Co-dimension 2 plasticity in magnetoelastic amorphous solids

Details Co-dimension 2 plasticity in magnetoelastic amorphous solids Co-dimension 2 plasticity in magnetoelastic amorphous solids

2012-03-19

arxiv.org/abs/1203.4055v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

Plasticity in amorphous solids under external strain $\gamma$ is dominated by the co-dimension 1 saddle-node bifurcation in which an eigenvalue of the Hessian matrix vanishes at $\gamma_P$ like $\sqrt{\gamma_P-\gamma}$. It was shown in the recent literature that this square-root singularity determines much of the statistical physics of elasto-plasticity, and in particular that of the stress-strain curves under athermal-quasistatic conditions. In this Letter we show that magnetic amorphous solids exhibit co-dimension 2 plastic instabilities, when an external strain and an external magnetic field are applied simultaneously. This opens up a novel and extremely rich statistical physics for magentoplastic materials.

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