Extended Rigid Body Spring Network method for the simulation of brittle rocks

Rasmussen, Leandro Lima; Farias, Márcio Muniz de; Assis, André Pacheco de

doi:10.1016/j.compgeo.2018.02.021

Cited by 40 publications

(19 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…At the microstructure level, the rock material is generally considered to be a combination of many discrete polygonal grains ( Figure 1 a). The Voronoi tessellation framework has been verified that naturally agrees with the granular meso- or micro-structure of rock materials [ 29 , 40 , 41 ]. It is mainly composed of the lattice element method and spring network methods [ 40 , 41 , 42 ].…”

Section: Numerical Modelingmentioning

confidence: 99%

“…The Voronoi tessellation framework has been verified that naturally agrees with the granular meso- or micro-structure of rock materials [ 29 , 40 , 41 ]. It is mainly composed of the lattice element method and spring network methods [ 40 , 41 , 42 ]. UDEC has an in-built, automatic generator of the Voronoi tessellation pattern, where a particular region in a model can be subdivided into randomly sized polygons.…”

Section: Numerical Modelingmentioning

confidence: 99%

“…This assemblage of distinct deformable polygons model is called the Voronoi model. The Voronoi model is made up of a set of lattice nodes that can be regularly and irregularly distributed along the domain [ 40 , 41 ]. Lattice nodes are connected with lattice elements, usually forming a Delaunay triangulation, and each triangle is circumscribed within a circle containing its three vertexes.…”

Section: Numerical Modelingmentioning

confidence: 99%

See 2 more Smart Citations

Investigation of Microcrack Propagation and Energy Evolution in Brittle Rocks Based on the Voronoi Model

Liu

Chen

et al. 2021

Materials

View full text Add to dashboard Cite

The cracking of rock mass under compression is the main factor causing structural failure. Therefore, it is very crucial to establish a rock damage evolution model to investigate the crack development process and reveal the failure and instability mechanism of rock under load. In this study, four different strength types of rock samples from hard to weak were selected, and the Voronoi method was used to perform and analyze uniaxial compression tests and the fracture process. The change characteristics of the number, angle, and length of cracks in the process of rock failure and instability were obtained. Three laws of crack development, damage evolution, and energy evolution were analyzed. The main conclusions are as follows. (1) The rock’s initial damage is mainly caused by tensile cracks, and the rapid growth of shear cracks after exceeding the damage threshold indicates that the rock is about to be a failure. The development of micro-cracks is mainly concentrated on the diagonal of the rock sample and gradually expands to the middle along the two ends of the diagonal. (2) The identification point of failure precursor information in Acoustic Emission (AE) can effectively provide a safety warning for the development of rock fracture. (3) The uniaxial compression damage constitutive equation of the rock sample with the crack length as the parameter is established, which can better reflect the damage evolution characteristics of the rock sample. (4) Tensile crack requires low energy consumption and energy dispersion is not concentrated. The damage is not apparent. Shear cracks are concentrated and consume a large amount of energy, resulting in strong damage and making it easy to form macro-cracks.

show abstract

Section: Numerical Modelingmentioning

confidence: 99%

Section: Numerical Modelingmentioning

confidence: 99%

Section: Numerical Modelingmentioning

confidence: 99%

See 1 more Smart Citation

Investigation of Microcrack Propagation and Energy Evolution in Brittle Rocks Based on the Voronoi Model

Liu

Chen

et al. 2021

Materials

View full text Add to dashboard Cite

show abstract

“…This complicates significantly the use of GBMs especially when the amount of experimental data is limited. Therefore, the proposed numerical modeling utilizes an improved Voronoi-based 2D RBSM (Bolander and Saito 1998;Gu et al 2013;Rasmussen et al 2018;Wang et al 2008), where a square domain was discretized into a set of Voronoi cells. In the model, the Voronoi cells represent rigid bodies which are interconnected by sets of zero-length springs.…”

Section: Numerical Interpretation and Validationmentioning

confidence: 99%

Catalogue of Radiation-Induced Damage of Rock Aggregates Identified by RBSM Analysis

Khmurovska

Štemberk

2021

ACT

View full text Add to dashboard Cite

This paper presents a catalogue of possible radiation-induced damage of rock aggregates, which was compiled using the relevant literature and confirmed numerically. The catalogue describes two common and six specific cases of rock aggregate damage. Additionally, the catalogue is supported by a validated numerical model, which is based on Rigid-Body Spring Model. The detailed numerical analysis and the result description of all the cases shown in the catalogue are presented in this paper. The main dependencies are also discussed and the related conclusions are drawn, of which the most important are that the damage of the rock can be delayed and increased rapidly after the delay; even a small amount (1%) of a highly expansive mineral leads to a significant reduction of mechanical properties of the rock; and a partial recovery of the elastic modulus of the rocks is possible even for significantly damaged rocks. It is believed that this paper will help to predict the radiation-induced degradation of rock aggregates as well as support the future development of related analytical models.

show abstract

“…Since both the geometrical and hydro-mechanical properties of a rock mass suffer size effects, the task of defining the REV ultimately means to determine the dimensions for which these effects vanish. Several studies have performed numerical mechanical experiments on fractured rock masses by incorporating DFNs in finite element models (Pouya and Ghoreychi, 2001;Yang et al, 2014;JianPing et al, 2015) and discrete methods (Min and Jing, 2003;Harthong et al, 2012;Rasmussen et al, 2018). When it comes to defining the size of the REV, a common methodology is to generate one DFN from the statistical characterization of field data and define the size for which the equivalent mechanical properties become stable.…”

Section: Introductionmentioning

confidence: 99%

General Statistics-Based Methodology for the Determination of the Geometrical and Mechanical Representative Elementary Volumes of Fractured Media

2021

View full text Add to dashboard Cite

The upscaling of mechanical properties of fractured media requires the definition of an appropriate size for the Representative Elementary Volume (REV). Because of the stochastic nature of the fracture networks, the REV size is not deterministic and should be defined based on the variability of the equivalent properties. This work presents a new general methodology to define the size of the REV for the geometrical and elastic moduli of fractured media. Following previous works on heterogeneous materials, the decision criterion is based on the precision error that arises from the statistical theory of samples. The proposed methodology also relies on the use of the Central Limit Theorem (CLT) to assess the REV of fractured rocks. The CLT is shown to theoretically apply to both the geometrical and the elastic equivalent properties. From that observation, a general equation is drawn to predict the variance of an equivalent property for any REV candidate size, provided that the variance for one size only is known. These concepts are tested using numerous finite element simulations to obtain the distribution of the equivalent elastic moduli of two-dimensional samples containing two fracture networks previously studied for their elastic properties. These properties are confirmed to tend to a normal distribution, as stated by the CLT. Also, the standard deviations associated to the tested REV sizes were predicted with accuracy from the standard

show abstract

Extended Rigid Body Spring Network method for the simulation of brittle rocks

Cited by 40 publications

References 40 publications

Investigation of Microcrack Propagation and Energy Evolution in Brittle Rocks Based on the Voronoi Model

Investigation of Microcrack Propagation and Energy Evolution in Brittle Rocks Based on the Voronoi Model

Catalogue of Radiation-Induced Damage of Rock Aggregates Identified by RBSM Analysis

General Statistics-Based Methodology for the Determination of the Geometrical and Mechanical Representative Elementary Volumes of Fractured Media

Contact Info

Product

Resources

About