Supersonic rupture of rubber

Marder, Michael

doi:10.1016/j.jmps.2005.10.002

Cited by 57 publications

(65 citation statements)

References 37 publications

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“…The oscillatory cracks in rubber were intersonic (c s < v < c d ) [86], entailed bi-axial loading, and were subjected to very large background strains (which make the material response nonlinear everywhere). The oscillatory cracks in the elastomer gels were subsonic and were observed under uniaxial loading of such magnitude (∼ 10%) that the deformation away from the tip was predominantly linear elastic.…”

Section: B the Oscillatory Instabilitymentioning

confidence: 99%

“…We suspect that the incorporation of intrinsic length scales into fracture theory may be essential to developing equations of motion for crack tips/fronts and to understanding dynamic instabilities. Whether or not these ideas are also relevant to the crack oscillations observed in rubber [85,86,109], where the applied strains are extremely large and intersonic propagation velocities were reached, remains an open question.…”

Section: Understanding 2d Instabilitiesmentioning

confidence: 99%

“…This has been shown to take place either via the interaction of the crack front with localized perturbations [208], via radiation from an existing sub-Rayleigh front [149,199,200,209], or simply due to sufficient pre-existing strain energy surrounding the interface prior to nucleation [141]. This last scenario has been suggested as a necessary one for mode I super-shear cracks in rubber-like materials [86,109,210] and may well be relevant for mode II cracks as well.…”

Section: Fig 12mentioning

confidence: 99%

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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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Section: B the Oscillatory Instabilitymentioning

confidence: 99%

Section: Understanding 2d Instabilitiesmentioning

confidence: 99%

Section: Fig 12mentioning

confidence: 99%

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Recent developments in dynamic fracture: some perspectives

Fineberg

Bouchbinder

2015

Int J Fract

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“…It is well-known that continuum fracture mechanics is unable to explain many important fracture phenomena, including lattice trapping [7][8][9], crack tip instabilities [10][11][12][13], and crack velocities in steady-state [14], all of which depend intimately on the details of bonding between atoms [15]. Atomistic simulations have therefore become increasingly popular for studying crack tip deformation mechanisms and their implications for ductility [16], both in quasi-static [17][18][19][20] and dynamic [21][22][23][24] conditions. In the latter case, model interatomic potentials have found great utility in molecular dynamics simulations [12,13,[25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Crack tip blunting and cleavage under dynamic conditions

Rajan

2016

Journal of the Mechanics and Physics of Solids

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In structural materials with both brittle and ductile phases, cracks often initiate within the brittle phase and propagate dynamically towards the ductile phase. The macroscale, quasistatic toughness of the material thus depends on the outcome of this microscale, dynamic process. Indeed, dynamics has been hypothesized to suppress dislocation emission, which may explain the occurrence of brittle transgranular fracture in mild steels at low temperatures [1]. Here, crack tip blunting and cleavage under dynamic conditions is explored using continuum mechanics and molecular dynamics simulations. The focus is on two questions: 1) whether dynamics can affect the energy barriers for dislocation emission and cleavage, and 2) what happens in the dynamic "overloaded" situation, in which both processes are energetically possible. In either case, dynamics may shift the balance between brittle cleavage and ductile blunting, thereby affecting the intrinsic ductility of the material. To explore these effects in simulation, a novel interatomic potential is used for which the intrinsic ductility is tunable, and a novel simulation technique is employed, termed a "dynamic cleavage test," in which cracks can be run dynamically at a prescribed energy release rate into a material. Both theory and simulation reveal, however, that the intrinsic ductility of a material is unaffected by dynamics. The energy barrier to dislocation emission appears to be identical in quasi-static and dynamic conditions, and, in the overloaded situation, dislocation emission is kinetically preferred. Thus, dynamics cannot embrittle a ductile material, and the origin of brittle failure in certain alloys (e.g., mild steels) appears to be unrelated to dynamic effects at the crack tip.

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“…Meshfree methods applied to problems with cracking or rupture can also be found e.g. in [9,16,34,37].…”

Section: Introductionmentioning

confidence: 99%