Crack front waves: A 3D dynamic response to a local perturbation of tensile and shear cracks

Fekak, F.; Barras, Fabian; Dubois, Arnaud; Spielmann, David; Bonamy, Daniel; Geubelle, Philippe H.; Molinari, Jean‐François

doi:10.1016/j.jmps.2019.103806

Cited by 9 publications

(7 citation statements)

References 27 publications

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“…It is of interest to note that both the short-time and long-time limit regimes obey a simple d'Alembert 1D wave equation with different wave speeds and source functions; this may enable cost-effective numerical simulations of both regimes in more complex situations. This is consistent with what is observed in numerical simulations of dynamically growing crack interacting with a single localized asperity [32,33]. This FW speed also evolves in the transient regime: it starts at a value about two times less than the long-time limit value.…”

Section: Concluding Discussionsupporting

confidence: 89%

“…Then increases to reach the long-time limit value. This may explain why the FW speed measured in simulations (single asperity configuration) [33] are slightly (but noticeably) smaller than the value predicted theoretically, from the zero of the elastodynamic kernel P (k, ω) (Eq. 13).…”

Section: Concluding Discussionmentioning

confidence: 62%

“…They demonstrate that a new kind of front waves (FW) form and transport perturbations along the crack front without geometric attenuation. Originally invoked for mode I (tensile) loading, Fekak et al [33] recently showed FW also exist for mode II (shear) fracture. Some experiments [34] suggest FW are responsible for characteristic undulations along fracture surfaces, even though the precise origin of these undulations remains controversial [35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips

Dubois,

Bonamy

2020

Preprint

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We examine theoretically and numerically fast propagation of a tensile crack along unidimensional strips with periodically evolving toughness. In such dynamic fracture regimes, crack front waves form and transport front disturbances along the crack edge at speed less than the Rayleigh wave speed and depending on the crack speed. In this configuration, standing front waves dictate the spatio-temporal evolution of the local crack front speed, which takes a specific scaling form. Analytical examination of both the short-time and long-time limits of the problem reveals the parameter dependency with strip wavelength, toughness contrast and overall fracture speed. Implications and generalization to unidimensional strips of arbitrary shape are lastly discussed.

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Section: Concluding Discussionsupporting

confidence: 89%

Section: Concluding Discussionmentioning

confidence: 62%

Section: Introductionmentioning

confidence: 99%

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Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips

Dubois,

Bonamy

2020

Preprint

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“…[12][13][14][15] Distortions may also occur during more rapid propagation where material inertia leads to wave-mediated interactions along the fracture front 14,15 and thus local asperities lead to remarkably rapid transverse propagation of these crack front distortions. [16][17][18][19][20][21][22][23] More generally, material heterogeneities result in irregular crack front propagation in both space and time. Even in the absence of local heterogeneities any distortion of a crack front precludes the use of approximation of the 2D projection.…”

Section: Main Textmentioning

confidence: 99%

Unexpected Dynamics in the Propagation of Fracture Fronts

Cochard¹,

Svetlizky

Albertini

et al. 2023

Preprint

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Fractures are ubiquitous and lead to catastrophic failure of materials. While fracture in a two-dimensional plane is well understood, all fractures are, in fact, extended and propagate in a three-dimensional space and their behavior is more complex. Here we show that forward propagation of a fracture front always occurs through an initial rupture, nucleated at some localized position, followed by very rapid transverse expansion at velocities as high as the Rayleigh-wave speed. We study a circular geometry to achieve an uninterrupted extended fracture front and use fluid to control the loading conditions that determine the amplitude of the forward jump; we find this amplitude correlates with the transverse velocity. Dynamic rupture simulations capture the observations for only high transverse velocity. These results highlight the importance of transverse dynamics in the forward propagation of extended fracture.

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“…Structural Lamb waves, generated upon debonding of implanted brittle layers and reflected from sample boundaries, can disturb the crack front and leave large-scale periodic surface patterns (21). Moreover, a particular concept of one-dimensional elastic waves that exist only on the crack front, called crack front waves, has emerged since the 1990s posterior to numerical predictions of persistent crack front oscillations caused by local heterogeneities of fracture energy in a linear elastic medium (7,(22)(23)(24). These waves propagate along the crack front at nearly the Rayleigh wave speed and locally change the in-plane and out-of-plane crack motion (25)(26)(27).…”

mentioning

confidence: 99%

Self-emitted surface corrugations in dynamic fracture of silicon single crystal

Wang

Fourmeau

Zhao

et al. 2020

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

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When a dynamic crack front travels through material heterogeneities, elastic waves are emitted, which perturb the crack and change the morphology of the fracture surface. For asperity-free crystalline materials, crack propagation along preferential cleavage planes is expected to present a smooth crack front and form a mirror-like fracture surface. Surprisingly, we show here that in single crystalline silicon without material asperities, the crack front presents a local kink during high-speed crack propagation. Meanwhile, local oscillations of the crack front, which can move along the crack front, emerge at the front kink position and generate periodic fracture surface corrugations. They grow from angstrom amplitude to a few hundred nanometers and propagate with a long lifetime at a frequency-dependent speed, while keeping a scale-independent shape. In particular, the local front oscillations collide in a particle-like manner rather than proceeding with a linear superposition upon interaction, which presents the characteristic of solitary waves. We propose that such a propagating mode of the crack front, which results from the fracture energy fluctuation at a critical crack speed in the silicon crystal, can be considered as nonlinear elastic waves that we call “corrugation waves.”

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Crack front waves: A 3D dynamic response to a local perturbation of tensile and shear cracks

Cited by 9 publications

References 27 publications

Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips

Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips

Unexpected Dynamics in the Propagation of Fracture Fronts

Self-emitted surface corrugations in dynamic fracture of silicon single crystal

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