Numerical simulation of compressive failure of heterogeneous rock-like materials using SPH method

Ma, Guowei; Wang, X.J.; Ren, Fangfang

doi:10.1016/j.ijrmms.2011.02.001

Cited by 114 publications

(32 citation statements)

References 33 publications

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“…This just demonstrates that the heterogeneity is an important factor influencing the strain rate effect, as mentioned in other works (Ma et al , 2011). This conclusion is also consistent with the experimental results, which show that the poor quality specimen had a larger increase in dynamic strength .…”

Section: Effects Of Heterogeneitysupporting

confidence: 80%

Numerical Simulation of the Rock SHPB Test with a Special Shape Striker Based on the Discrete Element Method

2013

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A split Hopkinson pressure bar (SHPB) system with a special shape striker has been suggested as the test method by the International Society for Rock Mechanics (ISRM) to determine the dynamic characteristics of rock materials. In order to further verify this testing technique and microscopically reveal the dynamic responses of specimens in SHPB tests, a numerical SHPB test system was established based on particle flow code (PFC). Numerical dynamic tests under different impact velocities were conducted. Investigation of the stresses at the ends of a specimen showed that the specimen could reach stress equilibrium after several wave reverberations, and this balance could be maintained well for a certain time period after the peak stress. In addition, analyses of the reflected waves showed that there was a clear relationship between the variation of the reflected wave and the stress equilibrium state in the specimen, and the turning point of the reflected wave corresponded well with the peak stress in the specimen. Furthermore, the reflected waves can be classified into three types according to their patterns. Under certain impact velocities, the specimen deforms at a constant strain rate during the whole loading process. Finally, the influence of the micro-strength ratio (s c =r c ) and distribution pattern on the dynamic increase factor (DIF) of the strength DIF were studied, and the lateral inertia confinement and heterogeneity were found to be two important factors causing the strain rate effect for rock materials.Keywords SHPB Á Special shape striker Á Discrete element method Á Strain rate effect Micro-strength ratio (ratio of contact-bond shear to normal strength) n Time-step N Current time-step DTðnÞ Interval time under time-step n(s) l Frictional coefficient at the specimen/bar interface

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Section: Effects Of Heterogeneitysupporting

confidence: 80%

Numerical Simulation of the Rock SHPB Test with a Special Shape Striker Based on the Discrete Element Method

2013

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“…The parallel RVEbased modeling tool in this paper can provide an alternative way to investigate the complicated failure mechanisms of rock. Rock heterogeneity at micro or meso scales is attributed to the presence of pores, microdamages, grains, and minerals, etc., which strongly influences the macroscopic failure characteristics and is one of the root causes of the complex mechanical behaviors of rock (Xie et al 1997;Bahat et al 2001;Xu et al 2005;Ma et al 2011). For example, even under the simplest one-dimensional (1D) loading, i.e., unconfined uniaxial compression, rock exhibits very complex failure characteristics at macroscopic scale, as shown in Fig.…”

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confidence: 99%

Morphologic Interpretation of Rock Failure Mechanisms Under Uniaxial Compression Based on 3D Multiscale High-resolution Numerical Modeling

Liang

Tang

2014

Rock Mech Rock Eng

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Multiscale continuous laboratory observation of the progressive failure process has become a powerful means to reveal the complex failure mechanism of rock. Correspondingly, the representative volume element (RVE)-based models, which are capable of micro/meso-to macro-scale simulations, have been proposed, for instance, the rock failure process analysis (RFPA) program. Limited by the computational bottleneck due to the RVE size, multiscale high-resolution modeling of rock failure process can hardly be implemented, especially for three-dimensional (3D) problems. In this paper, the self-developed parallel RFPA 3D code is employed to investigate the failure mechanisms and various fracture morphology of laboratory-scale rectangular prism rock specimens under unconfined uniaxial compression. The specimens consist of either heterogeneous rock with low strength or relatively homogeneous rock with high strength. The numerical simulations, such as the macroscopic fracture pattern and stressstrain responses, can reproduce the well-known phenomena of physical experiments. In particular, the 3D multiscale continuum modeling is carried out to gain new insight into the morphologic interpretation of brittle failure mechanisms, which is calibrated and validated by comparing the actual laboratory experiments and field evidence. The advantages of 3D multiscale high-resolution modeling are demonstrated by comparing the failure modes against 2D numerical predictions by other models. The parallel RVEbased modeling tool in this paper can provide an alternative way to investigate the complicated failure mechanisms of rock.

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“…Many models have been developed in the field of computational fracture mechanics, such as linear and nonlinear elastic fracture mechanics based methods (Bittencourt et al, 1996;Ingraffea and Manu, 1980;Swenson and Ingraffea, 1988), the extended finite element method (XFEM) (Belytschko and Black, 1999;Karihaloo and Xiao, 2003;Melenk and Babuška, 1996;Sukumar and Prévost, 2003), the cohesive-zone model (Bocca et al, 1991;de Borst, 2003) and meshless methods, such as the element free Galerkin method (EFGM) (Bordas et al, 2008;Fleming et al, 1997). Moreover, discontinuumbased numerical methods that are originally used for granular materials, such as the smoothed particle hydrodynamics (SPH) method (Das and Cleary, 2010;Gray et al, 2001;Ma et al, 2011) and the discrete element method (DEM) (Cundall and Strack, 1979;Morris et al, 2004;Shi and Goodman, 1985) have also become increasingly popular in fracture modelling. In actual numerical simulations of engineering applications, the choice of modelling approach should be based on the likely failure mechanism of the material, i.e.…”

Section: Methodsmentioning

confidence: 99%

A numerical study of fracture spacing and through-going fracture formation in layered rocks

Guo

Latham

Xiang

2017

International Journal of Solids and Structures

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Naturally fractured reservoirs are an important source of hydrocarbons.Computational models capable of generating fracture geometries according to geomechanical principles offer a means to create a numerical representation of a more realistic rock mass structure. In this work, the combined finite-discrete element method is applied to investigate fracture patterns in layered rocks. First, a three-layer model undergoing layer normal compression is simulated with the aim of examining the controls on fracture spacing in layered rocks. Second, a seven-layer model with low competence contrast is modelled under direct tension parallel to the layering and bending conditions with the focus on investigating through-going fracture formation across layer interfaces. The numerical results give an insight into the understanding of various mechanisms that contribute to fracture pattern development in layered rocks.

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Numerical simulation of compressive failure of heterogeneous rock-like materials using SPH method

Cited by 114 publications

References 33 publications

Numerical Simulation of the Rock SHPB Test with a Special Shape Striker Based on the Discrete Element Method

Numerical Simulation of the Rock SHPB Test with a Special Shape Striker Based on the Discrete Element Method

Morphologic Interpretation of Rock Failure Mechanisms Under Uniaxial Compression Based on 3D Multiscale High-resolution Numerical Modeling

A numerical study of fracture spacing and through-going fracture formation in layered rocks

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