@conference {38d4de23f3ba43128d26fbf8ae3c5db7,
	title = {A theoretical description of the structure of the nonlinear zone in the vicinity of the tip of a dynamic mode I crack},
	booktitle = {12th International Conference on Fracture 2009, ICF-12},
	series = {12th International Conference on Fracture 2009, ICF-12},
	year = {2009},
	note = {12th International Conference on Fracture 2009, ICF-12 ; Conference date: 12-07-2009 Through 17-07-2009},
	pages = {6569{\textendash}6578},
	abstract = {The common approach to fracture dynamics, linear elastic fracture mechanics (LEFM), assumes infinitesimal deformation gradients, but, in the vicinity of a crack{\textquoteright}s tip predicts diverging r-1/2 crack tip strains, a result that appears self-contradictory. We derive the leading nonlinear elastic corrections to these asymptotic fields and show that the resulting theory quantitatively resolves a number of discrepancies raised by recent near-tip measurements of the strain field surrounding a dynamic crack, which are presented in an accompanying paper. We show that no region of r -1/2 dominance exists and "more-divergent" strain terms occur at a finite distance from the tip. In addition, a dynamical length-scale, associated with a nonlinear elastic zone, appears naturally. Where LEFM falls short, the theory provides excellent quantitative agreement with the measured, near-tip, displacement and strain fields. The theory serves as a springboard for the development of a comprehensive theory of fracture dynamics.},
	isbn = {9781617382277},
	author = {Eran Bouchbinder and Ariel Livne and Jay Fineberg}
}
