A bond-based smoothed particle hydrodynamics considering frictional contact effect for simulating rock fracture

Mu, Dianrui; Tang, Aiping; Li, Zhiming; Qu, Haigang; Huang, Delong

doi:10.1007/s11440-022-01569-7

Cited by 12 publications

(5 citation statements)

References 68 publications

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“… Virtual link fracture and crack propagation in the immediate neighborhood, adapted from Refs. [ 50 , 51 ]. …”

Section: Figurementioning

confidence: 99%

An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

Tang

et al. 2023

Materials

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A seepage model based on smoothed particle hydrodynamics (SPH) was developed for the seepage simulation of pore water in porous rock mass media. Then, the effectiveness of the seepage model was proved by a two-dimensional seepage benchmark example. Under the framework of SPH based on the total Lagrangian formula, an extended hydro-mechanical coupling model (EHM-TLF-SPH) was proposed to simulate the crack propagation and coalescence process of rock samples with prefabricated flaws under hydraulic and compressive loads. In the SPH program, the Lagrangian kernel was used to approximate the equations of motion of particles. Then, the influence of flaw water pressure on crack propagation and coalescence models of rock samples with single or two parallel prefabricated flaws was studied by two numerical examples. The simulation results agreed well with the test results, verifying the validity and accuracy of the EHM-TLF-SPH model. The results showed that with the increase in flaw water pressure, the crack initiation angle and stress of the wing crack decreased gradually. The crack initiation location of the wing crack moved to the prefabricated flaw tip, while the crack initiation location of the shear crack was far away from the prefabricated flaw tip. In addition, the influence of the permeability coefficient and flaw water pressure on the osmotic pressure was also investigated, which revealed the fracturing mechanism of hydraulic cracking engineering.

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“… Virtual link fracture and crack propagation in the immediate neighborhood, adapted from Refs. [ 50 , 51 ]. …”

Section: Figurementioning

confidence: 99%

An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

Tang

et al. 2023

Materials

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“…A subset of these applications worthy of mention include slope failures, [23][24][25][26] debris flows, [27][28][29][30] granular flows, [31][32][33][34] and fault and fracture propagation. [35][36][37][38] To accurately model the strong coupling between pore fluid and the solid skeleton of soil or other geomaterials, a number of different formulations based on two distinct approaches have been proposed in SPH. In the multi-layer particle approach, each distinct phase is represented by its own set of particles, with the governing equations solved separately at each set of particles (phase).…”

Section: Introductionmentioning

confidence: 99%

An SPH framework for drained and undrained loading over large deformations

del Castillo,

Fávero Neto,

Geng

et al. 2024

Num Anal Meth Geomechanics

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We propose a new approach for performing drained and undrained loading of elastoplastic geomaterials over large deformations using smoothed particle hydrodynamics (SPH), a meshfree continuum particle method, combined with the modified Cam Clay (MCC) model of critical state soil mechanics. The numerical approach draws upon a novel one‐particle two‐phase penalty‐method based formulation for handling undrained loading in saturated soils, which allows tracking of the buildup of pore‐water pressures under combined shearing and compression. Large‐scale parallelized simulations are employed to accommodate a significant number of degrees of freedom in a three‐dimensional setting. After verification and benchmark testing, the SPH based formulation is used to analyze the propagation of reverse faults through fluid‐saturated clay deposits and the rupture of strike‐slip faults across earthen embankments. The computational methodology tests the robustness of the meshfree approach in situations where the soil tends to dilate on the ‘dry’ side of the critical state line and to compact on the ‘wet’ side, but cannot, because of the incompressibility constraint imposed by undrained loading. Our results extend the current understanding of fault rupture modeling and further demonstrate the potential of our framework together with the SPH method for large deformation analyses of complex problems in geotechnics.

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“…Several friction contact methods allowing arbitrary wall friction angle were proposed for SPH simulations in the past. [44][45][46][47][48] Among them, the hybrid contact method 47,49,50 combines the convenience of point-to-point contact and the accuracy of point-to-segment contact, and is suitable for problems with arbitrary geometry. In this work, it is combined with the regularized SPH model to solve large deformation soil-structure problems.…”

Section: Introductionmentioning

confidence: 99%

“…The boundary particle method is unable to consider different friction angle; thus, its application is limited for complex soil–structure interaction problems. Several friction contact methods allowing arbitrary wall friction angle were proposed for SPH simulations in the past 44–48 . Among them, the hybrid contact method 47,49,50 combines the convenience of point‐to‐point contact and the accuracy of point‐to‐segment contact, and is suitable for problems with arbitrary geometry.…”

Section: Introductionmentioning

confidence: 99%

Regularized SPH model for soil–structure interaction with generalized frictional boundary

Wang¹,

Wu²,

Peng

2023

Num Anal Meth Geomechanics

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This paper proposes a regularized smoothed particle hydrodynamics (SPH) scheme to solve the problems of tensile instability and stress noise in largedeformation soil-structure interaction. Particle shifting and stress regularization are combined to maintain uniform stresses and particle distributions. A generalized frictional boundary condition is presented to model soil-structure interfaces with abitrary friction coefficients. A modified particle shifting technique is developed to regularize particles near the frictional boundaries. Furthermore, GPU acceleration algorithm is adopted to improve the efficiency. The proposed scheme is compared with the conventional SPH methods using numerical examples, including the collapse of three-dimensional granular column, the collapse of the cohesive soil, and pipe penetrates into soft clay. The comparison indicates that the proposed regularized SPH model can give highly accurate results for large-deformation soil-structure interaction problems with arbitrary friction coefficient.

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A bond-based smoothed particle hydrodynamics considering frictional contact effect for simulating rock fracture

Cited by 12 publications

References 68 publications

An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

An Extended Hydro-Mechanical Coupling Model Based on Smoothed Particle Hydrodynamics for Simulating Crack Propagation in Rocks under Hydraulic and Compressive Loads

An SPH framework for drained and undrained loading over large deformations

Regularized SPH model for soil–structure interaction with generalized frictional boundary

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