simulation is conducted with elements of different sizes in the middle part of the specimen.…”

Section: Tensile Fracture Propagationmentioning

confidence: 99%

Simulating fracture propagation in rock and concrete by an augmented virtual internal bond method

Zhang

Gao

2011

Num Anal Meth Geomechanics

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SUMMARYThis paper develops a practical approach to simulating fracture propagation in rock and concrete based on an augmented virtual internal bond (VIB) method in which the cohesion of solid is modeled as material particles interconnected by a network of randomized virtual micro bonds described by the XuNeedleman potential. The micro bond potential is used to derive macroscale constitutive relations via the Cauchy-Born rule. By incorporating different energy contributions due to stretch and shearing, as well as different energy levels under tension and compression of each micro bond, the derived macro constitutive laws are particularly useful for modeling quasi-brittle materials such as rock and concrete which usually have different Poisson ratios and much higher compressive strength than tensile strength. The mesh-size sensitivity associated with strain-softening in the present constitutive model is addressed by adjusting material constants near the crack tip so that the J-integral is kept equal to the intrinsic fracture energy of the material. Numerical examples demonstrate that the proposed VIB method is capable of simulating mixed mode fracture propagation in rock and concrete with results in consistency with relevant experimental observations.

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Section: Tensile Fracture Propagationmentioning

confidence: 99%

Simulating fracture propagation in rock and concrete by an augmented virtual internal bond method

Zhang

Gao

2011

Num Anal Meth Geomechanics

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“…To investigate a more straightforward method for fracture simulation, Zhang and Chen 10,11 developed a preliminary element partition method (EPM) to simulate fractures. This method allows a fracture to propagate across an element, but it does not introduce any additional degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

“…As a fracture modeling approach, EPM 10,11 enables a crack to propagate across an element directly, which avoids the remeshing problem. As shown in Figure 1, when an element is cut through by a crack, this element is partitioned into three subelements, namely, one subjoint element and two subbulk elements.…”

Section: Introduction To Epmmentioning

confidence: 99%

Numerical simulation of particle plugging in hydraulic fracture by element partition method

Wang

Xin-yong

Zhao

et al. 2020

Num Anal Meth Geomechanics

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Summary Hydraulic fracturing (HF) treatment often involves particle migration and is applied for propping or plugging fractures. Particle migration behaviors, e.g., bridging, packing, and plugging, significantly affect the HF process. Hence, it is crucial to effectively simulate particle migration. In this study, a new numerical approach is developed based on a coupled element partition method (EPM). The EPM is used to model natural and hydraulic fractures, in which a fracture is allowed to propagate across an element, thereby avoiding remeshing in fracture simulations. To characterize the water flow process in a fracture, a fully hydromechanical coupled equation is adopted in the EPM. To model particle transportation in fractures with water flow, each particle is treated as a discrete element. The particles move in the fracture as a result of being dragged by fluid. Their movement, contact, and packing behaviors are simulated using the discrete element method. To reflect the plugging effect, an equivalent aperture approach is proposed. Using this method, the particle migration and its effect on water flow are well simulated. The simulation results show that this method can effectively reproduce particle bridging, plugging, and unblocking in a hydraulic fracture. Furthermore, it is demonstrated that particle plugging significantly affects water flow in a fracture and hence the propagation of hydraulic fracture. This method provides a simple and feasible approach for the simulation of particle migration in a hydraulic fracture.

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“…Tian et al (2015) indicated that the shear behavior of cemented concrete-rock joints is a key factor affecting the shear resistance of dam foundations, arch bridge foundations, rock socketed piles and rock bolts in rock engineering [3]. Numerous studies using laboratory experiments and numerical analyses have been studied to help understand the performance of the concrete-rock structure such as drilled piers socketed into rock, rock anchors, and dam foundations [4,5,6,7,8]. Many research works focused on the application of concrete-rock in the construction of dam foundations while only a few examples of the concrete-rock structure is on tunneling construction.…”

Section: Introductionmentioning

confidence: 99%

Preliminary Evaluation of Concrete-Rock Interface Behavior Under the Action of Freeze-Thaw Cycles

Chivens

Floyd

et al. 2019

E3S Web Conf.

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The most common source of failure for tunnellining occurs at the excavated surface due to a high frequency of freeze-thaw cycles and cold weather that significantly drop the strength of the interface between the rock and the concrete. A preliminary experiment was conducted to confront the problems associated with cold weather effect on concrete and the adhering connection between the concrete and the excavated rock surface. A series of composite specimens made of sandstone rocks and concrete with the three types of surfaces (smooth, semi-rough, and rough) were prepared in the Materials Laboratory of Northern Arizona University. All specimens were undertaken up to 180 Freeze-thaw cycles using an ASTM C666 apparatus with modifications on molds and dimensions of specimens. Tensile splitting tests of the interface between concrete and three types of rock surfaces were performed with respect to the bonding strength. The purpose of the research was to (1) evaluate the effect of freezing and thawing cycles on the bonding strength/interface behavior of the composite specimens and (2) to determine the rate at which adhesion strength is lost when undergoing cold weather environment. Based on the test results, the concrete-rock specimens prepared with rough surface show higher bonding strength than the other two surface treated specimens (smooth and semi-rough surface treatments).

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Simulation of fracture propagation subjected to compressive and shear stress field using virtual multidimensional internal bonds

Cited by 22 publications

References 25 publications

Simulating fracture propagation in rock and concrete by an augmented virtual internal bond method

Simulating fracture propagation in rock and concrete by an augmented virtual internal bond method

Numerical simulation of particle plugging in hydraulic fracture by element partition method

Preliminary Evaluation of Concrete-Rock Interface Behavior Under the Action of Freeze-Thaw Cycles

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