Interfacial and Nanoscale Failure

Yang, Wensheng

doi:10.1016/b0-08-043749-4/08148-9

Cited by 11 publications

(2 citation statements)

References 197 publications

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“…We note that there is a school of thought that insists that fractal geometry, rather than differential geometry, is the only meaningful approach when dealing with polycrystalline fracture surfaces [35][36][37][38][39]. Also note that the grain boundary area between the two intersections with the cleavage cracks in figure 7b would ultimately fail by some other mechanism, possibly ductile shear [15,16,22,[27][28][29]. This modelling result is consistent with the theoretical framework (see figure 3 and [15,16]).…”

Section: Resultsmentioning

confidence: 99%

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Three-dimensional cellular automata modelling of cleavage propagation across crystal boundaries in polycrystalline microstructures

Shterenlikht

Margetts

2015

Proc. R. Soc. A.

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A three-dimensional cellular automata (CA) with rectilinear layout is used in this work to create and cleave polycrystalline microstructures. Each crystal is defined by a unique randomly generated orientation tensor. Separate states for grains, grain boundaries, crack flanks and crack fronts are created. Algorithms for progressive cleavage propagation through crystals and across grain boundaries are detailed. The mesh independent cleavage criterion includes the critical cleavage stress and the length scale. Resolution of an arbitrary crystallographic plane within a 26-cell Moore neighbourhood is considered. The model is implemented in Fortran 2008 coarrays. The model gives realistic predictions of grain size and misorientation distributions, grain boundary topology and crack geometry. Finally, we show how the proposed CA model can be linked to a finite-element model to produce a multi-scale fracture framework.

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Section: Resultsmentioning

confidence: 99%

“…However, algorithm 4 does not take into account the full complexity of cleavage propagation across a grain boundary in three dimensions (e.g. [15,27,28]).…”

Section: Cleavage Representation In the Cellular Modelmentioning

confidence: 99%

Three-dimensional cellular automata modelling of cleavage propagation across crystal boundaries in polycrystalline microstructures

Shterenlikht

Margetts

2015

Proc. R. Soc. A.

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Fracture Mechanics

Kolednik

2012

Wiley Encyclopedia of Composites

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Fracture mechanics is a continuum mechanics tool for the description of the behavior of cracks in materials and components. The text concentrates on the fundamental understanding of the various parameters that are applied to characterize the crack driving force and the fracture resistance and outlines their physical meanings and their limitations. Then a few important topics are presented, such as the influence of geometry and size on the crack growth resistance, the conditions for unstable crack growth, and the prediction of the crack path. The final focus is the behavior of cracks in inhomogeneous materials, such as composites. Especially interesting here is the understanding, how spatial material property variations influence the crack driving force, since this opens the door for materials and components design, that is, to optimize materials by intentional variations of the material properties so that the fracture resistance increases.

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