Supersonic Crack Propagation in a Class of Lattice Models of Mode III Brittle Fracture

Guozden, T. M.; Jagla, E. A.

doi:10.1103/physrevlett.95.224302

Cited by 15 publications

(10 citation statements)

References 11 publications

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“…The most remarkable results we obtain are the following. For stiffening of the springs at large stretching we find an extensive supersonic branch similar to one previously found for mode III configurations (Guozden and Jagla 2005). We also show that in the absence of dissipation, the size of the anharmonic zone scales as the width of the system, i.e., it occupies always a finite fraction of the system width.…”

Section: Additional Elastic Nonlinearitiessupporting

confidence: 54%

“…From this type of analysis we concluded that once cracks go supersonic the velocity is independent of L y . Moreover, additional considerations (see Guozden and Jagla 2005) suggested that the velocity is also largely independent of γ and δ/u bk ; i.e., it is determined by the value of δ/u nl alone.…”

Section: Fig 18mentioning

confidence: 98%

“…The most spectacular results concerns the case of stiffening springs, in which case the extent of supersonic branches is greatly enlarged. We have made a detailed analysis of this problem in a mode III configuration in a previous publication (Guozden and Jagla 2005).…”

Section: Additional Elastic Nonlinearitiesmentioning

confidence: 99%

“…In the case of Mode III cracks, experimental evidence of supersonic rupture was provided by Petersan et al (2004). Numerical and theoretical explanations involve the consideration of dissipative effects or spring nonlinearities, and were provided respectively by Marder (2005), Marder (2006) and Guozden and Jagla (2005). The experimental setting of the studies here described as Mode III is arguable; it is thin sheets of rubber, which when greatly stretched should obey the equations of Mode III elastodynamics.…”

Section: Introductionmentioning

confidence: 99%

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Supersonic cracks in lattice models

2009

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We have studied cracks traveling along weak interfaces. We model them using harmonic and anharmonic forces between particles in a lattice, both in tension (Mode I) and antiplane shear (Mode III). One of our main objects has been to determine when supersonic cracks traveling faster than the shear wave speed can occur. In contrast to subsonic cracks, the speed of supersonic cracks is best expressed as a function of strain, not stress intensity factor. Nevertheless, we find that supersonic cracks are more common than has previously been realized. They occur both in Mode I and Mode III, with or without anharmonic changes of interparticle forces prior to breaking, and with or without dissipation. The extent and shape of the supersonic branch of solutions depends strongly on details such as lattice geometry, force law anharmonicity, and amount of dissipation. Particle forces that stiffen prior to breaking lead to larger supersonic branches. Increasing dissipation also tends to promote the existence of supersonic states. We include a number of other results, including analytical expressions for crack speeds in the high-strain limit, and numerical results for the spatial extent of regions where particles interact anharmonically. Finally, we note a curious phenomenon, where for forces that weaken with increasing strain, cracks can slow down when one pulls on them harder.

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Section: Additional Elastic Nonlinearitiessupporting

confidence: 54%

Section: Fig 18mentioning

confidence: 98%

Section: Additional Elastic Nonlinearitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Supersonic cracks in lattice models

2009

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“…It has been recently established [7,8] that the propagation velocity in this kind of model crucially depends on the presence of anharmonicities of the springs. These anharmonicities are also called hyperelastic effects.…”

Section: Introductionmentioning

confidence: 99%

Some analytical results for the velocity of cracks propagating in nonlinear lattices

Guozden

Jagla

2006

Phys. Rev. E

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We analyze a piece-wise linear elastic model for the propagation of a crack in a stripe geometry under mode III conditions, in the absence of dissipation. The model is continuous in the propagation direction and discrete in the perpendicular direction. The velocity of the crack is a function of the value of the applied strain. We find analytically the value of the propagation velocity close to the Griffith threshold, and close to the strain of uniform breakdown. Contrary to the case of perfectly harmonic behavior up to the fracture point, in the piece-wise linear elastic model the crack velocity is lower than the sound velocity, reaching this limiting value at the strain of uniform breakdown. We complement the analytical results with numerical simulations and find excellent agreement.

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Electromagnetic Emission

Sause¹

2016

In Situ Monitoring of Fiber-Reinforced Composites

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Supersonic Crack Propagation in a Class of Lattice Models of Mode III Brittle Fracture

Cited by 15 publications

References 11 publications

Supersonic cracks in lattice models

Supersonic cracks in lattice models

Some analytical results for the velocity of cracks propagating in nonlinear lattices

Electromagnetic Emission

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