An Einstein Model of Brittle Crack Propagation

Details An Einstein Model of Brittle Crack Propagation An Einstein Model of Brittle Crack Propagation

1996-11-13

arxiv.org/abs/cond-mat/9611107v1

Physics

Condensed Matter

Materials Science

To appear in Physical Review Letters, 9 pages, self-contained TeX file, email to rafi@xi.com or blh@lanl.gov for two postscrip

Scientific paper

10.1103/PhysRevLett.78.78

We propose a minimal nonlinear model of brittle crack propagation by considering only the motion of the crack-tip atom. The model captures many essential features of steady-state crack velocity and is in excellent quantitative agreement with many-body dynamical simulations. The model exhibits lattice-trapping. For loads just above this, the crack velocity rises sharply, reaching a limiting value well below that predicted by elastic continuum theory. We trace the origin of the low limiting velocity to the anharmonicity of the potential well experienced by the crack-tip atom.

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