Dynamics of Large-Scale Plastic Deformation and the Necking Instability in Amorphous Solids

Details Dynamics of Large-Scale Plastic Deformation and the Necking Instability in Amorphous Solids Dynamics of Large-Scale Plastic Deformation and the Necking Instability in Amorphous Solids

2002-06-19

arxiv.org/abs/cond-mat/0206363v2

Phys. Rev. Lett. 90, 045506 (2003)

Physics

Condensed Matter

Materials Science

4 pages, 3 figures (eps), revtex4, added references, changed and added content, resubmitted to PRL

Scientific paper

10.1103/PhysRevLett.90.045506

We use the shear transformation zone (STZ) theory of dynamic plasticity to study the necking instability in a two-dimensional strip of amorphous solid. Our Eulerian description of large-scale deformation allows us to follow the instability far into the nonlinear regime. We find a strong rate dependence; the higher the applied strain rate, the further the strip extends before the onset of instability. The material hardens outside the necking region, but the description of plastic flow within the neck is distinctly different from that of conventional time-independent theories of plasticity.

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