Modeling crack propagation path of anisotropic rocks using boundary element method

Ke, Chien-Chung; Chen, Chao Shi; Ku, Cheng-Yu; Chen, Chih‐Hao

doi:10.1002/nag.764

Cited by 19 publications

(6 citation statements)

References 44 publications

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“…Aliabadi and Sollero (1998) proposed a 2D anisotropic material model suitable for implementation in a Boundary Element Method (BEM) code. The model was used to simulate crack propagation in UD fibre-reinforced composites (Aliabadi and Sollero 1998) and in rocks (Chen et al 1998;Ke et al 2009). Motamedi and Mohammadi (2010) further developed the extended FEM (X-FEM) to simulate crack propagation in 2D…”

Section: Introductionmentioning

confidence: 99%

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

Ghajari

Iannucci

Curtis

2014

Computer Methods in Applied Mechanics and Engineering

172

112

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A new material model for the dynamic fracture analysis of anisotropic materials has been proposed within the framework of the bond-based peridynamic theory. This model enables predicting complex fracture phenomena such as spontaneous crack nucleation and crack branching, curving and arrest, a capability inherited from the bond-based peridynamic theory. An important feature of the model is that the bond properties, i.e. the stiffness constant and critical stretch, are continuous functions of bond orientation in the principal material axes. This facilitates fracture analysis of anisotropic materials with random orientations, such as polycrystalline microstructures. Elastic and fracture behaviour of the model has been verified through simulating uniaxial tension of a composite plate and fracture of a cortical bone compact tension specimen, and making quantitative comparisons to analytical and experimental data. To further demonstrate the capabilities of the proposed model, dynamic fracture of a polycrystalline microstructure (alumina ceramic) has been simulated. The influence of the grain boundary and grain interior fracture energies on the interacting and competing fracture modes of polycrystalline materials, i.e. intergranular and transgranular fracture, has been studied.

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Section: Introductionmentioning

confidence: 99%

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

Ghajari

Iannucci

Curtis

2014

Computer Methods in Applied Mechanics and Engineering

172

112

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“…In Ke et al [ 133 ], the authors have suggested a methodology to obtain the fracture toughness of anisotropic rocks through experimental measurements of the elastic parameters and further comparison with a BEM code. In another work, Ke et al [ 132 ] have proposed a crack propagation model for transversely isotropic rocks. Let us remark that all the previously mentioned works have used the Lekhnitskii formalism [ 145 ] in order to model the anisotropy of the material.…”

Section: Discrete Numerical Methodsmentioning

confidence: 99%

Numerical Simulation of Fracking in Shale Rocks: Current State and Future Approaches

Hattori

Trevelyan

Augarde

et al. 2016

Arch Computat Methods Eng

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Extracting gas from shale rocks is one of the current engineering challenges but offers the prospect of cheap gas. Part of the development of an effective engineering solution for shale gas extraction in the future will be the availability of reliable and efficient methods of modelling the development of a fracture system, and the use of these models to guide operators in locating, drilling and pressurising wells. Numerous research papers have been dedicated to this problem, but the information is still incomplete, since a number of simplifications have been adopted such as the assumption of shale as an isotropic material. Recent works on shale characterisation have proved this assumption to be wrong. The anisotropy of shale depends significantly on the scale at which the problem is tackled (nano, micro or macroscale), suggesting that a multiscale model would be appropriate. Moreover, propagation of hydraulic fractures in such a complex medium can be difficult to model with current numerical discretisation methods. The crack propagation may not be unique, and crack branching can occur during the fracture extension. A number of natural fractures could exist in a shale deposit, so we are dealing with several cracks propagating at once over a considerable range of length scales. For all these reasons, the modelling of the fracking problem deserves considerable attention. The objective of this work is to present an overview of the hydraulic fracture of shale, introducing the most recent investigations concerning the anisotropy of shale rocks, then presenting some of the possible numerical methods that could be used to model the real fracking problem.

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“…In a series of studies conducted by Chen et al [20,22,27], the crack initiation angle in homogeneous anisotropic CBD specimens made of marble and shale were investigated both experimentally and numerically with the Boundary Element Method (BEM). Chen et al [90,91] proposed the indirect (Brazilian) tensile strength to determine mechanical properties of rock specimens.…”

Section: Mixed-mode Fracture In Anisotropic Homogeneous Cbd Specimensmentioning

confidence: 99%

“…The effect of material anisotropy on the mode I stress intensity factors (SIFs) by a 3D Finite Element Method was also investigated and reported by Hirose et al [15]. Recently many attempts have been conducted to characterize the effects of geometric parameters (crack length, crack inclination angle, geometric shape of specimen) and mechanical properties (Poisson's ratio, degree of material anisotropy and anisotropic orientation) in homogeneous anisotropic materials [9,12,14,[16][17][18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Fracture mechanism simulation of inhomogeneous anisotropic rocks by extended finite element method

Mohtarami

Baghbanan

Hashemolhosseini

et al. 2019

Theoretical and Applied Fracture Mechanics

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The vast majority of rock masses is anisotropic due to factors such as layering, unequal in-situ stresses, joint sets, and discontinuities. Meanwhile, given the frequently asymmetric distribution of pores, grain sizes or different mineralogical compounds in different locations, they are often classified as inhomogeneous materials. In such materials, stress intensity factors (SIFs) at the crack tip, which control the initiation of failure, strongly depend on mechanical properties of the material near that area. On the other hand, crack propagation trajectories highly depend on the orthotropic properties of the rock mass. In this study, the SIFs are calculated by means of anisotropic crack tip enrichments and an interaction integral are developed for inhomogeneous materials with the help of the extended finite element method (XFEM). We also use the T-stress within the crack tip fields to develop a new criterion to estimate the crack initiation angles and propagation in rock masses. To verify and validate the proposed approach, the results are compared with experimental test results and those reported in the literature. It is found that the ratio of elastic moduli, shear stiffnesses, and material orientation angles have a significant impact on the SIFs. However, the rate of change in material properties is found to have a moderate effect on these factors and a more pronounced effect on the failure force. The results highlight the potential of the proposed formulation in the estimation of SIFs and crack propagation paths in inhomogeneous anisotropic materials.

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Modeling crack propagation path of anisotropic rocks using boundary element method

Cited by 19 publications

References 44 publications

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

Numerical Simulation of Fracking in Shale Rocks: Current State and Future Approaches

Fracture mechanism simulation of inhomogeneous anisotropic rocks by extended finite element method

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