Microbranching instability in phase-field modelling of dynamic brittle fracture

Abstract : The microbranching instability occurring for rapidly propagating cracks in brittle materials has been described in various experiments as an intrinsically three-dimensional phenomenon. Using a variational phase-field model, we show that the microbranching process is, indeed, a three-dimensional instability which exhibits a strong dependence on the sample width and can be suppressed for very thin samples. We show that the phase-field internal length scale is the decisive variable governing the branching pattern, which can be either localized in the transverse direction as observed in glass for example, or, on the contrary, almost translational invariant with quasi-periodic structures, as observed in PMMA.
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Applied Physics Letters, American Institute of Physics, 2017, 110 (15), pp.151903. 〈10.1063/1.4980064〉
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Jeremy Bleyer, Jean-François Molinari. Microbranching instability in phase-field modelling of dynamic brittle fracture. Applied Physics Letters, American Institute of Physics, 2017, 110 (15), pp.151903. 〈10.1063/1.4980064〉. 〈hal-01508202〉

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