Instability in dynamic fracture

Fineberg, Jay; Gross, Steven P.; Marder, Michael; Swinney, Harry L.

doi:10.1103/physrevlett.67.457

Cited by 387 publications

(167 citation statements)

References 90 publications

Supporting

Mentioning

151

Contrasting

Unclassified

Order By: Relevance

“…This is consistent with findings in experiments [34,35] and MD simulations [15,36], which indicated that brittle cracks have limiting velocities well below predictions by continuum fracture theory.…”

Section: Brittle-to-ductile Transitionsupporting

confidence: 80%

Brittle versus ductile behaviour of nanotwinned copper: A molecular dynamics study

et al. 2015

View full text Add to dashboard Cite

Nanotwinned copper (Cu) exhibits an unusual combination of ultra-high yield strength and high ductility. A brittle-to-ductile transition was previously experimentally observed in nanotwinned Cu despite Cu being an intrinsically ductile metal. However, the atomic mechanisms responsible for brittle fracture and ductile fracture in nanotwinned Cu are still not clear. In this study, molecular dynamics (MD) simulations at different temperatures have been performed to investigate the fracture behaviour of a nanotwinned Cu specimen with a single-edge-notched crack whose surface coincides with a twin boundary. Three temperature ranges are identified, indicative of distinct fracture regimes, under tensile straining perpendicular to the twin boundary. Below 1.1 K, the crack propagates in a brittle fashion. Between 2 K and 30 K a dynamic brittle-to-ductile transition is observed. Above 40 K the crack propagates in a ductile mode. A detailed analysis has been carried out to understand the atomic fracture mechanism in each fracture regime. Between 2 K and 30 K a dynamic brittle-to-ductile transition is observed. Above 40 K the crack propagates in a ductile mode. A detailed analysis has been carried out to understand the atomic fracture mechanism in each fracture regime.

show abstract

Section: Brittle-to-ductile Transitionsupporting

confidence: 80%

Brittle versus ductile behaviour of nanotwinned copper: A molecular dynamics study

et al. 2015

View full text Add to dashboard Cite

show abstract

“…Instead of the propagation of a single simple crack, these experiments showed that rapid cracks are composed of an ensemble of simultaneously propagating cracks. Later experiments [46], suggested that the break-up of a simple crack to multiple cracks occurred at a critical velocity, at which a single crack became unstable. This instability, which became known at the "microbranching" instability, was later shown to be characteristic of many brittle amorphous materials [11,31,[46][47][48][49][50][51][52][53][54][55].…”

Section: A the Micro-branching Instabilitymentioning

confidence: 99%

Recent developments in dynamic fracture: some perspectives

Fineberg

Bouchbinder

2015

Int J Fract

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…Then, as v reaches the first critical velocity v a ≃165 m.s −1 =0.19 c R , Γ increases abruptly to a value about 3 times larger than K 2 c /E. Beyond v a , Γ increases slowly with v up to the second critical velocity, v b =0.36c R ≃ 317 m.s −1 [10], above which Γ diverges again with v. This second increase corresponds to the onset of the micro-branching instability, widely discussed in the literature [11] [10], whereas the first one, at v a , was reported in [38] for the first time. The high slope of Γ(v) around v a provides a direct interpretation for the repeated observation of cracks that span a large range of Γ but propagate at a nearly constant velocity of about 0.2c R (see e.g.…”

Section: -P2mentioning

confidence: 90%

“…The existence of a micro-branching instability [11,12] at a critical velocity v b = 0.4c R may explain part of this discrepancy: Beyond v b , the crack motion stops to be a single crack state to become a multiple crack state that cannot be described by Eq. 1 anymore.…”

Section: Introductionmentioning

confidence: 95%

Damage and dissipation mechanisms in the dynamic fracture of brittle materials: Velocity driven transition from nominally brittle to quasi-brittle

Scheibert

Guerra

Dalmas

et al. 2010

EPJ Web of Conferences

View full text Add to dashboard Cite

Abstract.We present the results of recent dynamic fracture experiments [Scheibert et al., Phys. Rev. Lett. 104 (2010) 045501] on polymethylmethacrylate, the archetype of nominally brittle materials, over a wide range of crack velocities. By combining velocity measurements and finite element calculations of the stress intensity factor, we determine the dynamic fracture energy as a function of crack speed. We show that the slope of this curve exhibits a discontinuity at a well-defined critical velocity, below the one associated to the onset of micro-branching instability. This transition is associated with the appearance of conics patterns on the fracture surfaces. In many amorphous materials, these are the signature of damage spreading through the nucleation, growth and coalescence of micro-cracks. We end with a discussion of the relationship between the energetic and fractographic measurements. All these results suggest that dynamic fracture at low velocities in amorphous materials is controlled by the brittle/quasi-brittle transition studied here.

show abstract

Instability in dynamic fracture

Cited by 387 publications

References 90 publications

Brittle versus ductile behaviour of nanotwinned copper: A molecular dynamics study

Brittle versus ductile behaviour of nanotwinned copper: A molecular dynamics study

Recent developments in dynamic fracture: some perspectives

Damage and dissipation mechanisms in the dynamic fracture of brittle materials: Velocity driven transition from nominally brittle to quasi-brittle

Contact Info

Product

Resources

About