Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 26, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.264302
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Funding
- Israel Science Foundation [57/07]
- Horowitz Center for Complexity Science
- Lady Davis Trust
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The common approach to crack dynamics, linear elastic fracture mechanics, assumes infinitesimal strains and predicts a r(-1/2) strain divergence at a crack tip. We extend this framework by deriving a weakly nonlinear fracture mechanics theory incorporating the leading nonlinear elastic corrections that must occur at high strains. This yields strain contributions more divergent than r(-1/2) at a finite distance from the tip and logarithmic corrections to the parabolic crack tip opening displacement. In addition, a dynamic length scale, associated with the nonlinear elastic zone, emerges naturally. The theory provides excellent agreement with recent near-tip measurements that cannot be described in the linear elastic fracture mechanics framework.
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