3D crack propagation with cohesive elements in the extended finite element method

Ferté, Guilhem; Massin, Patrick; Moës, Nicolas

doi:10.1016/j.cma.2015.11.018

Cited by 88 publications

(48 citation statements)

References 84 publications

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“…Concerning the irreducible formulation, the results shows a clear mesh bias, with a relatively small twisting rotation for the isotropic damage case and almost no twisting at all in the case of plasticity. Figure 9 depicts the relative position of the computed crack path with respect to the notch location compared to the experimental results reported by Citarella and Buchholz [47] and the XFEM numerical simulation of Ferté et al [48]. Once again, standard displacement based finite elements are unable to provide a satisfactory result, with the crack having a marked tendency to follow one of the directions of the mesh, independently from the constitutive law.…”

Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 91%

“…The initial profile of the localization band coincides in all four examples: the surface develops from Figure 9: Plot of the computed crack path with respect to the experimental data from Citarella and Buchholz [47] and previous results from Ferté et al [48]. the two opposite inner corners of the notch and connects (almost) symmetrically at the center of the specimen.…”

Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 96%

“…Lazarus and Leblond [6] and Lazarus et al [8] studied the same problem in the case of monotonic load. Finally, Citarella and Buchholz [47] and Ferté et al [48] studied the problem from a computational stand point using the Boundary Elements Method and the X-FEM technology, respectively. Examining the experimental results (Figure 4), the crack starts from the initial notch and, with increasing applied load, a rotation of the failure surface is observable.…”

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

See 2 more Smart Citations

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

Benedetti

Cervera

Chiumenti

2017

Engineering Fracture Mechanics

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The testing of mode III and mixed mode failure is every so often encountered in the dedicated literature of mechanical characterization of brittle and quasi-brittle materials. In this work, the application of the mixed strain displacement ε − u finite element formulation to three examples involving skew notched beams is presented. The use of this FE technology is effective in problems involving localization of strains in softening materials.The objectives of the paper are: (i) to test the mixed formulation in mode III and mixed mode failure and (ii) to present an enhancement in terms of computational time given by the kinematic compatibility between irreducible displacement-based and the mixed strain-displacement elements.Three tests of skew-notched beams are presented: firstly, a three point bending test of a PolyMethyl MethaAcrylate beam; secondly, a torsion test of a plain concrete prismatic beam with square base; finally, a torsion test of a cylindrical beam made of plain concrete as well. To describe the mechanical behavior of the material in the inelastic range, Rankine and Drucker-Prager failure criteria are used in both plasticity and isotropic continuum damage formats.The proposed mixed formulation is capable of yielding results close to the experimental ones in terms of fracture surface, peak load and global loss of carrying capability. In addition, the symmetric secant formulation and the compatibility condition between the standard irreducible method and the strain-displacement one is exploited, resulting in a significant speedup of the computational procedure.

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Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 91%

Section: Associative Plasticity Model Isotropic Continuum Damage Modelmentioning

confidence: 96%

Section: Plasticity and Damage Modelsmentioning

confidence: 99%

See 1 more Smart Citation

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

Benedetti

Cervera

Chiumenti

2017

Engineering Fracture Mechanics

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“…The element of set E is composed of the fracture in DFN. Set W is computed by Equations (6) and (7) (5) and (6), γ = 1.0 × 10 6 J/m in Equation (7). Based on Definition 2.2-2.3 in Section 2, p ij = (v i , u j ) presents the weight from v i to u j (i, j = 1, 2, ..., 12), and δ(u, v) represents the shortest path with the minimum sum of the fracture weights.…”

Section: Determination Of the Hydraulic Fracturementioning

confidence: 99%

“…Mohammadnejad and Khoei used a fully coupled extended finite element method for hydraulic fracture propagation of porous media [6]. Ferté et al combined extended the finite element method and cohesive zone models to predict crack paths and to compute the crack deflection angle [7]. Fu et al simulated hydraulic fracturing in arbitrary discrete fracture networks by using an explicit coupling simulation strategy [8].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Propagation of Hydraulic and Natural Fracture Using Dijkstra’s Algorithm

Xiao

2016

Energies

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Utilization of hydraulic-fracturing technology is dramatically increasing in exploitation of natural gas extraction. However the prediction of the configuration of propagated hydraulic fracture is extremely challenging. This paper presents a numerical method of obtaining the configuration of the propagated hydraulic fracture into discrete natural fracture network system. The method is developed on the basis of weighted fracture which is derived in combination of Dijkstra's algorithm energy theory and vector method. Numerical results along with experimental data demonstrated that proposed method is capable of predicting the propagated hydraulic fracture configuration reasonably with high computation efficiency. Sensitivity analysis reveals a number of interesting observation results: the shortest path weight value decreases with increasing of fracture density and length, and increases with increasing of the angle between fractures to the maximum principal stress direction. Our method is helpful for evaluating the complexity of the discrete fracture network, to obtain the extension direction of the fracture.

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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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3D crack propagation with cohesive elements in the extended finite element method

Cited by 88 publications

References 84 publications

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

3D numerical modelling of twisting cracks under bending and torsion of skew notched beams

Numerical Simulation of the Propagation of Hydraulic and Natural Fracture Using Dijkstra’s Algorithm

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

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