Dynamic instabilities in {111} silicon

Sherman, Dov; Markovitz, M.; Barkai, O.

doi:10.1016/j.jmps.2007.05.010

Cited by 44 publications

(19 citation statements)

References 35 publications

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“…The drifting of facets has been observed in various experimental studies (Lazarus et al, 2008;Baumberger et al, 2008;Sherman et al, 2008;Lin et al, 2010;Ronsin et al, 2014;Pham and Ravi-Chandar, 2014;Kolvin et al, 2018). It is not a priori clear, however, whether or not some or all of these observations may be ascribed to the presence of mode II during crack growth.…”

Section: Discussionmentioning

confidence: 99%

Configurational stability of a crack propagating in a material with mode-dependent fracture energy – Part II: Drift of fracture facets in mixed-mode I+II+III

Vasudevan

Ponson

Leblond

2020

Journal of the Mechanics and Physics of Solids

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In earlier papers (Leblond et al., 2011(Leblond et al., , 2019, we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a "double" propagation criterion combining Griffith (1920)'s energetic condition and Goldstein and Salganik (1974)'s principle of local symmetry. The difference between the two papers was that in the more recent one, the local value of the critical energy-release-rate was no longer considered as a constant, but heuristically allowed to depend upon the ratio of the local mode III to mode I stress intensity factors. This led to a much improved, qualitatively acceptable agreement of theory and experiments, for the "threshold" value of the ratio of the unperturbed mode III to mode I stress intensity factors, above which coplanar propagation becomes unstable. In this paper, the analysis is extended to the case where a small additional mode II loading component is present in the initially planar configuration of the crack, generating a small, general kink of this crack from the moment it is applied. The main new effect resulting from presence of such a loading component is that the instability modes present above the threshold must drift along the crack front during its propagation. This prediction may be useful for future theoretical interpretations of a number of experiments where such a drifting motion was indeed observed.

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Section: Discussionmentioning

confidence: 99%

Configurational stability of a crack propagating in a material with mode-dependent fracture energy – Part II: Drift of fracture facets in mixed-mode I+II+III

Vasudevan

Ponson

Leblond

2020

Journal of the Mechanics and Physics of Solids

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“…Plumose‐type fractographic features were generated in numerous tests on different materials: PMMA [e.g., Pollard et al , 1982; Bahat et al , 2007], starch [ Müller and Dahm , 2000; Müller , 2001], metals [e.g., Hertzberg , 1987], glass (some papers are cited above), in single crystals [ Sherman et al , 2008], and in rocks [ Bahat et al , 2001, 2005]. Various experimentally obtained fractographic features (named striaes, lances, river patterns, cleavage steps (see, e.g., Bahat [1991] for terminology) have in common an aspect of diverging/elongated lineation of reliefs, but in detail they are extremely varied and in most cases different from the delicate plumose patterns in GRAM1 and geological joints.…”

Section: Comparison With Geological Jointsmentioning

confidence: 99%

Mode I cracking versus dilatancy banding: Experimental constraints on the mechanisms of extension fracturing

et al. 2011

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Fractures or discontinuities perpendicular to the least stress σ3 were generated in a synthetic rock analogue (granular, frictional, cohesive, and dilatant) material in axisymmetric extension tests. These fractures are of two types defined by the mean stress σ. When σ is very small, the fractures form through the mode I cracking at tensile σ3 equal to the material tensile strength. The fracture walls have smooth surfaces. At higher σ, these surfaces become rougher, with the topography features forming faint or delicate plumose patterns. The amplitude of the plumose topography increases with σ. The axial stress σ3 at fracturing reduces in magnitude and changes in sign with the σ increase. Thus σ3 orthogonal discontinuities can form at compressive σ3. SEM observations show that these discontinuities are deformation localization bands where the material is characterized by the heterogeneous decohesion and volume and porosity increase due to dilatancy. The band thickness is several grain sizes. At formation, the bands are not opened, so they are not mode I fractures. They become fractures with plumose fractography after the separation of the sample parts along the band. The formation mechanism of these discontinuities or fractures is not completely clear, but it is suggested that it represents a running constitutive instability in the form of dilatancy banding (with further σ increase the bands become inclined to σ1, i.e., shear). The similarity between the experimentally generated plumose surface fractures and natural joints is discussed, and it is suggested that they can be formed as propagating constitutive instabilities.

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“…in its steady state, till reaching one free edge of the specimen. The steady state is revealed by the morphology of the (111) instabilities [23,24], as shown in the right image in Fig. 5b.…”

Section: Fracture Origin Orientationmentioning

confidence: 94%

Disturbance and recovery in high speed (110) cleavage in single crystalline silicon

Zhao

Wang

Maynadier

et al. 2018

Journal of the European Ceramic Society

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Stress perturbations and material defects can significantly affect the fracture initiation and propagation behaviors in brittle materials. In this work, we show that (110) [110] cleavage in silicon deflects onto (111) plane in the presence of contact stresses. The deflection is however not permanent as the crack returns to the (110) plane after a certain length of propagation, even in the case where the crack velocity is up to 78% of the Rayleigh wave speed. The recovery behavior indicates that the (110) [110] cleavage is invariably prevailing when perpendicular to the maximum stress. Following this indication, it can be concluded that the observed (110) [110]-(111) deflection in previous literature is most likely driven by the external disturbance rather than the crack velocity induced toughness evolution. We also highlight that the extra energy for the (110) recovery is minimized at the expense of a large propagation distance upon the plane switch.

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Dynamic instabilities in {111} silicon

Cited by 44 publications

References 35 publications

Configurational stability of a crack propagating in a material with mode-dependent fracture energy – Part II: Drift of fracture facets in mixed-mode I+II+III

Configurational stability of a crack propagating in a material with mode-dependent fracture energy – Part II: Drift of fracture facets in mixed-mode I+II+III

Mode I cracking versus dilatancy banding: Experimental constraints on the mechanisms of extension fracturing

Disturbance and recovery in high speed (110) cleavage in single crystalline silicon

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