Mixed Mode Fracture

Sun, C. T.; Jin, Zhaoyu

doi:10.1016/b978-0-12-385001-0.00005-5

Cited by 34 publications

(59 citation statements)

References 5 publications

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“…Atoms within ∼ 2r c from the boundary are set as outer boundary atoms. To load the crack, the anisotropic elastic displacement field of mode I crack tip stress intensity factor K I is used for the initial atom positions [25]. Relaxation of the system to minimize the total energy is then performed while holding the outer boundary atoms fixed at their anisotropic elastic displacements.…”

Section: Simulation Methods and Geometriesmentioning

confidence: 99%

Magnesium interatomic potential for simulating plasticity and fracture phenomena

Francis

Curtin

2014

Modelling Simul. Mater. Sci. Eng.

136

104

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Abstract.Magnesium has multiple dislocation and twinning systems with starkly different properties, which make its plastic deformation strongly anisotropic and highly complex. Existing empirical interatomic potentials fail to capture the full scope of these properties, making current molecular statics and dynamics simulation results of limited quantitative and predictive use. Here, based on the work by Kim et al, a new modified embedded-atom method potential for magnesium is introduced and rigorously validated against existing ab initio, continuum theory and experimental results. The new potential satisfactorily reproduces all the necessary mechanical properties for plastic deformation, including the various generalized stacking fault energy surfaces, dislocations core structures, Peierls stresses, surface energies, and basal plane cohesive strength. The capability of this potential to accurately describe all the important slip systems and fracture behavior makes it valuable for future realistic atomistic studies of general magnesium deformation and failure problems.

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Section: Simulation Methods and Geometriesmentioning

confidence: 99%

Magnesium interatomic potential for simulating plasticity and fracture phenomena

Francis

Curtin

2014

Modelling Simul. Mater. Sci. Eng.

136

104

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“…None of the fault structures resulting from these classical stress-based criteria resembles a graben structure, which would be expected by fracture mechanical considerations and geological observations (e.g., Sun and Jin, 2011;Gudmundsson, 2012) for the given type of external deformation.…”

Section: Background and Test Of Stress-based Fracture Criteriamentioning

confidence: 89%

A new mixed-mode fracture criterion for large-scale lattice models

Sachau

Koehn

2014

Geosci. Model Dev.

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Abstract. Reasonable fracture criteria are crucial for the modeling of dynamic failure in computational lattice models. Successful criteria exist for experiments on the micro-and on the mesoscale, which are based on the stress that a bond experiences. In this paper, we test the applicability of these failure criteria to large-scale models, where gravity plays an important role in addition to the externally applied deformation. Brittle structures, resulting from these criteria, do not resemble the outcome predicted by fracture mechanics and by geological observations. For this reason we derive an elliptical fracture criterion, which is based on the strain energy stored in a bond. Simulations using the new criterion result in realistic structures. It is another great advantage of this fracture model that it can be combined with classic geological material parameters: the tensile strength σ 0 and the shear cohesion τ 0 . The proposed fracture criterion is much more robust with regard to numerical strain increments than fracture criteria based on stress (e.g., Drucker-Prager). While we tested the fracture model only for large-scale structures, there is strong reason to believe that the model is equally applicable to lattice simulations on the micro-and on the mesoscale.

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“…Constants in the Drucker-Prager failure criterion a 11 , a 12 , a 22 Constants in Sih strain energy density (SED) criterion G Kirschhoff (shear) modulus E…”

Section: List Of Symbols a Bmentioning

confidence: 99%

“…Basic modes of fracture: opening mode (mode I), sliding mode (mode II) and the tearing mode (mode III) [22] are convenient methods for estimating the strength of the material and the direction of crack propagation. In the case of brittle materials, which are often considered as the linearelastic medium until failure, convenient approach is to apply linear-elastic fracture mechanics (LEFM).…”

Section: Introductionmentioning

confidence: 99%

“…Determination of the l(x, y)-effort function, depending on the stress field and failure criteria used, can easily show on the example of classic problem of stress around the crack tip which has been solved by Westergaard [22]. For simplicity two-parameter Drucker-Prager failure criterion can be used which has a conical limit surface in the 3D space of principal stresses (Fig.…”

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confidence: 99%

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The criterion for determining the direction of crack propagation in a random pattern composites

Podgórski

2016

Meccanica

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Presented paper contains results of fracture analysis of brittle composite materials with a random distribution of grains. The composite structure has been modelled as an isotropic matrix that surrounds circular grains with random diameters and space position. Analyses were preformed for the rectangular ''numerical sample'' by finite element method. FE mesh for the examples were generated using the authors' computer program RandomGrain. Fracture analyses were accomplished with the authors' computer program CrackPath3 executing the ''fine mesh window'' technique. Calculations were preformed in 2D space assuming the plane stress state. Current efforts focus on brittle materials such as rocks or concrete.

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Mixed Mode Fracture

Cited by 34 publications

References 5 publications

Magnesium interatomic potential for simulating plasticity and fracture phenomena

Magnesium interatomic potential for simulating plasticity and fracture phenomena

A new mixed-mode fracture criterion for large-scale lattice models

The criterion for determining the direction of crack propagation in a random pattern composites

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