Energy Dissipation in Dynamic Fracture

Sharon, Eran; Gross, Steven P.; Fineberg, Jay

doi:10.1103/physrevlett.76.2117

Cited by 241 publications

(208 citation statements)

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“…Initially, G heat increases linearly with the crack propagation speed, suggesting viscous crack propagation. At high velocities G heat increases faster than linear, which is consistent with both the theoretical basis for the MD Invited paper for the Special Issue of Journal of Materials Science Special Issue Title: "Nanostructured Materials and Mechanical Behavior" 20 simulation model [37] and experimental observations of a crack moving in a brittle amorphous material [38].…”

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confidence: 66%

Dynamics of nanoscale grain-boundary decohesion in aluminum by molecular-dynamics simulation

et al. 2007

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The dynamics and energetics of intergranular crack growth along a flat grain boundary in aluminum is studied by a molecular-dynamics simulation model for crack propagation under steady-state conditions. Using the ability of the molecular-dynamics simulation to identify atoms involved in different atomistic mechanisms, it was possible to identify the energy contribution of different processes taking place during crack growth. The energy contributions were divided as: elastic energy -defined as the potential energy of the atoms in fcc crystallographic state; and plastically stored energy -the energy of stacking faults and twin boundaries; grain-boundary and surface energy. In addition, monitoring the amount of heat exchange with the moleculardynamics thermostat gives the energy dissipated as heat in the system. The energetic analysis indicates that the majority of energy in a fast growing crack is dissipated as heat. This dissipation increases linearly at low speed, and faster than linear at speeds approaching 1/3 the Rayleigh wave speed when the crack tip becomes dynamically unstable producing periodic dislocation bursts until the crack is blunted.

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confidence: 66%

Dynamics of nanoscale grain-boundary decohesion in aluminum by molecular-dynamics simulation

et al. 2007

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“…branches increase with v. The increased length and density of the micro-branches gives rise to correspondingly rougher fracture surface features, larger velocity fluctuations, and a sharp increase of the fracture energy that is proportional to the total micro-branch length [49,57]. As Fig.…”

Section: A the Micro-branching Instabilitymentioning

confidence: 75%

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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“…The phenomenology of the crack propagation is wellestablished by recent experimental studies [3][4][5][6][7][8][9]: once a flux of energy to the crack tip passes the critical value, the crack becomes unstable, it begins to branch and emits sound. Although this rich phenomenology is consistent with the continuum theory, it fails to describe it because the way the macroscopic object breaks depends crucially on the details of cohesion on the microscopic scale [10].…”

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Continuum Field Description of Crack Propagation

2000

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We develop continuum field model for crack propagation in brittle amorphous solids. The model is represented by equations for elastic displacements combined with the order parameter equation which accounts for the dynamics of defects. This model captures all important phenomenology of crack propagation: crack initiation, propagation, dynamic fracture instability, sound emission, crack branching and fragmentation. PACS: 62.20.Mk, 46.50.+a, 02.70.Bf The dynamics of cracks is the long-standing challenge in solid state physics and materials science [1,2]. The phenomenology of the crack propagation is wellestablished by recent experimental studies [3][4][5][6][7][8][9]: once a flux of energy to the crack tip passes the critical value, the crack becomes unstable, it begins to branch and emits sound. Although this rich phenomenology is consistent with the continuum theory, it fails to describe it because the way the macroscopic object breaks depends crucially on the details of cohesion on the microscopic scale [10].Significant progress in understanding of fracture dynamics was made by large-scale (about 10 7 atoms) molecular dynamics (MD) simulations [11,12]. Although limited to sub-micron samples, these simulations were able to reproduce several key features of the crack propagation, in particular, the initial acceleration of cracks and the onset of dynamic instability. However, detailed understanding of the complex physics of the crack propagation still remains a challenge [13].The uniform motion of the crack is relatively wellunderstood in the framework of the continuum theory [14]. Most of the studies treat cracks as a front or interface separating broken/unbroken materials and propagating under the forces arising from elastic stresses in the bulk of material and additional cohesive stresses near the crack tip [15][16][17][18]. Although these investigations revealed some features of the oscillatory crack tip instability, they are based on built-in assumptions, e.g., on specific dependence of the fracture toughness on velocity, structure of the cohesive stress etc. To date there is no continuum model capable to describe in the same unified framework the whole phenomenology of the fractures, ranging from crack initiation to oscillations and branching.In this Letter we present a continuum field theory of the crack propagation. Our model is the wave equations for the elastic deformations combined with the equation for the order parameter, which is related to the concentration of material defects. The model captures all important phenomenology: crack initiation by small perturbation, quasi-stationary propagation, instability of fast cracks, sound emission, branching and fragmentation.Model. Our model is a set of the elasto-dynamic equations coupled to the equation for order parameter ρ.We define the order parameter as the relative concentration of point defects in amorphous material (e.g., microvoids). Outside the crack (no defects) ρ = 1 and ρ = 0 inside the crack (all the atomic bonds are broken). At the crack surf...

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Energy Dissipation in Dynamic Fracture

Cited by 241 publications

References 21 publications

Dynamics of nanoscale grain-boundary decohesion in aluminum by molecular-dynamics simulation

Dynamics of nanoscale grain-boundary decohesion in aluminum by molecular-dynamics simulation

Recent developments in dynamic fracture: some perspectives

Continuum Field Description of Crack Propagation

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