Instability in dynamic fracture

J Fineberg, M Marder - Physics Reports, 1999 - Elsevier
The fracture of brittle amorphous materials is an especially challenging problem, because
the way a large object shatters is intimately tied to details of cohesion at microscopic scales …

Atomistic aspects of crack propagation in brittle materials: Multimillion atom molecular dynamics simulations

CL Rountree, RK Kalia, E Lidorikis… - Annual Review of …, 2002 - annualreviews.org
▪ Abstract Atomistic aspects of dynamic fracture in a variety of brittle crystalline, amorphous,
nanophase, and nanocomposite materials are reviewed. Molecular dynamics (MD) …

Numerical simulations of fast crack growth in brittle solids

XP Xu, A Needleman - Journal of the Mechanics and Physics of Solids, 1994 - Elsevier
Dynamic crack growth is analysed numerically for a plane strain block with an initial central
crack subject to tensile loading. The continuum is characterized by a material constitutive …

Phase-field model of mode III dynamic fracture

A Karma, DA Kessler, H Levine - Physical Review Letters, 2001 - APS
We introduce a phenomenological continuum model for the mode III dynamic fracture that is
based on the phase-field methodology used extensively to model interfacial pattern …

Statistical models of fracture

MJ Alava, PKVV Nukala, S Zapperi - Advances in Physics, 2006 - Taylor & Francis
Disorder and long-range interactions are two of the key components that make material
failure an interesting playfield for the application of statistical mechanics. The cornerstone in …

Modeling fractures in rock blasting

FV Donze, J Bouchez, SA Magnier - International Journal of Rock …, 1997 - Elsevier
A numerical model based on the discrete element is used to investigate the importance of
stress waves on the initiation and propagation of radial fractures during the dynamic loading …

Microbranching instability and the dynamic fracture of brittle materials

E Sharon, J Fineberg - Physical Review B, 1996 - APS
We describe experiments on the dynamic fracture of the brittle plastic, PMMA. The results
suggest a view of the fracture process that is based on the existence and subsequent …

Origin of crack tip instabilities

M Marder, S Gross - Journal of the Mechanics and Physics of Solids, 1995 - Elsevier
This paper demonstrates that rapid fracture of ideal brittle lattices naturally involves
phenomena long seen in experiment, but which have been hard to understand from a …

Confirming the continuum theory of dynamic brittle fracture for fast cracks

E Sharon, J Fineberg - Nature, 1999 - nature.com
Crack propagation is the basic mechanism of materials failure. Experiments on dynamic
fracture in brittle amorphous materials have produced results that agree with theoretical …

Local crack branching as a mechanism for instability in dynamic fracture

E Sharon, SP Gross, J Fineberg - Physical Review Letters, 1995 - APS
The motion of a crack in dynamic fracture has been shown to be governed by a dynamical
instability causing oscillations in its velocity and structure on the fracture surface. We present …