Minimum energy multiple crack propagation. Part-II: Discrete solution with XFEM

Sutula, Danas; Kerfriden, Pierre; Dam, Tonie van; Bordas, Stéphane P.A.

doi:10.1016/j.engfracmech.2017.07.029

Cited by 65 publications

(17 citation statements)

References 36 publications

(53 reference statements)

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“…The range of possible applications includes problems far more challenging than two-dimensional linear elastic crack propagation. For instance, the method can be extended to three dimensions in a straightforward way [132,136,137], while the treatment of problems involving multiple cracks [163,166,169,170] is also possible. The extension to dynamic crack propagation can be challenging, it is however possible and has been studied in several works, for instance references [171][172][173].…”

Section: Applications In Fracture Mechanics and Extensionsmentioning

confidence: 99%

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

et al. 2019

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Three alternative approaches, namely the extended/generalized finite element method (XFEM/GFEM), the scaled boundary finite element method (SBFEM) and phase field methods, are surveyed and compared in the context of linear elastic fracture mechanics (LEFM). The purpose of the study is to provide a critical literature review, emphasizing on the mathematical, conceptual and implementation particularities that lead to the specific advantages and disadvantages of each method, as well as to offer numerical examples that help illustrate these features.

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Section: Applications In Fracture Mechanics and Extensionsmentioning

confidence: 99%

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

et al. 2019

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“…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%

“…In order to take into account the anisotropy in computations, Asadpoure et al [16,46,47] introduced a set of enrichment functions inspired by analytical solutions of Sih et al [48] and Viola et al [49] which used the notion of complex numbers. Recently XFEM has been developed to model a 3D crack propagation [50][51][52][53] and multi-crack growth [24][25][26]. In addition, in the field of rock engineering, XFEM is one of the powerful tools that has been successfully applied to simulate hydraulic fracturing in hydrocarbon reservoirs, given the inherent anisotropy of the rock formations [54][55][56].…”

Section: Introductionmentioning

confidence: 99%

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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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“…Mechanical performance of materials is largely limited by the existence of defects such as cracks, voids, inclusions and dislocations [1][2][3][4][5][6]. For viscoplastic or time-dependent inelastic materials, it has been shown that viscoplastic deformation plays an important role in determination of stress/strain fields near a crack tip.…”

Section: Introductionmentioning

confidence: 99%

M-integral analysis for cracks in a viscoplastic material with extended finite element method

Hou

Zuo

et al. 2018

Engineering Fracture Mechanics

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The M-integral can be used to quantify complex damage in materials subjected to mechanical deformation. However, the effect of viscoplasticity on the damage level associated with the M-integral has not been studied yet. In this paper, the variation of the Mintegral associated with viscoplastic deformation was investigated numerically using a userdefined material subroutine. Effects of creep deformation and loading rate on the M-integral were also evaluated. In particular, the association of crack growth with the evolution of the M-integral was captured by the extended finite element method for different crack configurations. It was found that viscoplastic deformation has a great effect on the damage evolution of viscoplastic materials characterized by the M-integral. Crack growth leads to an increase of the M-integral, indicating progressive damage of the materials. Concerning the secondary cracks formed around a major crack, the results show that the M-integral is highly dependent on the numbers and locations of those secondary cracks. Shielding effect is mostly evident for microcracks with centres located just behind or vertically in line with the major crack tip. With the increasing number of microcracks, the shielding effect tends to decrease as reflected by the increasing M-integral values.

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Minimum energy multiple crack propagation. Part-II: Discrete solution with XFEM

Cited by 65 publications

References 36 publications

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review

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

M-integral analysis for cracks in a viscoplastic material with extended finite element method

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