Continuum mesoscale theory inspired by plasticity

Details Continuum mesoscale theory inspired by plasticity Continuum mesoscale theory inspired by plasticity

2002-03-20

arxiv.org/abs/cond-mat/0203397v3

Physics

Condensed Matter

7 pages, 5 .eps figures. submitted to Europhysics Letters

Scientific paper

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.

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