Numerical computation of the crack development and SIF in composite materials with XFEM and SFEM

Dimitri, Rossana; Fantuzzi, Nicholas; Li, Yong; Tornabene, Francesco

doi:10.1016/j.compstruct.2016.10.067

Cited by 54 publications

(13 citation statements)

References 47 publications

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“…Dimitri and al. 6 proposed the application of the level set method combined with the numerical extended finite element method (XFEM) to predict the fracture direction of propagation within a specimen, and to compute the stress intensity factor for cracked plates under different loading conditions. Using the maximum energy release rate criterion and interaction integrals, Kim and Paulino 7 simulated the crack propagation in FGMs, under mixed-mode and non-proportional loading.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Modelling of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials

Chafi

Boulenouar

2019

Mat. Res.

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The main objective of this work is to present a numerical modeling of crack propagation path in isotropic functionally graded materials (FGMs) under mixed-mode loadings. The displacement extrapolation technique (DET) and the maximum circumferential stress (MCS) criterion are investigated in the context of crack growth in functionally graded beam subject to three and four bending conditions. Using the Ansys Parametric Design Language (APDL), the variation continues of the material properties are incorporated by specifying the material parameters at the centroid of each finite element (FE) and the crack direction angle is evaluated as a function of stress intensity factors (SIFs) at each increment of crack extension. In this paper, two applications are investigated using an initial crack perpendicular and parallel to material gradient, respectively. The developed approach is validated using available numerical and experimental results reported in the literature.

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Section: Introductionmentioning

confidence: 99%

A Numerical Modelling of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials

Chafi

Boulenouar

2019

Mat. Res.

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“…As a safety factor, the reciprocal of the normalized stress intensity factor shown in part (6) of Table 3 is used as the joint plane spatial formation factor, as shown in part (7). The distribution curve (Figure 13) of the joint plane spatial formation factor of various joint plane angles shows that as the angle continuously increases, the equivalent strength of the twisted joint plane also increases; when the angle is 5 ∘ , the joint plane spatial formation factor is 1.02, which means that Note: (1) is the average equivalent stress intensity factor of the twisted joint plane in a square plate under uniaxial tensile loading; (2) is the average equivalent stress intensity factor of the twisted joint plane in a square plate under shear loading; (3) is the average equivalent stress intensity factor of the twisted joint plane in a semicylindrical arch dam with the slope angle of 30 ∘ under temperature drop loading; (4) is the average equivalent stress intensity factor of the twisted joint plane in a semicylindrical arch dam with the slope angle of 45 ∘ under temperature drop loading; (5) is the average equivalent stress intensity factor of the twisted joint plane of in semicylindrical arch dam with the slope angle of 60 ∘ under temperature drop loading; (6) is the lowest value of the normalized stress intensity factor shown in columns (1)∼(5); (7) is the joint plane spatial formation factor.…”

Section: Discussion and Modification Of The Existing Equivalent Strenmentioning

confidence: 99%

“…In order to facilitate its application in design, we used a regression fit function on the joint plane spatial formation factor of various plane angles, and we were able to obtain a best-fit equation, shown as (7), with the correlation coefficient of 0.9995.…”

Section: Discussion and Modification Of The Existing Equivalent Strenmentioning

confidence: 99%

“…This approach cannot effectively reflect the spatial effect of the noncoplanar induced joint cracking problem. Strictly speaking, induced joint cracking is a three-dimensional fracturing problem; many scholars have made many research achievements in this field [4][5][6][7][8]. Therefore, a three-dimensional approach is necessary in order to analyze the stress on the induced joints of various spatial formations and to study the cracking effect of various joint plane formations of induced joints.…”

Section: Introductionmentioning

confidence: 99%

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A Comparative Study of the Cracking Effect of Induced Joints of Various Spatial Formations

Yang

2019

Mathematical Problems in Engineering

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The use of induced joints is a common cracking control measure used in the design of roller compacted concrete arch dams. Currently, in some projects in which radial twisted joints were used, during the construction period, some cracks appeared around the induced joints while the joints themselves failed to open. From the fracture mechanics point of view, this problem is related to the variations in the spatial formation of the induced joint planes. In this study, we formulated numerical examples involving square plate and cylindrical arch dam with joints of various planar spatial formations and used the virtual crack-closure technique and the Richard brittle fracture criterion to obtain the equivalent stress intensity factor of the joint plane, and we studied the joint plane stress intensity factor based on the variations in the joint plane formation angle. Based on the reciprocal of the normalized stress intensity factor, we obtained the equivalent strength correction coefficient for induced joints of varying plane angles, referred to in this study as the joint plane formation factor ψα, in order to reflect the influence of varying joint plane formations on the induced joint cracking. Our study results show that as the joint plane angle continuously increases, it is more difficult for the induced joints to open, which implies a gradual increase in the equivalent strength of the joint plane. Therefore, in the actual design of rolled concrete arch dams, the straight transverse joint layout should be used for induced joints. If the use of the radial twisted joint layout is necessary, the joint plane angle should not exceed 10°.

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“…11,12 It has been well known that it is challenging for mesh-based methods like the finite element methods (FEMs) to capture the fracture and separation of materials. 13 The capabilities of the FEMs can be can greatly extended by different enhancements, like the extended FEM [14][15][16][17][18] and similar approaches such as strong discontinuity approach [19][20][21][22][23][24][25] and enhanced assumed strain. [26][27][28][29] However, they are usually mathematically complicated while still not being able to resolve all inherent issues of the FEMs in handling severe mesh distortion and fragmentation.…”

Section: Introductionmentioning

confidence: 99%

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

Wang

Tran

Nguyen

et al. 2020

Num Anal Meth Geomechanics

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This paper focuses on the modelling of mixed-mode fracture using the conventional smoothed particle hydrodynamics (SPH) method and a mixed-mode cohesive fracture law embedded in the particles. The combination of conventional SPH and a mixed-mode cohesive model allows capturing fracture and separation under various loading conditions efficiently. The key advantage of this framework is its capability to represent complex fracture geometries by a set of cracked SPH particles, each of which can possess its own mixed-mode cohesive fracture with arbitrary orientations. Therefore, this can naturally capture complex fracture patterns without any predefined fracture topologies.Because a characteristic length scale related to the size of the fracture process zone is incorporated in the constitutive formulation, the proposed approach is independent from the spatial discretisation of the computational domain (or mesh independent). Furthermore, the anisotropic fracture responses of materials can be naturally captured thanks to the orientation of the fracture process zone embedded at the particle level. The performance of the proposed approach demonstrates its potentials in modelling mixed-mode fracture of rocks and similar quasi-brittle materials. K E Y W O R D Scohesive fracture law, mixed-mode, regularisation, rock fracture, smoothed particle hydrodynamics (SPH)

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Numerical computation of the crack development and SIF in composite materials with XFEM and SFEM

Cited by 54 publications

References 47 publications

A Numerical Modelling of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials

A Numerical Modelling of Mixed Mode Crack Initiation and Growth in Functionally Graded Materials

A Comparative Study of the Cracking Effect of Induced Joints of Various Spatial Formations

Simulation of mixed‐mode fracture using SPH particles with an embedded fracture process zone

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