Journal
PHYSICAL REVIEW LETTERS
Volume 121, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.134301
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Funding
- U.S.-Israel Binational Science Foundation (BSF) [2012061]
- William Z. and Eda Bess Novick Young Scientist Fund
- Harold Perlman Family
- U.S. Department of Energy, Office of Basic Energy Sciences [DE-FG02-07ER46400]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [2012061] Funding Source: National Science Foundation
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The two-dimensional oscillatory crack instability, experimentally observed in a class of brittle materials under strongly dynamic conditions, has been recently reproduced by a nonlinear phase-field fracture theory. Here, we highlight the universal character of this instability by showing that it is present in materials exhibiting widely different near crack tip elastic nonlinearity, and by demonstrating that the oscillations wavelength follows a universal master curve in terms of dissipation-related and nonlinear elastic intrinsic length scales. Moreover, we show that upon increasing the driving force for fracture, a high-velocity tip-splitting instability emerges, as experimentally demonstrated. The analysis culminates in a comprehensive stability phase diagram of two-dimensional brittle fracture, whose salient properties and topology are independent of the form of near tip nonlinearity.
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