Universal Breakdown of Elasticity at the Onset of Material Failure

Details Universal Breakdown of Elasticity at the Onset of Material Failure Universal Breakdown of Elasticity at the Onset of Material Failure

2004-05-05

arxiv.org/abs/cond-mat/0405096v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 8 figures

Scientific paper

10.1103/PhysRevLett.93.195501

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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