Universality and Stability Phase Diagram of Two-Dimensional Brittle Fracture
- Weizmann Inst. of Science, Rehovot (Israel). Chemical and Biological Physics Dept.
- Northeastern Univ., Boston, MA (United States). Dept. of Physics. Center for Interdisciplinary Research on Complex Systems
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.
- Research Organization:
- Northeastern Univ., Boston, MA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- Grant/Contract Number:
- FG02-07ER46400
- OSTI ID:
- 1541367
- Alternate ID(s):
- OSTI ID: 1473730; OSTI ID: 1906139
- Journal Information:
- Physical Review Letters, Vol. 121, Issue 13; ISSN 0031-9007
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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