Extended finite element method and anisotropic damage plasticity for modelling crack propagation in concrete

Javanmardi, Mohammadreza; Maheri, Mahmoud R.

doi:10.1016/j.finel.2019.07.004

Cited by 36 publications

(12 citation statements)

References 50 publications

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“…Figure 2 shows an infinite plate with a hole subjected to a two-directional stress field in which = ∞ and = ∞ . The stress state around a circular hole under two-directional stress field in an infinite plate is (Hubbert and Willis 1972)…”

Section: Stress State Around Circular Holes and Cracks Under Mode-i Loading Conditionmentioning

confidence: 99%

Failure Mechanism of Rock Specimens with a Notched Hole Under Compression - A Numerical Study

Manouchehrian

Kulatilake

2021

Preprint

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Discontinuities are natural structures that exist in rocks and can affect the stability of rock structures. In this article, the influence of notch presence on the failure evolution around a hole in compressed rock specimens is investigated numerically. Firstly, the uniaxial compressive test on a rock specimen with a circular hole is modeled and the failure evolution in the specimen is simulated. In a separate model, notches are created at the surface of the hole. Results show that when the notches are created in the model, failure zone around the hole is transferred to a distance away from the surface of the hole. In addition, a parametric study is carried out to investigate the influence of the notch length and the confining pressure on the fracturing behavior of the specimen. Numerical results presented in this article indicate that the presence of notches at the surface of the hole and their dimensions can affect the fracturing mechanism of the specimen. In some cases, the failure at the boundary of the hole is prevented when the notches of certain dimensions are added to the hole. The insights gained from this numerical study may be helpful to control the failure around underground excavations.

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Section: Stress State Around Circular Holes and Cracks Under Mode-i Loading Conditionmentioning

confidence: 99%

Failure Mechanism of Rock Specimens with a Notched Hole Under Compression - A Numerical Study

Manouchehrian

Kulatilake

2021

Preprint

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“…To simulate complex engineering problems, advanced numerical models are needed. Successful application of different numerical methods such as the finite element method (FEM), extended finite element method (XFEM), discrete/distinct element method (DEM), boundary element method (BEM), and displacement discontinuity method (DDM) have proved the merits of numerical models for the simulation of fracture evolution in solids [19,[30][31][32][33][34][35][36][37]. In this section, simulation of failure evolution in rock specimens with a notched hole is discussed.…”

Section: Simulation Of Failure In a Rock Specimen With A Notched Holementioning

confidence: 99%

Failure Mechanism of Rock Specimens with a Notched Hole under Compression—A Numerical Study

Manouchehrian

Kulatilake

2021

Applied Sciences

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Discontinuities are natural structures that exist in rocks and can affect the stability of rock structures. In this article, the influence of notch presence on the strength and failure evolution around a hole in compressed rock specimens is investigated numerically. Firstly, the uniaxial compressive test on a rock specimen with a circular hole is modeled, and the failure evolution in the specimen is simulated. In a separate model, notches are created at the surface of the hole. Results show that, when the notches are created in the model, a failure zone around the hole is transferred to a distance away from the surface of the hole. In addition, a parametric study is carried out to investigate the influence of the notch length and the confining pressure on the fracturing behavior of the specimen. Numerical results presented in this article indicate that the presence of notches at the surface of the hole and their dimensions can affect the fracturing mechanism of the specimen. In some cases, the failure at the boundary of the hole is prevented when the notches of certain dimensions are added to the hole. The insights gained from this numerical study may be helpful to control the failure around underground excavations.

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“…Khaji and Zakian combined stochastic finite element with spectral finite element as a new numerical tool to quantify uncertainty and applied it to engineering system reliability analysis [7]. Javanmardi and Maheri used the extended finite element method to predict the crack initiation and propagation direction of 3D solid concrete [8]. However, those advanced finite element methods, such as the extended finite element method and submodel method, are suitable for crack growth analysis, while the new meshless method has the disadvantages of long calculation time and low efficiency [9].…”

Section: Introductionmentioning

confidence: 99%

Forming Analysis of Bulge Formed Joints Based on Adaptive Finite Element Method

Zhai

Sun

Zhang

et al. 2021

mech

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Metal bulk forming is widely used because of its own advantages. In order to improve the production efficiency and reduce the cost, numerical simulation is often used to analyze the volume forming process. Because of the large deformation and non-linearity of the forming process, the finite element method (FEM) has the problem of element distortion, which will affect the accuracy and even lead to the failure of the analysis process. In this paper, an adaptive finite element method (AFEM) is proposed to solve this problem. Firstly, the finite element model is established, and grids are roughly divided. After the analysis, according to the error calculation model, the area with large error is determined by the standard deviation of nominal strain energy of nodes. Then, the grids are refined by dichotomy method, and the calculation is continued, repeating this step until the error meets the requirement. Finally, the numerical analysis of the forging process of the bulge formed joint is taken as an example to prove the accuracy of the proposed method.

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Extended finite element method and anisotropic damage plasticity for modelling crack propagation in concrete

Cited by 36 publications

References 50 publications

Failure Mechanism of Rock Specimens with a Notched Hole Under Compression - A Numerical Study

Failure Mechanism of Rock Specimens with a Notched Hole Under Compression - A Numerical Study

Failure Mechanism of Rock Specimens with a Notched Hole under Compression—A Numerical Study

Forming Analysis of Bulge Formed Joints Based on Adaptive Finite Element Method

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