Continuum mesoscale theory inspired by plasticity
Condensed Matter
2009-09-29 v3
Abstract
We 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.
Cite
@article{arxiv.cond-mat/0203397,
title = {Continuum mesoscale theory inspired by plasticity},
author = {J. P. Sethna and M. Rauscher and J. -P. Bouchaud},
journal= {arXiv preprint arXiv:cond-mat/0203397},
year = {2009}
}
Comments
7 pages, 5 .eps figures. submitted to Europhysics Letters