Universal breakdown of elasticity at the onset of material failure

  • Maloney C
  • Lemaître A
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Abstract

We show that, in the athermal quasistatic deformation of amorphous materials, the onset of failure is accompanied by universal scalings associated with a divergence of elastic constants. A normal mode analysis of the nonaffine elastic displacement field allows us to clarify its relation to the zero-frequency mode at the onset of failure and to the cracklike pattern which results from the subsequent relaxation of energy.

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