Finite strain, finite rotation quadratic tetrahedral element for the combined finite–discrete element method

Xiang, Jiansheng; Munjiza, Ante; Latham, John

doi:10.1002/nme.2599

Cited by 88 publications

(48 citation statements)

References 31 publications

(22 reference statements)

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“…In the numerical results presented in this paper, the loading is slow enough so that dynamic effects can be neglected. The details of the FEMDEM method and its fracture model can be found elsewhere Munjiza, 2004;Xiang et al, 2009) and here only some key aspects are briefly introduced.…”

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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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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“…A hybrid FEM/DEM method consists of these essential components has been implemented by Liu et al [6] on the basis of their previous enriched finite element codes RFPA-RT2D [7] and TunGeo3D [8], and the open-source combined finite-discrete element libraries Y2D and Y3D originally developed by Munjiza [5] and Xiang et al [9], respectively, which is to be used in this study.…”

Section: Hybrid Fem/dem Methodsmentioning

confidence: 99%

Hybrid Continuum-Discontinuum Modelling of Rock Fracutre Process in Brazilian Tensile Strength Test

An¹,

Liu²,

Wang³

et al. 2017

CEJ

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A hybrid continuum-discontinuum method is introduced to model the rock failure process in Brazilian tensile strength (BTS) test. The key component of the hybrid continuum-discontinuum method, i.e. transition from continuum to discontinuum through fracture and fragmentation, is introduced in detail. A laboratory test is conducted first to capture the rock fracture pattern in the BTS test while the tensile strength is calculated according to the peak value of the loading forces. Then the proposed method is used to model the rock behaviour during BTS test. The stress propagation is modelled and compared with those modelled by finite element method in literatures. In addition, the crack initiation and propagation are captured and compared with the facture patter in laboratory test. Moreover, the force-loading displacement curve is obtained which represents a typical brittle material failure process. Furthermore, the stress distributions along the vertical direction are compared with the theoretical solution. It is concluded that the hybrid continuum-discontinuum method can model the stress propagation process and the entire rock failure process in BTS test. The proposed method is a valuable numerical tool for studying the rock behaviour involving the fracture and fragmentation processes.

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“…The structural dynamics is solved on a separate model. The combined finite-discrete element model 'Y3D' is coupled to 'Fluidity' and solves the deformable body equations using a finitestrain formulation [16,17]. This can compute the stresses and vibration modes of structures of any shape and stiffness.…”

Section: Mathematical Formulationmentioning

confidence: 99%

An immersed-shell method for modelling fluid–structure interactions

Viré

Xiang

Pain

2015

Phil. Trans. R. Soc. A.

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The paper presents a novel method for numerically modelling fluid-structure interactions. The method consists of solving the fluid-dynamics equations on an extended domain, where the computational mesh covers both fluid and solid structures. The fluid and solid velocities are relaxed to one another through a penalty force. The latter acts on a thin shell surrounding the solid structures. Additionally, the shell is represented on the extended domain by a non-zero shell-concentration field, which is obtained by conservatively mapping the shell mesh onto the extended mesh. The paper outlines the theory underpinning this novel method, referred to as the immersed-shell approach. It also shows how the coupling between a fluid-and a structural-dynamics solver is achieved. At this stage, results are shown for cases of fundamental interest.

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Finite strain, finite rotation quadratic tetrahedral element for the combined finite–discrete element method

Cited by 88 publications

References 31 publications

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

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

Hybrid Continuum-Discontinuum Modelling of Rock Fracutre Process in Brazilian Tensile Strength Test

An immersed-shell method for modelling fluid–structure interactions

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