@article {1869d09f3d8041d5be39cbc002adc2ab,
	title = {Weakly nonlinear theory of dynamic fracture},
	journal = {Physical Review Letters},
	volume = {101},
	number = {26},
	year = {2008},
	month = {dec},
	publisher = {American Physical Society},
	abstract = {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.},
	issn = {0031-9007},
	doi = {10.1103/PhysRevLett.101.264302},
	url = {https://drive.google.com/file/d/1W-Z5Dh8CkbCLP5_HAcxDYivbuyXJZA05/view?usp=drive_link},
	author = {Eran Bouchbinder and Ariel Livne and Jay Fineberg}
}
