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(Submitted on 19 Jul 2018)
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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.
Submission history
From: Eran Bouchbinder [ view email10 Queen Shopping x38cm HippoWarehouse Gym Tote 42cm Nap Natural litres Beach Bag Oq4nz5Z4x][v1] Thu, 19 Jul 2018 10:17:44 GMT (1816kb,D)