A field-enriched finite element method for brittle fracture in rocks subjected to mixed mode loading

Zhou, Xiaoping; Jia, Z. H.; Wang, Long-Fei

doi:10.1016/j.enganabound.2021.04.023

Cited by 31 publications

(7 citation statements)

References 48 publications

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“…For the numerical simulation of fractured rock masses, many researchers use peri-dynamics and related methods to determine microscopic parameters and use general particle dynamics and field enrichment finite element methods to explore scale effects (Zhou et al, 2014;Zhou et al, 2015;Bi et al, 2016;Wang et al, 2016;Wang et al, 2018b;Zhou et al, 2018;Zhou et al, 2019;Zhang and Zhou, 2020;Wang and Zhou, 2021;Zhou et al, 2021).…”

Section: Comparison and Validation Of Simulation Resultsmentioning

confidence: 99%

Numerical simulation of creep fracture evolution in fractured rock masses

et al. 2022

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The initiation, expansion, and penetration of microscopic cracks in rock is the macroscopic manifestation of creep. This paper investigates mechanical creep characteristics and fracture evolution processes in rock masses with different fracture angles, lengths, and rock bridge dip angles. Single fractures, dual parallel fractures, and fracture groups are considered. The approach comprises discrete element simulation based on continuum mechanics, utilizing the continuous and discontinuous software, GDEM. Single-fracture rock masses are characterized by a progressive fracture development mode dominated by tensile shear failure. The rate of creep and fracture magnitude both increase according to fracture length. With increasing fracture inclination angle, creep rate and fracture magnitude increase and decrease. The creep rate and degree of rupture are highest for fractures inclined at 30°. The dual-fracture rock mass exhibits both tensile crack failure and compressional shear failure. Creep rates are highest, and rupture effects are most apparent at rock bridge inclination angles of 90°. If the rock bridge is too long or too short, the stable creep stage is prolonged, but the creep acceleration stage intensifies due to interaction between fracture-bounded rock masses. The failure mode, in this case, involves collective failure by tension fractures and compressional shear. Creep rate and fracture magnitude increase with the number of fractures, which accelerates rock mass deformation to a certain extent. However, when the number of fractures reaches a certain threshold, a relatively stable structure may become established, slowing down the creep rate, especially during the creep acceleration stage. This study can provide a theoretical basis and reference for investigating the creep rupture law of rock mass engineering and the prevention and control of fractured rock mass geological disasters.

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Section: Comparison and Validation Of Simulation Resultsmentioning

confidence: 99%

Numerical simulation of creep fracture evolution in fractured rock masses

et al. 2022

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“…The diagram of the numerical model and crack propagation pattern. (A) The numerical model, (B) the extended finite element method (XFEM) result, 25 (C) the field‐enriched finite element method (FE‐FEM) result 52 [Colour figure can be viewed at wileyonlinelibrary.com]…”

Section: Numerical Experimentsmentioning

confidence: 99%

“…The XFEM 25 and field‐enriched finite element method (FE‐FEM) 52 results are shown in Figure 9B,C. In the traditional XFEM method, the cracks do not coalesce or branch due to its theoretical foundation, as shown in Figure 9B.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Advanced general particle dynamics with nonlocal foundation for fracture analysis

Zhou

Yao

Berto

2022

Fatigue Fract Eng Mat Struct

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The general particle dynamics (GPD), which is based on the kernel approximation method and Navier–Stokes equation, was developed from smoothed‐particle hydrodynamics to simulate the fracture behaviors by using the collective of damage variable to describe the damage evolution behaviors. In this paper, an advanced GPD with a nonlocal foundation is proposed for better description of the solid mechanics. The nonlocal vector calculus and microscopic constitutive model are employed to derive the governing equations in the proposed theory. The novel GPD with a nonlocal core is a generalization, which permits the inclusion of the microscopic constitutive model and the multi‐scale modeling compared with the previous GPD. To accomplish this generalization, the relationship between GPD and the previous kernel‐based theory is established. The novel GPD is superior in the fracture problems and multi‐scale modeling. Some numerical experiments are launched to verify the ability of the novel GPD.

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“…They can simulate the yield, plastic flow, softening, and large deformation of materials, especially in the field of elastic-plastic analysis, large deformation analysis, and simulation of the construction process. Peridynamics (PD) (Wang et al, 2016;Wang et al 2017;Wang et al, 2018), field enriched finite element method (Zhou et al, 2021), and general particle dynamics (GPD) (Zhou et al, 2015;Bi et al, 2016) can simulate the initiation, propagation, and coalescence of microcracks as well as formation of macro-scale cracks. Particle flow code (PFC) (Potyondy and Cundall, 2014) is one discrete element method, and it can simulate rock macro mechanical behavior by analyzing the movement and interaction of particles.…”

Section: Building Of Microstructure Numerical Modelmentioning

confidence: 99%

Microsimulation Study on Energy Release and Rock Block Ejection Force of Granite under Different Unloading Conditions

Wang

Yin²,

Xing³

et al. 2022

Front. Earth Sci.

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Rock burst is one typical dynamic disaster caused by excavation in deep underground engineering. High-stress unloading test is a common research method for rock bursts. Due to the limitation of laboratory test conditions, it is difficult to monitor the energy release and dissipation information during rock bursts in the unloading test. But the study of energy evolution law is more helpful to reveal the essential characteristics of rock burst. Therefore, the energy evolution process and ejection failure characteristics of granite after unloading were analyzed through the unloading simulation test in this paper, and the influence of unloading velocity, lateral stress, and axial stress were researched. The microstructure numerical model of the granite was established by using digital image processing technology and PFC2D software, aiming to match the real granite. The energy evolution process of unloading granite can be divided into three stages, namely the whole energy rapid release stage, sidewall energy slow-release stage, and rock block ejection stage. The area near the unloading sidewall is the main energy release and rock block ejection area. In the whole energy rapid release stage, the energy release velocity and dissipation velocity show similar law, i.e., a positive power function correlation with unloading velocity, a negative power function correlation with lateral stress, and a positive linear function correlation with axial stress. In the rock block ejection stage, with increasing the unloading velocity and axial stress, the rock block ejection force increases as a power function, while it decreases with increasing lateral stress. This research is an important supplement to the laboratory unloading test. It has theoretical guiding significance for rock burst hazard assessment during excavation in deep underground engineering.

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A field-enriched finite element method for brittle fracture in rocks subjected to mixed mode loading

Cited by 31 publications

References 48 publications

Numerical simulation of creep fracture evolution in fractured rock masses

Numerical simulation of creep fracture evolution in fractured rock masses

Advanced general particle dynamics with nonlocal foundation for fracture analysis

Microsimulation Study on Energy Release and Rock Block Ejection Force of Granite under Different Unloading Conditions

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