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Universal Breakdown of Elasticity at the Onset of Material Failure

Craig Maloney·Anaël Lemaître
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Abstract

We show that, in the athermal quasi-static deformation of amorphous materials, the onset of failure is accompanied by universal scalings associated with a \emph{divergence} of elastic constants. A normal mode analysis of the non-affine elastic displacement field allows us to clarify its relation to the zero-frequency mode at the onset of failure and to the crack-like pattern which results from the subsequent relaxation of energy.

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Craig Maloney, Anaël Lemaître. 2004-05-05. Universal Breakdown of Elasticity at the Onset of Material Failure. https://doi.org/10.1103/physrevlett.93.195501

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