A nonlinear symmetry breaking effect in shear cracks

Harpaz, Roi; Bouchbinder, Eran

doi:10.1016/j.jmps.2012.06.010

Cited by 7 publications

(6 citation statements)

References 35 publications

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“…The question of near-tip separation also raises an interesting theoretical point. LEFM is relevant only up to scales that are limited by either nonlinear elasticity (30) or the cohesive zone at the crack's tip. For homogeneous frictional ruptures, Svetlizky and Fineberg (12) measured the cohesive zone size to be at the millimeter scale, for approximately the same experimental conditions.…”

Section: Discussionmentioning

confidence: 99%

The onset of the frictional motion of dissimilar materials

Shlomai

Kammer

Adda-Bedia

et al. 2020

Proc. Natl. Acad. Sci. U.S.A.

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Frictional motion between contacting bodies is governed by propagating rupture fronts that are essentially earthquakes. These fronts break the contacts composing the interface separating the bodies to enable their relative motion. The most general type of frictional motion takes place when the two bodies are not identical. Within these so-called bimaterial interfaces, the onset of frictional motion is often mediated by highly localized rupture fronts, called slip pulses. Here, we show how this unique rupture mode develops, evolves, and changes the character of the interface’s behavior. Bimaterial slip pulses initiate as “subshear” cracks (slower than shear waves) that transition to developed slip pulses where normal stresses almost vanish at their leading edge. The observed slip pulses propagate solely within a narrow range of “transonic” velocities, bounded between the shear wave velocity of the softer material and a limiting velocity. We derive analytic solutions for both subshear cracks and the leading edge of slip pulses. These solutions both provide an excellent description of our experimental measurements and quantitatively explain slip pulses’ limiting velocities. We furthermore find that frictional coupling between local normal stress variations and frictional resistance actually promotes the interface separation that is critical for slip-pulse localization. These results provide a full picture of slip-pulse formation and structure that is important for our fundamental understanding of both earthquake motion and the most general types of frictional processes.

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Section: Discussionmentioning

confidence: 99%

The onset of the frictional motion of dissimilar materials

Shlomai

Kammer

Adda-Bedia

et al. 2020

Proc. Natl. Acad. Sci. U.S.A.

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“…The latter at least recovers the basic physical intuition that mode I fracture occurs under extensional deformation ahead of the propagating tip. As was mentioned above, when nonlinearities are taken into account for mode II cracks [42], a symmetry-breaking effect in which LEFM mode II (shear) cracks feature mode I (tensile) properties naturally emerges in this theoretical framework [43].…”

Section: Weakly Nonlinear Theory Of Fracture Near-tip Fields and Intr...mentioning

confidence: 92%

Recent developments in dynamic fracture: some perspectives

Fineberg

Bouchbinder

2015

Int J Fract

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We briefly review a number of important recent experimental and theoretical developments in the field of dynamic fracture. Topics include experimental validation of the equations of motion for straight tensile cracks (in both infinite media and strip geometries), validation of a new theoretical description of the near-tip fields of dynamic cracks incorporating weak elastic nonlinearities, a new understanding of dynamic instabilities of tensile cracks in both 2D and 3D, crack front dynamics, and the relation between frictional motion and dynamic shear cracks. Related future research directions are briefly discussed.

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“…In other words, the crack surface can open even if only shear stresses are applied in the far field. This has been recognized and explicitly demonstrated in a recent work by Harpz and Bouchbinder [73]. The absence of a pure Mode II solution and the breakdown of superposition principle in large deformation bring difficulty for the search for a general mix-mode crack tip solution In Sections 3.2.2-3.2.4, we will first discuss the Mode-I solution where the crack tip field obeys the symmetry condition in (20).…”

Section: Existence Of Mode IImentioning

confidence: 92%

Crack tip fields in soft elastic solids subjected to large quasi-static deformation — A review

Long

Hui

2015

Extreme Mechanics Letters

117

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We review analytical solutions for the asymptotic deformation and stress fields near the tip of a crack in soft elastic solids. These solutions are based on finite strain elastostatics and hyperelastic material models, and exhibit significantly different characteristics than the classical crack tip field solutions in linear elastic fracture mechanics. Specifically, we summarize some available finite strain crack tip solutions for two dimensional cracks, namely that plane strain, plane stress, and anti-plane shear cracks in a certain class of homogeneous materials. Interface cracks between soft elastic solids and a rigid substrate are also discussed. We focus on incompressible material models with various degrees of strain stiffening effect such as generalized neo-Hookean model, exponentially hardening model and Gent model. We also explored the physical implications of the crack tip fields, and highlighted pitfalls in the applications of these solutions, particularly the J-integral and the distribution of true stress in the deformed configuration which have not been discussed in the literature.

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A nonlinear symmetry breaking effect in shear cracks

Cited by 7 publications

References 35 publications

The onset of the frictional motion of dissimilar materials

The onset of the frictional motion of dissimilar materials

Recent developments in dynamic fracture: some perspectives

Crack tip fields in soft elastic solids subjected to large quasi-static deformation — A review

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