Crack front waves

Morrissey, John W.; Rice, James R.

doi:10.1016/s0022-5096(97)00072-0

Cited by 121 publications

(85 citation statements)

References 17 publications

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“…5 and observed a shrinkage of l coh as v increased. This relativistic process zone contraction as v approaches the information speed is indeed predicted theoretically [42][43][44] and was recently measured in experiments [45]. l coh is even expected to be infinitely small when v approaches c R .…”

Section: 144101 (2017) P H Y S I C a L R E V I E W L E T T E R Ssupporting

confidence: 72%

Interplay between Process Zone and Material Heterogeneities for Dynamic Cracks

2017

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Using an elastodynamic boundary integral formulation coupled with a cohesive model, we study the problem of a dynamic rupture front propagating along an heterogeneous plane. We show that small-scale heterogeneities facilitate the supershear transition of a mode-II crack. The elastic pulses radiated during front accelerations explain how microscopic variations of fracture toughness change the macroscopic rupture dynamics. Perturbations of dynamic fronts are then systematically studied with different microstructures and loading conditions. The process zone size is the intrinsic length scale controlling heterogeneous dynamic rupture. The ratio of this length scale to asperity size is proposed as an indicator to transition from quasihomogeneous to heterogeneous fracture. Moreover, we discuss how the shortening of the process zone size with increasing crack speed brings the front to interact with smaller details of the microstructure. This study shines new light on recent experiments reporting perturbations of dynamic rupture fronts, which intensify with crack propagation speed. DOI: 10.1103/PhysRevLett.119.144101 Introduction.-Our modern understanding of fracture arose from Griffith [1] and Irwin [2] which viewed crack propagation as a thermodynamic process where, at equilibrium, the energetic cost of creating new surfaces in the material is balanced by the release of strain energy subsequent to crack advance. This theoretical framework known as linear elastic fracture mechanics (LEFM) has been successfully used over the last 50 years to predict the stability of flaws in engineering materials. Consequently LEFM was extended to cracked bodies far from equilibrium, i.e., to dynamic fracture mechanics [3,4]. Experiments on brittle solids showed that this dynamic theory of fracture gives good prediction for slow crack propagation but is unsuitable to describe fast rupture events where the crack front speed is a significant fraction of material shear wave speed c s . In particular, linear elastic theory overestimates the propagation speed and significantly underestimates the dissipated energy. For a review of dynamic fracture experiments, the reader is referred to [5][6][7][8][9]. A three-stage transition is universally observed within brittle materials, usually referred to as "mirror," "mist," and "hackle" in reference to the postmortem appearance of fracture surface. At low rupture velocity, fracture surfaces are planar and smooth (mirror) and crack dynamics is thereby well predicted by LEFM theory. As crack speed increases, the rupture remains in plane but fracture surface roughens (mist), followed by a stage characterized by the formation of out-of-plane microbranches (hackle), and finally the onset of macroscopic branching. This transition observed in various brittle materials [7,10] and at different scales [11,12] explains how linear elasticity fails at describing fast rupture events where the front starts to interplay with the microstructure and/or dynamic instabilities

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Section: 144101 (2017) P H Y S I C a L R E V I E W L E T T E R Ssupporting

confidence: 72%

Interplay between Process Zone and Material Heterogeneities for Dynamic Cracks

2017

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“…In this case, the crack front is assumed to remain within its tensile symmetry plane, but to experience in-plane shape perturbations. In the framework of LEFM and a linear perturbation theory [22][23][24], perturbations to the crack front were shown to propagate along the front without attenuation (as long as Γ is independent of v) at nearly c R , for any v.…”

Section: Three-dimensional Tensile Cracks: Micro-branching Front mentioning

confidence: 99%

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 addition, for comparison purposes, some calculations are carried out for a crack in a homogeneous metal single crystal. Considering a metal-ceramic interface has several advantages over the homogeneous material case: (i) crack growth along interfaces occurs when the interfacial cohesive strength is lower than that of the surrounding homogeneous materials; with decreasing cohesive strength the plastic zone size decreases, which reduces the computational time and decreasing cohesive strength increases the effective cohesive length, which improves numerical accuracy for a given mesh resolution [25]; (ii) along a bimaterial interface, crack growth often occurs along the interface so that our assumption of straight-ahead crack growth is appropriate; and (iii) even though straight-ahead crack growth occurs, the mismatch in material properties allows mixed-mode loading effects to be explored. In addition, fatigue crack growth along metal-ceramic interfaces is of interest in its own right, see [20][21][22]26].…”

Section: Introductionmentioning

confidence: 99%

Discrete dislocation modeling of fatigue crack propagation

Deshpande

Needleman

Giessen³

2002

Acta Materialia

128

100

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Discrete dislocation modeling of fatigue crack propagation Deshpande, V.S.; Needleman, A.; van der Giessen, E.Published in: Acta Materialia DOI: 10.1016/S1359-6454(01)00377-9IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below. Document VersionPublisher's PDF, also known as Version of record Publication date: 2002Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Deshpande, V. S., Needleman, A., & van der Giessen, E. (2002). Discrete dislocation modeling of fatigue crack propagation. Acta Materialia, 50(4), 831-846. [PII S1359-6454(01)00377-9]. https://doi.org/10.1016/S1359-6454(01)00377-9 Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons).Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. AbstractAnalyses of the growth of a plane strain crack subject to remote mode I cyclic loading under small-scale yielding are carried out using discrete dislocation dynamics. Cracks along a metal-rigid substrate interface and in a single crystal are studied. The formulation is the same as that used to analyze crack growth under monotonic loading conditions, differing only in the remote stress intensity factor being a cyclic function of time. Plastic deformation is modeled through the motion of edge dislocations in an elastic solid with the lattice resistance to dislocation motion, dislocation nucleation, dislocation interaction with obstacles and dislocation annihilation being incorporated through a set of constitutive rules. An irreversible relation is specified between the opening traction and the displacement jump across a cohesive surface ahead of the initial crack tip in order to simulate cyclic loading in an oxidizing environment. The cyclic crack growth rate log(da/dN) versus applied stress intensity factor range log(⌬K I ) curve that emerges naturally from the solution of the boundary value problem shows distinct threshold and Paris law regimes. Paris law exponents in the range 4 to 8 are obtained for the parameters employed here. Furthermore, rather uniformly spaced slip bands corresponding to surface striations develop in the wakes of the propagating cracks. 

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Crack front waves

Cited by 121 publications

References 17 publications

Interplay between Process Zone and Material Heterogeneities for Dynamic Cracks

Interplay between Process Zone and Material Heterogeneities for Dynamic Cracks

Recent developments in dynamic fracture: some perspectives

Discrete dislocation modeling of fatigue crack propagation

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