An improved SPH method for simulating crack propagation and coalescence in rocks with pre-existing cracks

Mu, Dianrui; Qu, Haigang; Zeng, Yusheng; Tang, Aiping

doi:10.1016/j.engfracmech.2023.109148

Cited by 8 publications

(4 citation statements)

References 71 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Section: Methodsmentioning

confidence: 99%

“…It has been widely used to solve extreme deformation and failure types such as explosion simulation, 36,37 high-speed collision, 38,39 penetration calculation, 23,39,40 and brittle fracture. 24,41 Unlike the finite element method, a kernel approximation is used in SPH based on randomly distributed interpolation points, and the points are neighbors to calculate spatial derivatives. Considering a problem domain Ω discretized by a set of particles by collection of particles, and assuming kernel function W has a compact supporting domain with a radius of h. The approximation f(x) and its discretized differential form ∇f(x) at point i can be respectively expressed as 42 :…”

Section: Theory Of Sphmentioning

confidence: 99%

“…Gharehdash et al 23 developed a dual-support smoothed particle hydrodynamics (DS-SPH) method developed to quantify explosion-generated crack densities within granitic rock masses in field-scale computational domains. Mu et al 24 , 25 captured the brittle fracture characteristics of materials by improving the kernel function of the SPH method for simulating crack extension in brittle fracture of rock materials.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

2023

View full text Add to dashboard Cite

To investigate the real physical mechanism of rock fragmentation subjected to water jet under in-situ stress condition, a numerical model based on the SPH algorithm was established using the rate-dependent constitutive model to simulate the rock-breaking process. First, the damage evolution law of rock impacted by high-pressure water jet under in-situ stress conditions was studied by analyzing the distribution characteristics of the damage field in the dynamic process of water jet impinging. The results showed that the damage field, widths of surface damage, maximum widths of damage and mean depths of damage of rock decreased with the increase of in-situ stress, indicating that the existence of initial in-situ stress had a strong inhibitory effect on rock fragmentation. The attenuation of the maximum widths of damage could be divided into two stages. The mean depths of damage of rock played a leading role in the number of damage elements. Furthermore, on this basis, the real physical mechanism of rock fragmentation subjected to water jet under in-situ stress condition was revealed by analyzing the stress states and damage history variables of the particles in the selected five typical regions. The study showed that the failure type of the upper rock elements in the crushing zone was brittle failure caused by a combination of compressive stress and shear stress with or without in-situ stress. However, the failure mechanisms of rock elements in crack zone were completely different with or without in-situ stress. In the absence of in-situ stress, the failure type of rock impacted by water jet was the coexistence of damage caused by compressive-shear stress and tensile stress, while in the presence of in-situ stress, the failure type of rock impacted by water jet was mainly the damage caused by compressive-shear stress.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Theory Of Sphmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

2023

View full text Add to dashboard Cite

show abstract

“…Smoothed particle hydrodynamics (SPH) is a grid-free numerical calculation method proposed by Lucy (1977) and Ginold and Monaghan (1977), and is mainly used in the field of astrophysics. With the development of meshless numerical methods, SPH has been widely used in the fields of fluid flow (Ren et al 2022a, b), mechanical and hydraulic behavior (Gharehdash 2018;Gharehdash et al 2019), two-phase coupling (Sun 2016;Yu et al 2021;Mu 2022a;Yu et al 2022) and crack propagation (Chakraborty and Shaw 2013;Sun et al 2014;Islam and Peng 2019;Gharehdash et al 2020;Gharehdash et al 2021;Mu et al 2022b, c;Mu et al 2023;Yu et al 2023a, b). In recent years, researchers have gradually applied the SPH method to the field of gas seepage, obtaineding satisfactory numerical results.…”

Section: Introductionmentioning

confidence: 99%

A gas-mechanical-damage coupling model based on TLF-SPH method to simulate gas seepage in fractured coal

Mu,

Zhang,

Liu

et al. 2023

Preprint

Self Cite

View full text Add to dashboard Cite

The coupled calculation of gas seepage in fractured coal is always the focus and difficulty of computational mechanics. Therefore, combined with the phase field theory, the gas seepage model of fractured coal is developed under the framework of smoothed particle hydrodynamics (SPH). The accuracy of the seepage model based on partial differential equation (PDE) with constant coefficient is verified by a reference example, and the simulation results agree well with the analytical solutions. Meanwhile, the seepage characteristics of gas in homogeneous coal based on PDE with constant and variable coefficients are analyzed, respectively, with their numerical errors compared. Then, based on the gas seepage model of fractured coal, the effects of heterogeneity, defect opening and inclination on gas seepage in coal are studied, respectively. In addition, considering the influence of coal deformation and pre-existing defects on gas seepage, a gas-mechanical-damage coupling model for gas seepage simulation of fractured coal is proposed by using SPH method with total Lagrange formula (TLF-SPH). Subsequently, the permeability evolution and gas seepage characteristics of borehole surrounding rock under different conditions (such as overburden load, extraction pressure, borehole radius and initial gas pressure) are investigated, revealing the seepage-mechanical coupling mechanism of fractured coal during gas extraction. This work provides important theoretical support for mine gas extraction and gas outburstdisaster prevention technology.

show abstract

A coupled hydro-thermo-mechanical model based on TLF-SPH for simulating crack propagation in fractured rock mass

Mu,

Zhang,

et al. 2024

Geomech. Geophys. Geo-energ. Geo-resour.

View full text Add to dashboard Cite

In this paper, a hydro-thermo-mechanical coupling model based on the smoothed particle hydrodynamics with total Lagrangian formula (HTM-TLF-SPH) is proposed to simulate the crack propagation and instability process of fractured rock mass. TLF-SPH uses the Lagrangian kernel approximation, that is, the kernel function and its gradient need only be calculated once in the initial configuration, which is much more efficient than the smoothed particle hydrodynamics (SPH) based on the Euler kernel approximation. In TLF-SPH, particles interact with each other through virtual link, and the crack propagation path of rock mass is tracked dynamically by capturing the fracture of virtual link. Firstly, the accuracy and robustness of the HTM-TLF-SPH coupling model are verified by a reference example of drilling cold shock, and the simulation results agree well with the analytical solutions. Then, the crack propagation law of surrounding rock and the evolution characteristics of physical fields (displacement, seepage and temperature fields) after excavation and unloading of deep roadway under the coupling condition of hydro-thermo-mechanical are investigated. In addition, the seepage and heat transfer processes of the surrounding rock of Daqiang coal mine under different coupling conditions are successfully simulated. Meanwhile, the effect of the boundary water pressure difference on the temperature and seepage fields under the hydro-thermal coupling condition is quantitatively analyzed.

show abstract

An improved SPH method for simulating crack propagation and coalescence in rocks with pre-existing cracks

Cited by 8 publications

References 71 publications

Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

Damage evolution law and failure mechanism of rock impacted by high-pressure water jet under in-situ stress condition

A gas-mechanical-damage coupling model based on TLF-SPH method to simulate gas seepage in fractured coal

A coupled hydro-thermo-mechanical model based on TLF-SPH for simulating crack propagation in fractured rock mass

Contact Info

Product

Resources

About