J. P. Sethna et al 2004 Europhys. Lett. 65 665 doi:10.1209/epl/i2003-10175-2
J. P. Sethna1, M. Rauscher1,2,3 and J.-P. Bouchaud4
Show affiliationsWe present a simple mesoscale field theory inspired by rate-independent plasticity that reflects the symmetry of the deformation process. We parameterize the plastic deformation by a scalar field which evolves with loading. The evolution equation for that field has the form of a Hamilton-Jacobi equation which gives rise to cusp-singularity formation. These cusps introduce irreversibilities analogous to those seen in plastic deformation of real materials: we observe a yield stress, work hardening, reversibility under unloading, and cell boundary formation.
62.20.Fe Deformation and plasticity (including yield, ductility, and superplasticity)
Issue 5 (March 2004)
Received 29 August 2003, accepted for publication 5 January 2004, in final form 5 January 2004
An Erratum for this article has been published in 2004 Europhys. Lett. 66 303
J. P. Sethna et al 2004 Europhys. Lett. 65 665
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