Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks

Zhou, Xiaoping; Gu, Xin-Bao; Wang, Yunteng

doi:10.1016/j.ijrmms.2015.09.006

Cited by 71 publications

(20 citation statements)

References 36 publications

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“…22shows no cracks initiation from the tips of the flaws 1 -6 . The reason is the stress shielding and amplification effects due to the interaction of the flawsZhou et al (2015).…”

mentioning

confidence: 99%

Phase field modelling of crack propagation, branching and coalescence in rocks

Zhou

Zhuang

Zhu

et al. 2018

Theoretical and Applied Fracture Mechanics

301

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We present a phase field model (PFM) for simulating complex crack patterns including crack propagation, branching and coalescence in rock. The phase field model is implemented in COMSOL and is based on the strain decomposition for the elastic energy, which drives the evolution of the phase field. Then, numerical simulations of notched semi-circular bend (NSCB) tests and Brazil splitting tests are performed. Subsequently, crack propagation and coalescence in rock plates with multiple echelon flaws and twenty parallel flaws are studied. Finally, complex crack patterns are presented for a plate subjected to increasing internal pressure, the (3D) Pertersson beam and a 3D NSCB test. All results are in good agreement with previous experimental and numerical results.

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“…22shows no cracks initiation from the tips of the flaws 1 -6 . The reason is the stress shielding and amplification effects due to the interaction of the flawsZhou et al (2015).…”

mentioning

confidence: 99%

Phase field modelling of crack propagation, branching and coalescence in rocks

Zhou

Zhuang

Zhu

et al. 2018

Theoretical and Applied Fracture Mechanics

301

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“…The problem of soil fragmentation under explosive loads was simulated using a PD/SPH coupling approach in [75,76]. Moreover, the PD theory has been implemented to investigate crack behavior in rock materials [193,194,245].…”

Section: Geomechanicsmentioning

confidence: 99%

Peridynamics review

Javili

Morasata

Öterkuş

et al. 2018

Mathematics and Mechanics of Solids

248

109

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Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in 2000. The roots of PD can be traced back to the early works of Gabrio Piola according to dell’Isola et al. PD has been attractive to researchers as it is a non-local formulation in an integral form, unlike the local differential form of classical continuum mechanics. Although the method is still in its infancy, the literature on PD is fairly rich and extensive. The prolific growth in PD applications has led to a tremendous number of contributions in various disciplines. This manuscript aims to provide a concise description of the PD theory together with a review of its major applications and related studies in different fields to date. Moreover, we succinctly highlight some lines of research that are yet to be investigated.

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“…At the same time, they coalesce with the preexisting flaw ① and flaw ②, and the final failure of the rock specimen occurs, as shown in Figure (1.E). In addition, no cracks are initiated from the upper tips of flaw ① and flaw ② due to the shielding effect between the cross‐flaws …”

Section: Cracking Patterns In Rock With An Interlayermentioning

confidence: 99%

“…In addition, no cracks are initiated from the upper tips of flaw ① and flaw ② due to the shielding effect between the cross-flaws. 62 Figure 10(2) shows the crack initiation and propagation process in specimen C2-3 with a cross-flaw. It is found from Figure 10 that, the new cracks initiated from the lower tip of flaw ② and the upper tip of flaw ① propagate towards the left and right edges of the specimen, respectively, until the complete failure of the rock specimen occurs, as shown in Figure 10(2.B) and (2.C).…”

Section: Cross-flaw In the Interlayer With Different Mechanical Promentioning

confidence: 99%

Simulation of cracking behaviours in interlayered rocks with flaws subjected to tension using a phase‐field method

Zhou

Jia

Berto

2019

Fatigue Fract Eng Mat Struct

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A phase‐field method (PFM) is used to investigate cracking behaviours, including crack initiation and propagation, in interlayered rocks with preexisting flaws subjected to tension. An example with a bi‐material plate with a centre flaw is used to validate the PFM. Then, numerical simulations of cracking behaviours in interlayered rocks with a single flaw and a cross‐flaw are carried out using PFM. Moreover, the load‐displacement responses are numerically investigated. The PFM numerical results show that the crack propagation trajectories and peak loads of rock specimens depend on the preexisting flaw configuration and the mechanical properties of the interlayers.

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Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks

Cited by 71 publications

References 36 publications

Phase field modelling of crack propagation, branching and coalescence in rocks

Phase field modelling of crack propagation, branching and coalescence in rocks

Peridynamics review

Simulation of cracking behaviours in interlayered rocks with flaws subjected to tension using a phase‐field method

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