Universality and Stability Phase Diagram of Two-Dimensional Brittle Fracture

Yuri Lubomirsky, Chih-Hung Chen, Alain Karma, Eran Bouchbinder

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number134301
Number of pages6
JournalPhysical review letters
Volume121
Issue number13
DOIs
StatePublished - 28 Sep 2018

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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