TY - JOUR
T1 - Universality and Stability Phase Diagram of Two-Dimensional Brittle Fracture
AU - Lubomirsky, Yuri
AU - Chen, Chih-Hung
AU - Karma, Alain
AU - Bouchbinder, Eran
N1 - This research was supported in part by the U.S.-Israel Binational Science Foundation (BSF) Grant No. 2012061, which provided partial support for C.-H. C. E. B. acknowledges support from the William Z. and Eda Bess Novick Young Scientist Fund and the Harold Perlman Family. A. K. acknowledges the support of Grant No. DE-FG02-07ER46400 from the U.S. Department of Energy, Office of Basic Energy Sciences. We are grateful to J. Fineberg for providing the experimental result shown in Fig. 3(b). Y. Lubomirsky and C.-H. Chen contributed equally to this work.
PY - 2018/9/28
Y1 - 2018/9/28
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85054010647&partnerID=8YFLogxK
U2 - https://doi.org/10.1103/PhysRevLett.121.134301
DO - https://doi.org/10.1103/PhysRevLett.121.134301
M3 - مقالة
SN - 0031-9007
VL - 121
JO - Physical review letters
JF - Physical review letters
IS - 13
M1 - 134301
ER -